Question stringlengths 2 3k | label int64 0 1 |
|---|---|
6.92. The wave function of an electron of a hydrogen atom in the ground state takes the form $\psi(r)=A \mathrm{e}^{-r / r_{1}}$, where $A$ is a certain constant, $r_{1}$ is the first Bohr radius. Find:
(a) the most probable distance between the electron and the nucleus;
(b) the mean value of modulus of the Coulomb f... | 1 |
A mammal's brain is how many times larger than a reptiles relative to body size? | 0 |
4. The most suitable reagent for the conversion of $\mathrm{R}-\mathrm{CH}_{2}-\mathrm{OH} \rightarrow \mathrm{R}-\mathrm{CHO}$ is:
(a) $\mathrm{KMnO}_{4}$
(b) $\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}$
(c) $\mathrm{CrO}_{3}$
(d) PCC (Pyridinium chlorochromate) | 1 |
What is the difference between CV and resume? | 0 |
Which is the most used programming language which will not have an end? | 0 |
How many people watched the Apollo 11 landing? | 0 |
8. A particle, which is constrained to move along $x$-axis, is subjected to a force in the same direction which varies with the distance $x$ of the particle from the origin as $F(x)$ $=-k x+a x^{3}$. Here, $k$ and $a$ are positive constants. For $x \geq 0$, the functional form of the potential energy $U(x)$ of the part... | 1 |
2. If the area (in sq units) of the region $\left\{(x, y): y^{2} \leq 4 x, x+y \leq 1, \quad x \geq 0, y \geq 0\right\}$ is $a \sqrt{2}+b$, then $a-b$ is equal to
(a) $\frac{10}{3}$
(b) 6
(c) $\frac{8}{3}$
(d) $-\frac{2}{3}$ | 1 |
5. Compound (A), $\mathrm{C}_{8} \mathrm{H}_{9} \mathrm{Br}$, gives a yellow precipitate when warmed with alcoholic $\mathrm{AgNO}_{3}$. Oxidation of (A) gives an acid (B), $\mathrm{C}_{8} \mathrm{H}_{6} \mathrm{O}_{4} \cdot$ (B) easily forms anhydride on heating. Identify the compound (A).
(a)
 4 atm
(b) 2 atm
(c) 8 atm
(d) 1 atm | 1 |
If mainland China becomes democratized, would Taiwanese agree to reunion? | 0 |
58. An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options :
[Main April 12, 2019 (II)]
Assertion (A) : Vinyl halides do not undergo nucleophilic substitution easily.
Reason (R) : Even though the intermediate carbocation is stabilized by loosely held p-electrons, the clea... | 1 |
13. A plane mirror is moving with velocity $4 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}$. A point object in front of the mirror moves with a velocity $3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}$. Here, $\hat{\mathbf{k}}$ is along the normal to the plane mirror and facing towards the object. T... | 1 |
Example 8.6 Weighing the Earth : You are given the following data: $g=9.81 \mathrm{~ms}^{-2}$, $R_{E}=6.37 \times 10^{6} \mathrm{~m}$, the distance to the moon $R=3.84 \times 10^{8} \mathrm{~m}$ and the time period of the moon's revolution is 27.3 days. Obtain the mass of the Earth $M_{E}$ in two different ways. | 1 |
12. But 2-ene on reaction with alkaline $\mathrm{KMnO}_{4}$ at elevated temperature followed by acidification will give :
[Main April 12, 2019 (I)]
(a) 
(b) one molecule of $\mathrm{CH}_{3} \mathrm{CHO}$ and one molecu... | 1 |
51 A 200-turn solenoid having a length of 25 cm and a diameter of 10 cm carries a current of 0.29 A . Calculate the magnitude of the magnetic field $\vec{B}$ inside the solenoid. | 1 |
Why do people drive slow in the fast lane? | 0 |
What are linear and non-linear loads? | 0 |
I'm a 14 years old boy and I had sex with a 12 years old girl, with her consent. Is there anything wrong? | 0 |
13. Which is not an example of resonance?
(I) $\mathrm{CH}_{2}=\mathrm{CH}-\dot{\mathrm{C}} \mathrm{H}_{2} \longleftrightarrow \dot{\mathrm{C}} \mathrm{H}_{2}-\mathrm{CH}=\mathrm{CH}_{2}$
(II)
 0.5
(b) 0.4
(c) 0.2
(a) I $>$ II $>$ III
(b) III $>$ I $>$ II
(c) III $>$ II $>$ I
(d) I $>$ III $>$ II | 1 |
49. In an electrolysis experiment, current, was passed for 5 hours through two cells connected in series. The first cell contains a solution of gold and the second contains copper sulphate solution. $9.85 \mathrm{~g}$ of gold was deposited in the first cell. If the oxidation number of gold is +3 , find the amount of co... | 1 |
Is it possible to track a phone number location? | 0 |
26. Let $P, Q, R$ and $S$ be the point on the plane with position vectors $-2 \hat{i}-\hat{j}, 4 \hat{i}, 3 \hat{i}+3 \hat{j}$ and $-3 \hat{j}+2 \hat{j}$, respectively. The quadrilateral $P Q R S$ must be a
a. parallelogram, which is neither a rhombus nor a rectangle
b. square
c. rectangle, but not a square
d. rhom... | 1 |
1.15 Though the statement quoted above may be disputed, most physicists do have a feeling that the great laws of physics are at once simple and beautiful. Some of the notable physicists, besides Dirac, who have articulated this feeling, are : Einstein, Bohr, Heisenberg, Chandrasekhar and Feynman. You are urged to make ... | 1 |
What is the foundation of the United States federal government? | 0 |
What did Harold Innis call papyrus? | 0 |
7. Let $\overrightarrow{\mathbf{a}}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \overrightarrow{\mathbf{b}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$ and $\overrightarrow{\mathbf{c}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}$ be three vectors. A vector $\overrightarrow{\mathbf{v}}$ in the pla... | 1 |
Illustration 3.74 Find the equation of the sphere which has centre at the origin and touches the line $2(x+1)=2-y=z+3$. | 1 |
What are the good classic books do you recommend a 15 year old who loves reading? | 0 |
59 SSM As Fig. 39-8 suggests, the probability density for the region $x>L$ in the finite potential well of Fig. 39-7 drops off exponentially according to $\psi^{2}(x)=C e^{-2 k x}$, where $C$ is a constant. (a) Show that the wave function $\psi(x)$ that may be found from this equation is a solution of Schrödinger's equ... | 1 |
What are your favorite funny animal videos or gifs? | 0 |
How do I break my social media addiction? | 0 |
What happened when the Maratha Army lost the third battle of Panipat? | 0 |
19. In how many points the graph of $f(x)=x^{3}+2 x^{2}+3 x+4$ meets $x$-axis. | 1 |
18. Chlorination of toluene in the presence of light and heat followed by treatment with aqueous $\mathrm{NaOH}$ gives
(a) $o$-Cresol
(b) $p$-Cresol
(c) 2, 4-Dihydroxytoluene
(d) Benzoic acid | 1 |
(iii) Which of the following orbitals are possible?
$1 p, 2 s, 2 p$ and $3 f$ | 1 |
Example 5.5 Find the equation of the normal to $y=x^{3}-3 x$, which is parallel to $2 x+18 y=9$. | 1 |
20. Calculate the pH of a buffer solution prepared by dissolving 30 g of $\mathrm{Na}_2 \mathrm{CO}_3$ in 500 mL of an aqueous solution containing 150 mL of 1 M HCl .
$$
K_{\mathrm{a}}\left(\mathrm{H}_2 \mathrm{CO}_3\right)=4.2 \times 10^{-7} ; K_{\mathrm{a}}\left(\mathrm{HCO}_3^{-}\right)=4.8 \times 10^{-11}
$$ | 1 |
How difficult is it to get into IIT? | 0 |
In what year did The wall Street crash occur? | 0 |
Has Facebook passed 600 million members? | 0 |
1. Three light waves combine at a certain point where their electric field components are $y_{1}=a \sin \omega t, y_{2}=a \sin \left(\omega t+60^{\circ}\right), y_{3}=a \sin \left(\omega t-120^{\circ}\right)$
Their resultant at that point is :
(a) $a$
(b) $2 a$
(c) $3 a$
(d) none of these | 1 |
How can I get a Legal Permanent Resident status (green card) for the USA? | 0 |
13. A student is performing the experiment of resonance column. The diameter of the column tube is $4 \mathrm{~cm}$. The frequency of the tuning fork is $512 \mathrm{~Hz}$. The air temperature is $38^{\circ} \mathrm{C}$ in which the speed of sound is $336 \mathrm{~m} / \mathrm{s}$. The zero of the meter scale coincides... | 1 |
What are your views on demonetization of 500 and 1000 rupee notes by the Modi Government? | 0 |
- 15 The coefficient of static friction between Teflon and scrambled eggs is about 0.04 . What is the smallest angle from the horizontal that will cause the eggs to slide across the bottom of a Teflon-coated skillet? | 1 |
12. A siren placed at a railway platform is emitting sound of frequency $5 \mathrm{kHz}$. A passenger sitting in a moving train $A$ records a frequency of $5.5 \mathrm{kHz}$, while the train approaches the siren. During his return journey in a different $\operatorname{train} B$ he records a frequency of $6.0 \mathrm{kH... | 1 |
6. Let $f(x)+f(y)=f\left(x \sqrt{1-y^{2}}+y \sqrt{1-x^{2}}\right)(f(x)$ is not identically zero). Then
a. $f\left(4 x^{3}-3 x\right)+3 f(x)=0$
b. $f\left(4 x^{3}-3 x\right)=3 f(x)$
c. $f\left(2 x \sqrt{1-x^{2}}\right)+2 f(x)=0$
d $f\left(2 x \sqrt{1-x^{2}}\right)=2 f(x)$ | 1 |
4. The increasing order of basicity of the following compounds is:
(a) (A) $<$ (B) $<$ (C) $<$ (D)
(b) (B) $<$ (A) $<$ (D) $<$ (C)
(c) (D) $<$ (A) $<$ (B) $<$ (C)
(d) (B) $<$ (A) $<$ ... | 1 |
In what ways dictatorship better than democracy? | 0 |
What year was the first radio station in Hyderabad formed? | 0 |
How/where can I make gay friends? | 0 |
26. The type of hybrid orbitals used by the chlorine atom in $\mathrm{ClO}_{2}^{-}$ is
(a) $s p^{3}$
(b) $s p^{2}$
(c) $s p$
(d) none of these | 1 |
9. The IUPAC name of the complex $\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}\left(\mathrm{NH}_{2} \mathrm{CH}_{3}\right)\right] \mathrm{Cl}$ is:
Main Jan. 07, 2020 (I)
(a) Diamminechlorido (methanamine) platinum (II)chloride
(b) Diammine (methanamine) chlorido platinum (II)chloride
(c) Diamminech... | 1 |
How do I download a video from Hot Star? | 0 |
43. The reddish brown coloured gas formed when nitric oxide is oxidised by air is
(a) $\mathrm{N}_{2} \mathrm{O}_{5}$
(b) $\mathrm{N}_{2} \mathrm{O}_{4}$
(c) $\mathrm{NO}_{2}$
(d) $\mathrm{N}_{2} \mathrm{O}_{3}$ | 1 |
How are we able to see in color? | 0 |
25. If the roots of the equation $x^{2}+a x+b=0$ are $c$ and $d$, then roots of the equation $x^{2}+(2 c+a) x+c^{2}+a c+b=0$ are
a. $c$
b. $d-c$
c. $2 c$
d. 0 | 1 |
30. The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of $2^{\text {nd }}$ hour, $4^{\text {th }}$ hour and $n^{\text {th }}$ hour? | 1 |
3. Unit vectors $\vec{a}$ and $\vec{b}$ are perpendicular, and unit vector $\vec{c}$ is inclined at an angle $\theta$ to both $\vec{a}$ and $\vec{b}$. If $\vec{c}=\alpha \vec{a}+\beta \vec{b}+\gamma(\vec{a} \times \vec{b})$, then
a. $a=\beta$
b. $\gamma^{2}=1-2 \alpha^{2}$
c. $\gamma^{2}=-\cos 2 \theta$
d. $\beta^{2}=\... | 1 |
62. Statement-1 : In strongly acidic solutions, aniline becomes more reactive towards electrophilic reagents.
Statement-2 : The amino group being completely protonated in strongly acidic solution, the lone pair of electrons on the nitrogen is
no longer available for resonance
(a) Statement-1 is True, Statement-2 is... | 1 |
6. A point moves along a circle having a radius $20 \mathrm{~cm}$ with a constant tangential acceleration $5 \mathrm{~cm} / \mathrm{s}^{2}$. How much time is needed after motion begins for the normal acceleration of the point to be equal to tangential acceleration?
(a) $1 \mathrm{~s}$
(b) $2 \mathrm{~s}$
(c) $3 \mathrm... | 1 |
How should I study | 0 |
What individuals and events in history are a source of pride for Singapore? | 0 |
13. X-ray from a Coolidge tube is incident on a thin aluminium foil. The intensity of the X-ray transmitted by the foil is found to be $I_{0}$. The heating current is increased so as to increase the temperature of the filament. The intensity of the X-ray transmitted by the foil will be
(a) zero
(b) $<I_{0}$
(c) $I_{0}$... | 1 |
2. If a tangent to the circle $x^{2}+y^{2}=1$ intersects the coordinate axes at distinct points $P$ and $Q$, then the locus of the mid-point of $P Q$ is
(a) $x^{2}+y^{2}-2 x^{2} y^{2}=0$
(b) $x^{2}+y^{2}-2 x y=0$
(c) $x^{2}+y^{2}-4 x^{2} y^{2}=0$
(d) $x^{2}+y^{2}-16 x^{2} y^{2}=0$ | 1 |
36. If the sum of the distance of a point from two perpendicular lines in a plane is 1 , then its locus is
(a) square
(b) circle
(c) straight line
(d) two intersecting lines
$(1992,2 \mathrm{M})$ | 1 |
2. A massless spring $(k=800 \mathrm{~N} / \mathrm{m})$, attached with a mass $(500 \mathrm{~g})$ is completely immersed in $1 \mathrm{~kg}$ of water. The spring is stretched by $2 \mathrm{~cm}$ and released, so that it starts vibrating. What would be the order of magnitude of the change in the temperature of water whe... | 1 |
What are some mind-blowing phones accessories that exist that most people don't know about? | 0 |
What did the shramana movements challenge? | 0 |
What are the best websites to learn SAP HANA? | 0 |
30. Area of the region bounded by the curve $y=e^{x}$ and lines $x=0$ and $y=e$ is
(a) $e-1$
(b) $\int_{\mathbb{L}}^{e} \ln (e+1-y) d y$
(c) $e-\int_{0}^{1} e^{x} d x$
(d) $\int_{1}^{e} \ln y d y$ | 1 |
Who wrote the Decretum? | 0 |
8. The odds against a certain event is $5: 2$ and the odds in favour of another event is 6:5. If both the events are independent, then find the probability that at least one of the events will happen. | 1 |
15.6 Is a homopolymer or copolymer? | 1 |
18. In a reaction, $\Delta H$ and $\Delta S$ both are more than zero. In which of the following cases would the reaction be spontaneous?
(a) $\Delta H>T \Delta S$
(b) $T \Delta S>\Delta H$
(c) $\Delta H=T \Delta S$
(d) none of these | 1 |
Ex. 26. Calculate the emf of the cell at $25^{\circ} \mathrm{C}$.
| $(\mathrm{Pt}) \mathrm{H}_{2}$ | $\left\lvert\,$HCl <br> $(1 \mathrm{~atm})$\right. | $(p H 2 \cdot 95)$ | | HCl <br> $(p H 1 \cdot 47)$ |
| :----------------------------- | :------------------------------------------------: | :----------------: |... | 1 |
What major city is home to most regional UN offices in India? | 0 |
How does the process in which Japanese grow watermelon differ from the process Egyptians use? | 0 |
What type of colors would one generally find in Golconda painting? | 0 |
23. The first emission line of Balmer series in $\mathrm{He}^{+}$-spectrum has the wave no. in $\mathrm{cm}^{-1}$ equal to ( $R$-Rydberg constant)
(a) $\frac{3 R}{4}$
(b) $\frac{20 R}{36}$
(c) $\frac{5 R}{36}$
(d) $\frac{R}{6}$ | 1 |
Should I forgive her? | 0 |
18. The Integrating Factor of the differential equation $x \frac{d y}{d x}-y=2 x^{2}$ is
(A) $e^{-x}$
(B) $e^{-y}$
(C) $\frac{1}{x}$
(D) $x$ | 1 |
18. Acetylene is treated with excess sodium in liquid ammonia. The product is reacted with excess methyl iodide. The final product is \$ \qquad \$
[1983 - 1 Mark] | 1 |
Could you use a motor with a series of gears to increase the speed dramatically to create power to generate power for itself? | 0 |
In which location did Mahatma Gandhi spend the final 144 days of his life? | 0 |
3. One of the slits of the apparatus is covered by a thin glass sheet of refractive index 1.53. Find the smallest thickness of the sheet to interchange the position of minima and maxima.
(a) $2.57 \mathrm{~mm}$
(b) $1.57 \mathrm{~mm}$
(c) $3.27 \mathrm{~mm}$
(d) $4.18 \mathrm{~mm}$ | 1 |
Can dogs go in heat after being spayed? Why or why not? | 0 |
Example 3.48 . Test the continuity and differentiability of the function $f(x)=\left|\left(x+\frac{1}{2}\right)[x]\right|$ by drawing the graph of the function when $-2 \leq x \leq 2$, where [.] represents greatest integer function. | 1 |
How can you look at someone's private Instagram account without following them? | 0 |
What areas of knowledge were subject to much debate during the Renaissance? | 0 |
(iv) 1,4-Dibromobut-2-ene | 1 |
(c) an optical pyrometer (for measuring high temperatures) calibrated for an ideal black body radiation gives too low a value for the temperature of a red hot iron piece in the open, but gives a correct value for the temperature when the same piece is in the furnace | 1 |
2. Let $S$ be the set of all triangles in the $x y$-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in $S$ has area 50 sq. units, then the number of elements in the set $S$ is
(2019 Main, 9 Jan II)
(a) 36
(b) 32
(c) 18
(d) 9 | 1 |
Are all African Americans resentful of whites? | 0 |
What other parts of the society's needs did architecture fill? | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.