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When a ball is swinging in a circular path the is a centripetal force that is provided by the tension in the string but because it is a circular motion is there a torque also proudced in the circular motion.If so how is the torque produced.What are the components that helps in producing the torque?.What is the directio...
A satellite of mass $m$ is launched vertically upwards with an initial speed $u$ from the surface of the earth. After it reaches height $R$($R$= radius of the earth), it ejects a rocket of mass $\frac{m}{10}$ so that subsequently the satellite moves in a circular orbit. The kinetic energy of the rocket is ($G$ is the ...
I am trying to understand the origin of some transient signals the vast majority of which have shape $(t/\tau) \exp(-t/\tau)$ for $t\gt 0$. This is notoriously the impulse response of a critically damped harmonic oscillator. Does anybody know of any physical oscillator, in condensed matter or other domains, that tends ...
Two concentric infinitely thin conducting spherical shells of radii a and b,where a<b,are charged to potentials $V_a$ and $V_b$ respectively.The inner shell has a charge and the outer shell has a charge $2q$ .Find the electric field at R>b,R is the distance from the center.The figure is the fig A. The solution from b...
I have a question suppose having two fundamental particles collide which each other at the quantum scale , then what will the collision behave as Will the particle nature be dominant and make sure to conserve momentum as we see in macroscopic objects or Will the wave nature be dominant and the principle of superpositio...
I'd like to know how many irreducible representations of $SO(n)$ when it comes to rank 3 tensor. Here $n=3$. Among the rank 3 tensor components, there might be antisymmetric parts and symmetric parts and goes on. According to A.Zee's "Group Theory for Physicists in a nutshell" p.193, he mentions that we actually don't ...
The water is supposed to run infinitely in this container, since when water drops the pressure inside the container decreases, which makes the water in the pipe ascend. I know that perpetual motion violates the second law of thermodynamics, I tried to find the flaw in this machine, the only thing I could think about i...
I have the following setup, with a light source, 4 mirrors (two concave and two flat) and a 200mm lens, plus a divergent lens. In the parallel section of the flow, I have a translucent background (in cyan) and an object (in pink). My idea wast that as the light rays passing through both objects are parallel, I should ...
Why is ionic polarizability temperature independent? According to me, as we increase the temperature ions should start oscillating and an ionic polarizability should change. Can we see this through by using statistical mechanics or any kind of Mathematics that ionic polarizability should be temperature independent? As ...
I don't yet have the backround to answer this question : Does a visible white light enough dense could partially ionise a gas at macroscopic scale ? What I think knowing : Quantified photon energy can bring atom's electron to upper energy levels. High enough photon can ionise an atom and realise the electrons that abso...
I was trying to prove that kinetic energy is constant in a rigid body undergoing some arbitrary rotation around the origin in a 3D space, and I ended up proving a stronger statement: that the norm of the linear velocity of any one particle is constant. Is this true? UPDATE: I'm assuming the total linear momentum of the...
Thought experiment that occurred to me. Rather than a Big Bang, the Universe Cycles through a black hole at the centre. It looks like a big bang upon exit when it goes through an expansion phase, cycles around and then collapses back in the other side. So it is a continuous cycle. Would this explain the recent James We...
The electric field wave resulting from plasma oscillation can be broken down into the transverse and longitudinal components, whose frequencies are given by $$\omega_{transversal} = \sqrt{c^2k^2+\omega_p^2}$$ $$\omega_{longitudinal} = \omega_p$$ Here $\omega_p$ is the plasma frequency, $c$ is the speed of light, and $k...
in this exercise, I have hydrogen and it follows this thermodynamics cycle, 1-2 } --> polytropic process with exponent $n = 1.1$, 2-3 } --> adiabatic process, 3-1 } --> isobaric process, my question is only about polytropic process, $$p2 * v_2^n = p1 * v_1^n$$ I know that hydrogen in 2nd phase has pressure $p2 = 7 * 10...
The question is: A uniform rod of length L stands vertically upright on a smooth floor in a position of unstable equilibrium. The rod is then given a small displacement at the top and tips over. What is the rod's angular velocity when it makes an angle of 30 degrees with the floor, assuming the rod does not slip? I do ...
We take a rigid body as shown in the figure and apply two parallel forces (which do not have the same lines of action) at the ends of the body. Let us assume that $P>Q$. Now as we all know There will be a transnational motion along with a rotational motion. For the translational motion,we take the resultant as $P+Q$ a...
I just had a few confusions with battery voltage and overall how it worked. I tried searching online but the answers were so general they didn't explain "why". To start when we are using up a battery, essentially the chemical reaction in the electrolyte pushes electrons to higher potential (electrons to the negative te...
My understanding of the 2nd law of thermodynamics is, partly that, basically a 'cold' object cannot heat a 'hot' object. Case in point: if I take a 1500W hot plate and put it on full, the plate will get to a certain temperature, say 130°C. If I now place a glass dome on top of the plate, the plate will now heat the air...
My understanding of the second stage of a thermonuclear bomb is as follows: X-rays from the first stage compress the "tamper", thereby igniting the fission sparkplug, and that the resulting combined pressure (from the tamper outside, and the sparplug inside), compress the fusion fuel so that temperature reaches the lev...
This question rather seems elementary but has been bugging me for a while! How does even unbalanced forces create? The main driving force of this question is Newton's third law Let's take Free Fall: It happens because the earth attracts the body and hence the body has an unbalanced force acting upon it, now we have the...
I am working with a classical action in curved space-time that looks something like: \begin{equation} S = \int d^4x \frac{1}{16G\pi}\sqrt{-g} \left[R - \frac{K_\Phi}{\Phi^2} \partial_\mu \Phi \partial^\mu \Phi - \frac{K_\phi}{\Phi} \partial_\mu \phi \partial^\mu \phi + U(\Phi, \phi) \right], %\label{eq:action} \end{equ...
We want to calculate the interference pattern of two Gaussian beams with different focal points. We use the basic formula for a Gaussian beam $$ \vec{E}(x, y, z) = E_0 \vec{x}\frac{\omega_0}{\omega_z}\exp{\left(\frac{-r^2}{\omega(z)^2}\right) \exp{(-i\left(kz + k\frac{r^2}{2 R(z)} - \psi(z)\right)}} $$ We note that the...
Are terms tangential acceleration and normal acceleration only used for instantaneous velocity?
If we shoot a bullet from a rifle,do the energy we put on the rifle=rifle's backward kinetic energy+bullet's kinetic energy and sound energy(the noise from the shooting)+heat energy(if the rifle's metal is hot)same?=the whole conversion cycle of energy from it?(to be precise)
In the paper A bound on chaos, by Maldacena, Shenker and Stanford. They mention two assumptions to prove that the Lyapunov exponent in the OTOCs must be smaller than or equal to $2\pi T$. One of the assumptions is that there is a "large hierarchy between scrambling and dissipation". By this "hierarchy", do they mean th...
I have stumbled upon a proof from one of my friends that for a prism, the angle of minimum deviation is that in which incident angle is equal to emergent angle. i.e. $$\delta = i + e - A$$ where $A$ = Refracting angle of prism The proof goes like this: Since we have to minimize $i + e$, we can do so by using the AM-GM ...
I feel like the amplitude should decrease but I can't prove it. Any help would be appreciated.
What is the flux linkage or inductance or induced voltage per unit length of the hollow tube conductor surrounding the inner conductor in some section due to the current in the inner thin conductor? Corner effects, etc. are not taken into account.
Suppose we have an integral $$Z(\lambda) = \frac{1}{\sqrt{2\pi}}\int^{+\infty}_{-\infty} dx e^{-\frac{x^2}{2!}-\frac{\lambda}{4!}x^4}.$$ To my knowledge this is a possible integral which can arise in QFT. My question is on the convergence of this integral. For what $\lambda$ will this integral be convergent? I'm not lo...
I was studying Particle Physics then suddenly I came up with a question that why only Baryons are made up of three quarks, at first I thought to to conserve Baryon number which is $\frac{1}{3}$ for Quarks and so the total comes to be '1' ($\frac{1}{3}$+$\frac{1}{3}$ + $\frac{1}{3}$ = 1 ), but I am not satisfied with my...
Assume that I have the usual $U(1)$ gauge field $A_{\mu}$. We know that observable quantities are invariant under global transformations of the form $A_{\mu}\rightarrow A_{\mu}'=A_{\mu}+\partial_{\mu}\lambda$. One particular example of such an observable quantity is the electric and the magnetic field, right? So, $F_{\...
When charges flow in a simple circuit, then if 5C of charge is transported by the battery(of 5V) in some time, then the work done/energy lost by the battery is 25Joules. During this time, the electrons collide with the lattice(atoms) of the conductor and heat it up. This is what confuses me- How is exactly all this ene...
I am searching for a paper about the solar wind. In particular, I need a model (or real data) that describes plasma density as a function of time and location in space. Do such data exist in the literature?
In the explanation of tides on earth there seem to be different versions for the second water bulge on the side opposite to the moon, while everybody seems to agree that the bulge on the moon side is due to the gravitational pull of the moon, I found the following explanations for the second bulge: A) Centrifugal force...
I am confused about the expression $$F_{\mu \nu} \to F_{\mu \nu}' = U F_{\mu \nu}U^{\dagger}.$$ I found related Phys.SE posts How would one show that a nonabelian field strength tensor transforms in a certain way under a local gauge transformation? and Gauge-covariance of the Yang-Mills field strength $F_{\mu\nu}^a$, ...
Given that J/C=V, where J is energy in joules, C is charge in coulombs, and V is voltage in volts, it makes mathematical sense that as C increases, V would decrease. But from a practical standpoint, this is illogical. A charge of a greater magnitude should take more energy to move. Voltage is the energy required to mov...
I have been thinking about the following thought experiment regarding a material whose specific heat decreases with external electric field (see this article for an example of such a material). Say that we put such a material outside under no electric field and let it equilibriate to the ambient temperature of 300 K. W...
We know from Kepler's first law that the orbit of a planet is elliptical. We also know that the time period swept by the planet is less as it comes to its closest distance from the star, the "perihelion" compared to that when it is at its farthest distance from the star, at the "aphelion". To make it clear, since v = d...
I am seeking to synthesize the sound of a gunshot. I am aware the firing of a gun is made up of many parts, but I would like to handle the explosion of smokeless powder in the bore first. Here's what I've learned so far in my own research on the topic (or at least, what I think I know): Smokeless powder deflagrates, r...
For Schwarzschild solution: $\mathrm{d} s^2=\left(1-\frac{2m}{r}\right)dt^2 - \left(1-\frac{2m}{r}\right)^{-1}\mathrm{d} r^2-r^2(\mathrm{d}\theta^2+sin^2\theta \mathrm{d}\phi^2),$ Introduce tortoise coordinate: $ v=t+r_*, \quad w=t-r_*,$ where $r_*=r+2mln(r-2m)$, the metric becomes $\mathrm{d} s^{2}=\left (1-\frac{2m}{...
I have a physics background, but not much aerospace. I'm attempting to understand the operating principal of a vertical axis wind turbine. I've found a paper with a free body diagram, which I mostly understand, but I'm stuck on one concept. Paper: https://www.researchgate.net/publication/274340439_Modal_analysis_of_a_s...
I was going through this question: Why does the Fermi-level decrease with temperature increase? As the temperature increases though the semiconductor becomes intrinsic where number of holes equals number of electrons, the number of carriers will still increase. In other words, the resistivity decreases as temperature i...
Does perturbative non-renormalizability indicate the unviability of the theory if we were to define it non-perturbatively (for example through a lattice discretization of the continuum QFT or other techniques) or is this exclusively an inconvenience in applying the much-cherished perturbation theory?
Can I get an explanation of what magnetic pressure is exactly in the context of MHD? From my simple understand, it's essentially just the force that magnetic field lines exert back onto a plasma that has some incident velocity (energy) perpendicular to the field lines. An example would be the solar wind interacting wit...
The first image is the bubble dynamics in nucleate boiling, in a) you can see that the bubble is detaching by minimizing contact line with surface until zero, while in b) the bubble is enlongate and forming a neck where the detachment happen. It clearly that the hydrophobicity of 2 surfaces affect the detachment mechan...
Consider the nonrelativistic quantum mechanics of one particle in one dimension ("NRQMOPOD") with the time-independent Schrodinger equation $$ \left( -\frac{\hbar^2}{2m} \frac{d^2}{dx^2} + V(x) \right) \psi(x) = E\ \psi(x), $$ where we assume that the potential energy function $V(x)$ is continuous and at large distance...
[If this is not the right SE for this question, apologies.] Automobile gasoline engine controls use oxygen sensors in the exhaust stream. The Wikipedia article on Oxygen Sensors notes that (some) such sensors require a reference sample - that the sensor actually measures the difference between the concentration in the...
I'm having trouble interpreting Newton's third law on a block classic problem. Considering a constant horizontal force acting on two blocks of masses $m_A$ and $m_B$ must give an acceleration of $a = \frac{F}{m_A + m_B}$. I want to find the acceleration above using Newton's third law, for which I did the following: (1)...
When studying gauge theory, I often see the statement that gauge invariance does not allow the Lagrangian of the theory to contain terms that are quadratic in the gauge field. For example, to quote Folland's book on quantum field theory (page 295): ...gauge invariance forbids the inclusion of terms that are quadratic ...
Here is my analysis from the inertial frame on it: At the bottom most point, $g$ acting downwards $v^2/r$ (centripetal acceleration) acting upwards So the net acceleration, a = $(v^2/r)-g$ right? What makes me ask this is because recently I was doing an analysis on the oscillatory motion of a pendulum and I was tryin...
I was looking online at how inserting a material inside a solenoid can enhance/reduce the magnitude of a magnetic field in all space depending on what material is inserted. This makes sense from a diagram that I was looking at: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html#c4 And it also makes sense ...
Suppose that there are three points in space. The distance between any two of the closest points is less than or equal to the cosmological horizon. Such is the case that information cannot be transmitted between points outside of the cosmological horizon (e.g., between the blue and green polka dots). However, if there ...
Considering a silicon (but also any isolator), that has band gap $E_g = 1.12 eV$ at $T = 300K$, do I understand correctly, that by shining on just a piece of silicon with at least infrared radiation ($1.1\mu m$), then, at least its surface will be conductive? If yes, does it mean, that just a piece of silicon laying on...
I'm self-studying QM and have a basic question on quantum harmonic oscillator. The Hamilton is certainly quantized under this model, that is $E_n=(n+1/2)\hbar \omega$, for $n=0,1,2,...$. But is linear momentum quantized under this model? The textbook by Griffith told me momentum operator has continuous spectra, so it s...
Considering an atom at ground state 0. To be excited to state 1, it needs to get, as understand $E_e = E_0 - E_1$. What if, atom at $E_0$ interacts with photon, which energy is higher than $E_0 - E_1$, but lower than $E_0 - E_2$? Will it be elastic or inelastic scattering? Will the photon just be remitted with differen...
I am asking this question because it occurred to me that wave propagation has some generally under considered properties regardless and independent of the medium in which the waves are propagating. For instance, we observe ocean waves and perceive that the waves themselves are moving but as we know in reality, they do ...
Suppose we have an air column closed at one end and open at one end. We know, the general formula for the wavelength of the stationary waves of different harmonics will be equal to $4L/n$. My confusion is, in this equation there is no speed of wave involved. Why not though? How does this make sense? If wave speed incre...
The answer to this question says This is a static potential and thus has to be continuous. Otherwise energy conservation would be violated. I don't find it satisfying. How to define a "static potential"? I'm not familiar with such terminology. Why is vaccum level a static potential and why is a static potential alway...
As we understand, electrons can't be unmoving therefore electrons always moving or flowing. If the voltage is zero, where do the electrons move? Do they move everywhere?
Good afternoon all, I am looking at the question Running backwards on a carousel from 2020 and the accepted answer given below it. Why is there no centripetal force on the person in either reference frame? In the inertial frame, I would guess that it is because the person is at rest with respect to this frame and is th...
I'm just wondering if anyone else has ever pondered the question: what medium do electromagnetic waves travel through? and like me remained unsatisfied with the explanation that they are 'non-mechanical' waves and thus don't require a medium. Is there someone who can explain the difference between us observing they don...
So My main question is about Friction in Newtons third law Consider a box on the floor , A force $F$ is applied to it on the east direction , the floor then applies an equal and opposite force on the west direction on the box which greatly reduces its Net Force But My thinking is said Box should not move at all , becau...
Why can't one-way speed of light be measured using a timer start that is electronically connected at midpoint? I'm sure I'm missing something, but why can't an experiment be built with two timers that are connected electronically by a start switch half-way between light start and stop points? Would not using using a di...
For ex if a ball of mass m undergoes an oscillatory motion in a bowl of mass M placed on planet where all surfaces are smooth( no friction ), while considering the part of the motion of the ball from bottom most point to one of the extremes of the bowl, say the velocity at bottom most point is V and if at that instant ...
As I understand, from Wigner's classification of particles it follows that for every $m > 0$ and $s \in \left\{ 0, \frac{1}{2}, 1, \frac{3}{2}, \dots \right\}$ there is an irreducible, unitary representation $\pi_{m,\frac{1}{2}}$ of $\operatorname{SL}_{\mathbb{C}}(2)$ (the double cover of the connected component of the...
I am playing around with some plots right now, and have some interesting looking results, but I am unsure how to read them. First, I am using the following real space BdG Hamiltonian: $$ \hat{H}= -\sum_{\boldsymbol{r},\boldsymbol{r}',\sigma} t(\boldsymbol{r}-\boldsymbol{r}') \hat{c}^\dagger_{ \boldsymbol{r}\sigm...
We know time period of pendulum is $$T=2\pi\sqrt{\frac{L}{g}}$$ While reading through a question on S.E which was based on a ball oscillating on a bowl , I was curious and I thought of its time period as the time period of a pendulum bob which is under oscillation by gravity , So I naively thought the time period would...
If frequency of light in a photoelectric effect experiment increases (assuming its already enough to ionize the electrons), apparently the current will remain unaffected. This is contradictory to the Phet demo for photoelectric effect. What gives? Is the Phet demo wrong? https://phet.colorado.edu/sims/cheerpj/photoelec...
I have a thought experiment that has been puzzling me regarding a spin-$\frac12$ particle placed in an extremely powerful magnetic field (say 1000 T for the sake of hyperbole) directed along the positive $z$-axis. Now, we take a measurement of spin along the $x$-axis, which forces the particle to collapse into one of t...
I will ask my question about Lagrange multipliers by using an example in string theory, as this question was inspired by my string theory course, but it applies to every theory with Lagrange multipliers I guess. In string theory, we are taught that one can obtain the Nambu-Goto action from the string sigma-model action...
I am solving a set of stochastic differential equations and I need some feedback about if what I am doing is correct. Given a vector $\boldsymbol{C}(t)=(C_+(t),C_-(t))^T$, we can writte a set of differential equations as $\frac{d}{dt}\boldsymbol{C}(t)=\boldsymbol{A}(t)\boldsymbol{C}(t)$, where $\boldsymbol{A}(t)$ is a ...
$\newcommand{\d}{\mathrm{d}}$We have a square wave source with period $T$ and voltage $V_0$ connected to a circuit which is has a resistor of resistance $R$ in series with an uncharged capacitor of capacitance $C$. I want to determine the long term steady state of the voltage across the capacitor's plates, I was told i...
I know that photon emission in plasma results in a change of energy level of the electrons from excited or ionised atoms. However, I saw that photons of 13eV were created in a helium plasma, but this energy doesn't correpsond to any of the energy transitions of helium. The plasma frequency was about $3e9$ MHz, which do...
I am currently reading "Quantum Computing: A Gentle Introduction" by Rieffel & Polak. In describing the difference between classical and quantum state spaces, they say: In classical physics, the possible states of a system of n objects, whose individual states can be described by a vector in a two-dimensional vector s...
I have a CAD model that I’m trying to optimize for hydrodynamic-ness, programmatically (preferably with Python). Is there a way I can find or estimate the drag force of the model, without having the drag coefficient of the shape? I need to be able to compare to models and determine which is more hydrodynamic. Thanks.
There are still major efforts to observe Majorana Fermions in condensed matter systems (most recently this paper), with the ultimate goal of using topologically protected Majorana qubits for quantum computing. This is Microsoft's main approach right now. Existing observations of Majorana modes have been pretty controve...
A while back, I came across a claim that was something like this: Poincaré said that no two fundamental force laws could have the same mathematical form such as $1/R^2$; that no two fundamental force laws can share the same fundamental constants. So, that somehow everything is fundamentally electromagnetic in nature. I...
Give an isolated photo tube and with a small emmiter and very large collector (no electron escapes) As one increase the frequency, one is also increasing the kinetic energy of photo-electrons and that translates to a net charge flowing at a faster rate, which will infact increase the current. So increase in frequency c...
The way we calculate angular momentum of any object, say rod, about it's centre is just L = r × mv or simply Iw. This is the case when the axis is passing through the centre of the rod while remaining static i.e., not rotating with the object. Now, suppose we stand at the centre of the rod and then try to calculate the...
I fixed inclined wedge. I throw a ball from height say h meters above its point of impact of the inclined plane. And lets say the inclined plane is smooth (no friction) but has a coefficient of restitution say, e. Now when the ball rebounds of the incline, on what basis can we say that the horizonal velocity of compone...
When two forces act on a point mass,we add the forces like we usually do and i have no problem understanding that. When the same forces are applied on a rigid body,how are we able to add them the same way? In the first diagram,what we have is a couple. And almost everywhere it is said that it can only produce rotatio...
We know that a current carrying wire produce a magnetic field around it.But my question is why those magnetic lines are circles. How it can be like that?
Let us consider the case where there are two entangled electrons, one with A and the other with B; whose spin Z can be measured. Let the state of the system be $$\frac{1}{\sqrt{2}}\left ( |00\rangle + |11\rangle \right) $$ Let X and Y correspond to the events in spacetime where A and B measure the spin of their own par...
The rate of change of the radius of an object subject to a central potential U(r) is given by $$\dot{r}=\pm \sqrt{E-V_{eff}(r)}$$ where $V_{eff}$ is the effective potential. An unbound orbit is obtained when $E>V_{eff}$ for $r\in [r_{min},\infty]$. When the object closing in from infinity reaches $r_{min}$, we have $\...
So when I was reading about Newton's laws, and my textbook (Sears and Zemansky's University Physics) gave the classic examples of when we might be tempted to create an additional "centrifugal force" and later went on to say that since an object going around in a circle is actually accelerating, we do not, rather can no...
I have many confusions regarding standing waves. Firstly, will the frequency of standing waves be the same as the emitted waves that make up the standing wave? What about wavelength? Will wavelength of standing waves be different from the emitted waves making up the standing waves? Also, if temperature changes, we know...
With the increase of fluid viscosity, mass diffusion of a fluid decreases. Then how the diffusion term in Navier-Stokes equation has a dominant effect at high viscosity? Also how the mass convection affects the convective term of Navier-Stokes equation?
I am asking myself, how constraining a potential changes the energy eigenvalues. With the WKB-Approximation-Method one can derive that the dependence of the eigenenergies regarding a potential $V(x) \propto x^{\lambda}$ is: $$ E_n \propto sgn(\lambda)\cdot n^{\frac{1}{1/\lambda + 1/2}}, $$ see e.g. Dependence of energy...
Consider a conducting sphere of radius $R$ which has a small hemispherical bulge on the surface of radius $r$. The sphere is given a charge $Q$. The expression for the charge accumulated on the hemispherical bulge is approximately given by: $\frac{Qr^2}{2R^2}$ (Charge on the bulge accumulates in a negligibly small reg...
Look, we may consider this by a given illustration with a plane mirror, although I still look ahead of the same doubt in case of spherical as well as parabolic mirrors. Ray Diagram Correction: The unit was meant to be m instead of cm in 5 cm....however it is of no change. Now, as we are taught in high school, a plan...
I was reading Valter Moretti's book on Spectral Theory and Quantum Mechanics, and saw 2 definitions of a quantum state: 1.Let $\mathcal{H}$ be a Hilbert space. A positive, trace-class linear map $\rho:\mathcal{H} \to \mathcal{H}$ with unit trace is called a $\mathbf{state}$. 2.Let $\mathfrak{A}$ be the $C^{*}$-algebra ...
I have a three-dimensional system of N particles. The particle positions are described by three coordinates $x$, $y$, $z$. For this system, I can calculate the Radial Distribution Function (RDF) in 3D. But my question is: Is it in principle allowed to calculate the RDF of this system in one of the planes say, $x$-$y$, ...
I'm trying to work out an acceleration curve for a vehicle for a simulation, but despite a bunch of research there are a couple of things I still don't understand. First we have $P = mav$. Assuming that I know or can set the power for this vehicle, I can rearrange that for acceleration, $a = \frac{P}{mv}$. That doesn't...
I have an object which is of spherical shape, with equation: $$x_0^2+y_0^2+z_0^2=R^2 \ ,$$ in a frame of reference $S'$ moving with the object. $S'$ is moving with a velocity $v$ with respect to a stationary observer, with a frame of reference $S$ and coordinates ($x,y,z$). If I want to write the equation specifying th...
In the 'Photoelectric Effect' setup, if I replace the light source with a 'Proton Gun', What would be the result? I tried to search around and could shortlist a few possibilities, but am not sure if we can single out on 1 specific result. They combine to form Hydrogen and emit visible light. Ammeter would read zero. ...
$$ T = I \alpha $$ $$ L = I \omega $$ $$ T d(\theta) = d(\tfrac12 I \omega^2) $$ If I differentiate the second and third one with respect to time… all three equations give a different expression for torque in terms of the $dI/dt$ term. Clearly only one of these can be correct. So which is it and why? An example of a ax...
I am trying to figure out an expression for the position of a charged particle travelling downwards in the z-direction at some constant velocity through the static magnetic field generated by a bar magnet. Following this post I have the expression for the magnetic field $\mathbf{B}=\frac{\mathrm{B_r} V}{4 \pi \sqrt{x^2...
To ionize atom at some state, as understand, it must receive the energy of that state, so for a hydrogen atom, being in the ground state it $13.6\ eV$. In the second state, the ionization energy is lower - $3.4\ eV$ and so on. The important thing, is that the difference between the ground state and the second state is ...
(Most Probably a duplicate, but I couldn't find it) I have heard about 'Skin Effect' in AC, but currently Im only and only concerned about DC. When current flows in simple DC circuit, does the current flow slower at the central region of the wire cross-section? (Like the picture shows) In other words is the current den...
(Edited question, 07/04/23) For someone standing on a carousel, there is a frictional force at their feet of magnitude $|F| \leq \mu N = \mu mg$ that is directed towards the centre of the carousel, where $N$ is the normal force, $m$ is the person's mass, and $\mu$ is the coefficient of friction. If $F \geq mr \omega^2...