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- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | and that energy of the photon is greater than the work function , which means that that 's a high-energy photon . it 's able to knock the electron free , 'cause remember , this number right here , is the minimum amount of energy needed to free the electron and so we 've exceeded that minimum amount of energy , and so w... | is the requirement for light to free electron a minimum amount of energy , or is it a range ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so one photon creates one photoelectron . so one particle hits another particle . and , if you think about this in terms of classical physics , you could think about energy being conserved . | why do we have to think about an electron as particle in photo effect not a wave ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so we can knock it loose , and so let me go ahead and show that . so here , we 're showing the electron being knocked loose and so the electron 's moving in , let 's just say , this direction , with some velocity , v , and if the electron has mass , m , we know that there 's a kinetic energy . the kinetic energy of the... | of electron is knocked out then wo n't it change the configuration of the metal ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | is it possible for a photon to knock out multiple electrons ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | energy of a photon is e=hf not hv right ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | does a photon have a finite energy or a finite momentum ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | how does light `` hit '' the electron and have an effect on it if on a subatomic level it has no mass ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so one photon creates one photoelectron . so one particle hits another particle . and , if you think about this in terms of classical physics , you could think about energy being conserved . | how can a massless particle knock out an electron ( which has a mass ) ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | what will be the consequence if the work function is equal o the initial energy of the photon ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | the problem asked us to solve for the velocity of the photoelectron . so all we have to do is plug in the mass of an electron , which is 9.11 times 10 to the negative 31st kilograms , times v squared . this is equal to 3.5 times 10 to the negative 20 . | in the calculation , does the mass of the photoelectron needs to be converted to grams since 9.11 x 10^31 is in kg ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so the problem says , `` if a photon of wavelength `` 525 nm hits metallic cesium ... '' and so here 's the work function for metallic cesium . `` what is the velocity of the photoelectron produced ? '' so they want to know the velocity of the photoelectron produced , which we know is hiding in the kinetic energy right... | also is the velocity calculated a vector so how do we represent the direction ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | some of that energy was needed to free the electron . so the electron was bound , and some of the energy freed the electron . i 'm gon na call that e naught , the energy that freed the electron , and then the rest of that energy must have gone into the kinetic energy of the electron , and so we can write here kinetic e... | this might sound like a stupid question but what happens to the electron once it 's freed out of the metal surface and what happens to the photon ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | if f = m x a , and a photon is massless , than how can it knock off an electron ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and this electron is bound to the metal because it 's attracted to the positive charges in the nuc... | so if enough energy is passed to the atoms in that metal plate , would all the atoms inside become cations and change the properties of that metal ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so we can knock it loose , and so let me go ahead and show that . so here , we 're showing the electron being knocked loose and so the electron 's moving in , let 's just say , this direction , with some velocity , v , and if the electron has mass , m , we know that there 's a kinetic energy . the kinetic energy of the... | how does sal know the mass of the electron ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | why does a photon travel 1,000 times faster ( in this example , anyway ) than a photo-electron ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so the problem says , `` if a photon of wavelength `` 525 nm hits metallic cesium ... '' and so here 's the work function for metallic cesium . `` what is the velocity of the photoelectron produced ? '' so they want to know the velocity of the photoelectron produced , which we know is hiding in the kinetic energy right... | so is the velocity of the photoelectron 0m/s or what ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so let me go ahead and highlight that here . so this number is not as high as the work function . the work function was how much energy we needed to free that electron , and since this is lower than the work function that means we do not get a photoelectron . so , you have to have a high enough energy photon in order t... | what happens to the part of the energy 'expended ' to do the work function ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | and this e naught , here i 'm calling it e naught , you might see it written differently , a different symbol , but this is the work function . let me go ahead and write work function here , and the work function is different for every kind of metal . so , it 's the minimum amount of energy that 's necessary to free th... | is the work function affected by heat ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | it 's able to knock the electron free , 'cause remember , this number right here , is the minimum amount of energy needed to free the electron and so we 've exceeded that minimum amount of energy , and so we will produce a photoelectron . so , this photon is high-energy enough to produce a photoelectron . so let 's go ... | if i put enough photons who have enough energy to remove all the electrons then at the very last , the metal will be without electron ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | some of that energy was needed to free the electron . so the electron was bound , and some of the energy freed the electron . i 'm gon na call that e naught , the energy that freed the electron , and then the rest of that energy must have gone into the kinetic energy of the electron , and so we can write here kinetic e... | what is photo-electron rather than being photon partial with electron ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so if we had more and more and more of these photons at this wavelength , we still would n't produce any photoelectrons . and so , this is the idea of the photoelectric effect , which is best explained by thinking about light as a particle . | how is the photoelectric effect evidence that light has particle nature ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so if we had more and more and more of these photons at this wavelength , we still would n't produce any photoelectrons . and so , this is the idea of the photoelectric effect , which is best explained by thinking about light as a particle . | why ca n't wave nature of light explain photoelectric effect ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | and , if you think about this in terms of classical physics , you could think about energy being conserved . so the energy of the photon , the energy that went in , so let me go ahead and write this here , so the energy of the photon , the energy that went in , what happened to that energy ? some of that energy was nee... | how do you know if it is just one photon with an energy of say , x or multiple photons with a cumulative energy of x which dislodges the electron ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so , you have to have a high enough energy photon in order to produce a photoelectron . it would n't even matter if we increased the intensity . so if we had more and more and more of these photons at this wavelength , we still would n't produce any photoelectrons . and so , this is the idea of the photoelectric effect... | also we are talking about classical mechanics is n't the photons motion supposed to be studied by quantum mechanics ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so let 's think about this same problem , but let 's change the wavelength . so , what if your wavelength changed to 625 nanometers . so what would happen now ? | if the wavelength of the photon was 625 nm then what would 've happened ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so , what if your wavelength changed to 625 nanometers . so what would happen now ? well , to save time , i wo n't do the calculation , but all we would have to do is plug in 625 up here . | would the photons just pass through cesium without affecting it or would cesium be transparent for the 625 nm wavelength light ( probably orange ) or would something else happen entirely ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | if so then what exactly does happen when the energy of the photon is less than the work function of the metal it hits ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | if the photon does not have enough energy to knock the electron free , that is if the energy of the photon is less than the work function , what happens then ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so we can knock it loose , and so let me go ahead and show that . so here , we 're showing the electron being knocked loose and so the electron 's moving in , let 's just say , this direction , with some velocity , v , and if the electron has mass , m , we know that there 's a kinetic energy . the kinetic energy of the... | does the electron have a negative velocity in that case ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | i 'm gon na go ahead and draw one electron in here , and this electron is bound to the metal because it 's attracted to the positive charges in the nucleus . if you shine a light on the metal , so the right kind of light with the right kind of frequency , you can actually knock some of those electrons loose , which cau... | could you fine tune the frequency of the light so the electrons velocity is visible to the human eye ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | how would the photon knock the electron without any mass ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | does a photon with a smaller wavelength cause an electron on the metal surface to be ejected with a greater velocity ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | if you shine a light on the metal , so the right kind of light with the right kind of frequency , you can actually knock some of those electrons loose , which causes a current of electrons to flow . so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na ... | do photons ever emerge or combine like waves do ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | but sal , what exactly happens to the photon ( and its energy ) when its energy is less than the work function ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | who decided that a photon was massless ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | i 'm gon na go ahead and draw one electron in here , and this electron is bound to the metal because it 's attracted to the positive charges in the nucleus . if you shine a light on the metal , so the right kind of light with the right kind of frequency , you can actually knock some of those electrons loose , which cau... | does this mean we can generate electric current using electromagnetic radiation ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | the frequency is equal to speed of light over lambda , so we can plug that into here , and so now we have the energy of the photon is equal to hc over lambda , and we can plug in those numbers . h is planck 's constant , which is 6.626 times 10 to the negative 34 . so , times 10 to the negative 34 here . | what is planck 's constant ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | c is the speed of light , which is 2.998 times 10 to the 8th meters over seconds , and all over lambda . lambda is the wavelength . that 's 525 nanometers . | can wavelength be expressed in any other form like m , cm , km ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | c is the speed of light , which is 2.998 times 10 to the 8th meters over seconds , and all over lambda . lambda is the wavelength . that 's 525 nanometers . | why is wavelength expressed in nm ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | - sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . | why ca n't we explain photo effect in terms of wave nature of light ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | i 'm gon na go ahead and draw one electron in here , and this electron is bound to the metal because it 's attracted to the positive charges in the nucleus . if you shine a light on the metal , so the right kind of light with the right kind of frequency , you can actually knock some of those electrons loose , which cau... | so if you shine white light on a metal , it will knock electrons off for sure , because white light contains all wavelengths of visible light ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so one particle hits another particle . and , if you think about this in terms of classical physics , you could think about energy being conserved . so the energy of the photon , the energy that went in , so let me go ahead and write this here , so the energy of the photon , the energy that went in , what happened to t... | so my question is after this stage of we still supply ( sufficient ) energy photons , then from where will the electrons be emitted- from the next orbit or from the next layer of atoms ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so this is kind of like a collision between two particles , if we think about light as being a particle . so i 'm gon na draw in a particle of light which we call a photon , so this is massless , and the photon is going to hit this electron , and if the photon has enough energy , it can free the electron , right ? so w... | when a photon collides with an electron to crate a photo electron , is the energy in the photon being transferred to the electron in quanta so that the atom is in the excited state for a moment and the resulting light is spectra ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | some of that energy was needed to free the electron . so the electron was bound , and some of the energy freed the electron . i 'm gon na call that e naught , the energy that freed the electron , and then the rest of that energy must have gone into the kinetic energy of the electron , and so we can write here kinetic e... | or is the electron totally freed from its atom making a positive ion before it loses enough to kinetic energy to be brought into another orbital ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | i 'm gon na call that e naught , the energy that freed the electron , and then the rest of that energy must have gone into the kinetic energy of the electron , and so we can write here kinetic energy of the photoelectron that was produced . so , kinetic energy of the photoelectron . so let 's say you wanted to solve fo... | there is a usage of the term photoelectron , what does it actually mean ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so let 's think about this same problem , but let 's change the wavelength . so , what if your wavelength changed to 625 nanometers . so what would happen now ? | if i were to say i had to convert all my meters of wavelength to nanometers , how would i convert meters to nanometers ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so , what if your wavelength changed to 625 nanometers . so what would happen now ? well , to save time , i wo n't do the calculation , but all we would have to do is plug in 625 up here . | what kind of equation would be used ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so , it 's the minimum amount of energy that 's necessary to free the electron , and so obviously that 's going to be different depending on what metal you 're talking about . all right , let 's do a problem . now that we understand the general idea of the photoelectric effect , let 's look at what this problem asks us... | so the battery is connected to keep the plates at different potential , and still the circuit is incomplete unless photons are bombarded , right ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so , what if your wavelength changed to 625 nanometers . so what would happen now ? well , to save time , i wo n't do the calculation , but all we would have to do is plug in 625 up here . | also , does it ever happen that the cathode gets much positive charge and anode , negative charge , so that the current decreases in the given direction , or even stops ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | i 'm gon na go ahead and draw one electron in here , and this electron is bound to the metal because it 's attracted to the positive charges in the nucleus . if you shine a light on the metal , so the right kind of light with the right kind of frequency , you can actually knock some of those electrons loose , which cau... | if you have a really bright , really massive purple light compared to a small , dim purple light would the larger , brighter one cause more electrons to be liberated ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | 3.78 times 10 to the negative 19 , and if you did you units up here , you would get joules , and so let 's think about this number for a second , 3.78 times 10 to the negative 19 is the energy of the photon . and that energy of the photon is greater than the work function , which means that that 's a high-energy photon... | if the energy of the photon is lesser than the work function , why ca n't the electron absorb another photon to meet it 's energy requirements ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so let me go ahead and highlight that here . so this number is not as high as the work function . the work function was how much energy we needed to free that electron , and since this is lower than the work function that means we do not get a photoelectron . so , you have to have a high enough energy photon in order t... | for what energy level is work function valid ? |
- sometimes light seems to act as a wave , and sometimes light seems to act as a particle . and , an example of this , would be the photoelectric effect , as described by einstein . so let 's say you had a piece of metal , and we know the metal has electrons . i 'm gon na go ahead and draw one electron in here , and th... | so the energy of the photon , the energy that went in , so let me go ahead and write this here , so the energy of the photon , the energy that went in , what happened to that energy ? some of that energy was needed to free the electron . so the electron was bound , and some of the energy freed the electron . i 'm gon n... | if the photon has enough energy to knock out 2 electron , so will it knock electron with higher speed or will it knock out two electron ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | so all of our base is going to react , and it 's going to completely neutralize our acids . so when that happens , the ph should be just the ph of water . the ph of our solution should be the ph of water , which we know is equal to seven , so 7.00 i could have written this another way . | what is the ph level of soil from the sahara desert ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | okay , remember : the hydroxide ions reacted with the hydronium ions . we talked about the fact that h3o+ plus oh- gives us 2h2o . this time , we 're starting with .0101 moles of hydroxide ions . | why does dave insert the negative sign on the top of the o instead of at the end of oh ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | how many liters are we adding ? well , 20.20 mls , is the same thing as .02020 liters . so , we just need to solve for moles ; and you can probably do this in your head . | is there any way to calculate mathemetically that the ph becomes 7 when 20 ml of naoh neutralizes 20 ml of hcl ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | i 'm just going to use the calculator here to show you the answer . so : .5 x .02020 , gives us .0101 so that 's how many moles of hydroxide ions we have : .0101 moles of hydroxide ions . okay , remember : the hydroxide ions reacted with the hydronium ions . we talked about the fact that h3o+ plus oh- gives us 2h2o . | how do we know that all the hydrogen ions and hydroxide ions will react to form water ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | i could have written : hcl + naoh , right ? this would give us , this would give us h2o , 'cause h+ and oh- give us h2o , and then we would have nacl left , right ? we would have a solution of sodium chloride . | would n't the concentration of h+ be zero and therefore the ph = - log [ 0 ] ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | this would give us , this would give us h2o , 'cause h+ and oh- give us h2o , and then we would have nacl left , right ? we would have a solution of sodium chloride . so , an aqueous solution of sodium chloride . and , if our acid and our base completely neutralize each other , we 're just left with an aqueous solution... | how do we know that the sodium ions and the chloride anions do n't interact with water to affect ph ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | so we have : .01 moles of base , and that 's the same number of moles of acid that we have . so .01 moles of acids . so , this time , we have enough base to completely neutralize our acids . | what are some of the acids and bases that are mostly used in titration ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | so 20 mls of base added , the ph should be seven , so we can find this point on our titration curve . this is the equivalence point . so let me go ahead and draw a line down here . | is equivalence pt the same as end point ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | - we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | is the equivalence point for a strong acid and strong base always a ph of 7 ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | so we 're gon na get the same , we 're gon na lose the same amount of base , so we 're gon na lose .0100 moles of base , and so we 're left with a very small amount of base . we 're left with .0001 moles of base left over . so all of the acid has been completely neutralized and we have a small amount of base left over ... | how do you know that the h30 does n't remain , but that there is some base left over ? |
- we 've been looking at the titration curve for the titration of a strong acid , hcl , with a strong base , naoh . in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph ... | in the previous video , we 've already found the ph at two points on our titration curve , so we found the ph before we 'd added any of our base , we found the ph at this point , and we also found the ph after we added 10 mls of our base , we found the ph at this point . this is part a of our question , this is part b ... | are the significant figures correct in the calculation of part d ? |
let 's say there are two communities , an orange community and a purple community , and they 're separate from each other . and your job is to go into these communities , and find out what the most common influenza type is that 's circulating among the people . so you do this , and the first thing you discover is somet... | and those little mutations you can see with the yellow x 's . so what would we call this process ? we call it genetic drift . | would the swine flu ( h1n1 ) that happened at around 2008-09 be considered a pandemic ? |
let 's say there are two communities , an orange community and a purple community , and they 're separate from each other . and your job is to go into these communities , and find out what the most common influenza type is that 's circulating among the people . so you do this , and the first thing you discover is somet... | so let me actually write that over here , type a . and if you go over to the purple community , you actually find quite the opposite . you find that over here , people are also getting the flu , but it 's always because of type b . | where can we go to find out which strain is in the population ? |
let 's say there are two communities , an orange community and a purple community , and they 're separate from each other . and your job is to go into these communities , and find out what the most common influenza type is that 's circulating among the people . so you do this , and the first thing you discover is somet... | so what would we call this process ? we call it genetic drift . this is genetic drift . this is kind of the normal process that happens with many , many types of viruses and bacteria . | if a genetic shift is responsible for pandemics , then why was the swine flu ( h1n1 ) in 2009 a pandemic ? |
let 's say there are two communities , an orange community and a purple community , and they 're separate from each other . and your job is to go into these communities , and find out what the most common influenza type is that 's circulating among the people . so you do this , and the first thing you discover is somet... | let 's plot that a little bit higher . so now the virus , the type b virus , is looking slightly different from how it was when you first started the job . and you keep going with this process , and you know , there 's a mutation here , another one over here . | if it were impossible for two different strains of a virus to attack the same cell would it then be impossible for a virus to shift/drift ? |
let 's say there are two communities , an orange community and a purple community , and they 're separate from each other . and your job is to go into these communities , and find out what the most common influenza type is that 's circulating among the people . so you do this , and the first thing you discover is somet... | and if you go over to the purple community , you actually find quite the opposite . you find that over here , people are also getting the flu , but it 's always because of type b . so these people over here are having influenza type b . | or is it possible for a strain of type a flu to genetically change/mutate without mixing with another ? |
the illustration below shows the graph of y as a function of x . so that 's this graph right over here . and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . horizontal axis is x-axis . initially , as x increases -- s... | so as x increases initially , y decreases . the slope of the graph is equal to blank for all x between x equals 0 and x equals 3 . so x equals 0 and x equals 3 , what 's the slope ? well , every time we move 1 in the x direction , we move down in the y direction . | what 's the slope of sal 's function when x is 3 ? |
the illustration below shows the graph of y as a function of x . so that 's this graph right over here . and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . horizontal axis is x-axis . initially , as x increases -- s... | and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . | what is a `` constant function '' ? |
the illustration below shows the graph of y as a function of x . so that 's this graph right over here . and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . horizontal axis is x-axis . initially , as x increases -- s... | and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . | can different style of line graphs affect how you interpret the function ? |
the illustration below shows the graph of y as a function of x . so that 's this graph right over here . and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . horizontal axis is x-axis . initially , as x increases -- s... | the illustration below shows the graph of y as a function of x . so that 's this graph right over here . | what is the difference between linear functions and nonlinear functions ? |
the illustration below shows the graph of y as a function of x . so that 's this graph right over here . and then they start to ask us some questions . complete the sentences based on the graph of the function . so this axis is our y-axis , the vertical axis . horizontal axis is x-axis . initially , as x increases -- s... | so let 's make sure that we did n't make any careless mistakes here . let 's check our answer . we got it right . | parcc test practice http : //parcc.pearson.com/resources/practice_tests/grade_8/math/pc194840-001_g8mathoptb_pt.pdf what is the answer of graph problem in page 7 ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | it 's just an idea that this ability exists . and this works because he thought that all languages shared a universal grammar , or the same basic elements , so all languages would have nouns , verbs , things like that . so the language acquisition device enables the child to pick up on and understand those types of wor... | has anyone ever wondered why so many languages have similar words for moms ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | once you start using it , then it specializes to your language , and it becomes unable to detect other sounds and grammar from other languages . the second theory i want to tell you about is the learning theory . learning theorists think that children are n't born with anything . | also , is `` learning theory '' interchangeable with `` behaviorist theory '' ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | it 's just an idea that this ability exists . and this works because he thought that all languages shared a universal grammar , or the same basic elements , so all languages would have nouns , verbs , things like that . so the language acquisition device enables the child to pick up on and understand those types of wor... | so if a child ( who has the ability to recognize and pick-up languages ) lived for short periods , perhaps a year in 3 different countries , would he/she be able to speak all three languages ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | learning theorists think that children are n't born with anything . they only acquire language through reinforcement . so a learning theorist would say that a child learns to say `` mama '' because every time it makes it sound that approaches that -- so `` ma-something '' -- then mom starts smiling , hugging the child ... | does anyone know if it is easier to acquire language for adults who already know a certain number of languages ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | once you start using it , then it specializes to your language , and it becomes unable to detect other sounds and grammar from other languages . the second theory i want to tell you about is the learning theory . learning theorists think that children are n't born with anything . they only acquire language through rein... | is there a climax number , after which learning becomes easier ( analogous to the activation energy of a reaction or hiking to the top of the mountain ) ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | and the main guy associated with this theory is noam chomsky . and he thought the humans had something called a language acquisition device , or lad , in their brains that allowed them to learn language . and this is n't really supposed to be in a specific part of the brain . | my question will be is there any ways to produce the lad to help people learn languages ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | so this makes sense . but a strict learning theory does n't explain how children are able to produce words they 've never heard before or produce unique sentences . so we have another theory called the interactionist approach . | how can we disprove the idea within the learning theory that children will sometimes use words and/or phrases they 've never heard before ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | so this makes sense . but a strict learning theory does n't explain how children are able to produce words they 've never heard before or produce unique sentences . so we have another theory called the interactionist approach . | more specifically , how can we be sure that these new words were not picked up passively from sources that the parents/observers/researchers were n't aware of ? |
so this might surprise you , but one of the most amazing feats you 'll ever accomplish as a human being already happened , and that is language development . i mean , think about it . when you 're a baby , all these sounds are coming at you , and somehow , you 're able to figure out which sounds are words , where there... | and this works because he thought that all languages shared a universal grammar , or the same basic elements , so all languages would have nouns , verbs , things like that . so the language acquisition device enables the child to pick up on and understand those types of words and their organization within a sentence fo... | which theory of language development you find the best in developing of the language of a child ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | let 's keep going . type the missing numbers . it says count the ladybugs . | to count numbers in order , you basically just need to memorize the numbers and what order they come in right ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | do we have to count from zero ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | why do we count things ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | why is it important to count in order ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | that one looks good so i 'll click right over here and check my answer . how do we count the mice ? let 's see , one , two , this is n't the third mouse ! | why did you use mice to count ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | let 's keep going . type the missing numbers . it says count the ladybugs . | are there numbers after 100 ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | let 's keep going . type the missing numbers . it says count the ladybugs . | why do we have numbers ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | so , we saw one like this a few questions ago . one , two , three , four , five , six , seven , eight , nine , 10 . that one looks good . | what is -5 divided by 2 , 2.5 or -10 or 10 or -2.5 ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | how do we know that we 're supposed to count flowers like americans count ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | why do we count in base 10 ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . | how do you cownt the to 20 ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . | what is the key to counting in order ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | is there an easier way to count in order ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | what is the easiest way to count in order ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | type the missing numbers in the boxes . this is flower number one , flower number two . just gon na type that right in there . | i really want to know the history of the number zero ? |
how do we count the flowers ? so , this first choice , they go one , two , three , and then they do n't count this one and then they skip it and they go four , five , six , and then they skip this one again , and then they say seven , eight . that 's not how you count flowers ! you 'd say this is four , this is five ,... | it 's a lot of fun . count the flowers . type the missing numbers in the boxes . | so to count in order you have to count number by number not by spaces ? |
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