Question stringlengths 2 3k | label int64 0 1 |
|---|---|
People says that I lack imagination when I clearly not, what should do? How should I response to them? | 0 |
- Example 13 Find the intervals in which the function $f$ given by
$$
f(x)=\sin x+\cos x, 0 \leq x \leq 2 \pi
$$
is increasing or decreasing. | 1 |
18. Pressure versus temperature ( $p-T$ ) graph of $n$ moles of an ideal gas is shown in figure. Plot the corresponding:
(a) density versus volume ( $\rho-V$ ) graph,
(b) pressure versus volume $(p-V)$ graph and
(c) density versus pressure ( $\rho-p$ ) graph.
^{2}$
[Main Online April 9, 2014]
This equation reduces to the perfect gas equation, $P=\frac{n R T}{V}$ when,
(a) temperature is sufficient high and pressure is low.
(b) temperature is sufficient low and pressure is h... | 1 |
What are some of the examples/projects/ideas to try related to high performance networking? | 0 |
How do we actually see from our eyes? | 0 |
3. The value of the expression ${ }^{47} C_{4}+\sum_{j=1}^{5}{ }^{52-j} C_{3}$ is equal to
a. ${ }^{47} \mathrm{C}_{5}$
b. ${ }^{: 2} C_{5}$
c. ${ }^{52} C_{4}$
d. none of these | 1 |
2 To eight significant figures, what is speed parameter $\beta$ if the Lorentz factor $\gamma$ is (a) 1.0100000 , (b) 10.000000 , (c) 100.00000 , and (d) 1000.0000 ? | 1 |
28. The major product(s) of the following reaction is(are)


(a) $P$
(b) $Q$
(c) $R$
(... | 1 |
28. Number of Resonating structures of the given compound are :

(A) 0
(B) 2
(C) 4
(D) 8 | 1 |
How do I develop a photographic memory? | 0 |
22. Which one of the following quantities is/are positive?
a. $\cos \left(\tan ^{-1}(\tan 4)\right)$
b $\sin \left(\cot ^{-1}(\cot 4)\right)$
c. $\tan \left(\cos ^{-1}(\cos 5)\right)$
d. $\cot \left(\sin ^{-1}(\sin 4)\right)$ | 1 |
How do they put bugs such as a big worm or a mantis inside small bottles of absinthe/tequila? | 0 |
28. A solution containing one mole per litre of each $\mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2} ; \mathrm{AgNO}_{3}$; $\mathrm{Hg}_{2}\left(\mathrm{NO}_{3}\right)_{2}$; is being electrolysed by using inert electrodes. The values of standard electrode potentials in volts (reduction potentials) are :
[1984 - 1 Mark]
... | 1 |
What are good movies on Netflix? | 0 |
59. The coordinates of two consecutive vertices $A$ and $B$ of a regular hexagon $A B C D E F$ are $(1,0)$ and $(2,0)$, respectively. The equation of the diagonal $C E$ is
a. $\sqrt{3} x+y=4$
b. $x+\sqrt{3} y+4=0$
c. $x+\sqrt{3} y=4$
d. none of these | 1 |
Ex. 39. What is the maximum number of electrons in an atom in which the last electron, filled, has the following quantum numbers?
(a) $n=3, l=1$
(b) $n=3, l=2$
(c) $n=3, l=2$ and $m=-1$
(d) $n=3, l=1$ and $m=-1$
(e) $n=3, l=2, m=0$ and $s=-\frac{1}{2}$ | 1 |
What are some effective ways to stop social anxiety? | 0 |
20. In the circuit shown below, the key is pressed at time $t=0$. Which of the following statement(s) is (are) true?
(2016 Adv.)

(a) The voltmeter display $-5 \mathrm{~V}$ as soon as the... | 1 |
1. Compare the bond strength of the indicated bonds in the given compound:

(A) $1>2>3$
(B) $3>1>2$
(C) $2>1>3$
(D) $2>3>1$ | 1 |
Along with Dante and Boccaccio, who was a notable Italian author of the 14th century? | 0 |
41. If $l^{r}(x)$ means $\log \log \log \ldots x$, the log being repeated $r$ times, then $\int\left[x l(x) l^{2}(x) l^{3}(x) \ldots l^{r}(x)\right]^{-1} d x$ is equal to
a. $l^{r+1}(x)+C$
h $\frac{l^{r+1}(x)}{r+1}+C$
c. $l^{\prime}(x)+C$
$\mathrm{d}$ None of these | 1 |
Example 9 Consider the situation shown in figure. The two slits $S_{1}$ and $S_{2}$ placed symmetrically around the centre line are illuminated by a monochromatic light of wavelength $\lambda$. The separation between the slits is $d$. The light transmitted by the slits falls on a screen $M_{1}$ placed at a distance $D$... | 1 |
1. Assertion : Centre of mass of a rigid body always lies inside the body.
Reason : Centre of mass and centre of gravity coincide if gravity is uniform. | 1 |
7. The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is $5 \mathrm{~s}$. In another $10 \mathrm{~s}$, it will decrease to $\alpha$ times its original magnitude, where $\alpha$ equals
(a) 0.7
(b) 0.81
(c) 0.729
(d) 0.6 | 1 |
70. The angle between lines joining the origin to the points of intersection of the line $\sqrt{3} x+y=2$ and the curve $y^{2}-x^{2}=$ 4 is
a. $\tan ^{-1}\left(\frac{2}{\sqrt{3}}\right)$
b. $\frac{\pi}{6}$
c. $\tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)$
d. $\frac{\pi}{2}$ | 1 |
Ex. 34. In a particular experiment, 272 g of phosphorus, $\mathrm{P}_{4}$, reacted with excess of oxygen to form $\mathrm{P}_{4} \mathrm{O}_{10}$ in 89.5\% yield. In the second step of the reaction, a $97.8 \%$ yield of $\mathrm{H}_{3} \mathrm{PO}_{4}$ was obtained. What mass of $\mathrm{H}_{3} \mathrm{PO}_{4}$ was obt... | 1 |
9. A wire is bent in the form of a $V$ shape and placed in a horizontal plane. There exists a uniform magnetic field $B$ perpendicular to the plane of the wire. A uniform conducting rod starts sliding over the $V$ shaped wire with a constant speed $v$ as shown in the figure. If the wire has no resistance, the current i... | 1 |
5. A solid having density of $9 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}$ forms face centred cubic crystals of edge length $200 \sqrt{2} \mathrm{pm}$. What is the molar mass of the solid?
[Main Jan. 11, 2019 (I)]
[Avogadro constant $\square 6 \times 10^{23} \mathrm{~mol}^{-1}, \square \square 3$ ]
(a) $0.0432 \ma... | 1 |
6. The spring block system lies on a smooth horizontal surface. The free end of the spring is being pulled towards right with constant speed $v_{0}=2 \mathrm{~m} / \mathrm{s}$. At $t=0 \mathrm{sec}$, the spring of constant $k=100 \mathrm{~N} / \mathrm{cm}$ is unstretched and the block has a speed $1 \mathrm{~m} / \math... | 1 |
What's the difference between a CPU and a GPU? | 0 |
| 5 |  | | | | | | 1 |
14. If the tangents to the ellipse at $M$ and $N$ meet at $R$ and the normal to the parabola at $M$ meets the $X$-axis at $Q$ then the ratio of area of $\triangle M Q R$ to area of the quadrilateral $M F_{1} N F_{2}$ is
(a) $3: 4$
(b) $4: 5$
(c) $5: 8$
(d) $2: 3$ | 1 |
14. A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, $y(x, t)=(0.01 \mathrm{~m}) \sin \left[\left(62.8 \mathrm{~m}^{-1}\right) x\right] \cos \left[\left(628 \mathrm{~s}^{-1}\right) t\right]$. Assuming $\pi=3.14$, the correct statement(s) is (are)
(a) The n... | 1 |
53. $p$-Chloroaniline and anilinium hydrochloride can be distinguished by
(a) Sandmeyer reaction
(b) $\mathrm{NaHCO}_{3}$
(c) $\mathrm{AgNO}_{3}$
(d) Carbylamine test | 1 |
Ex. 12. The ionisation energy of $\mathrm{He}^{+}$is $19.6 \times 10^{-18} \mathrm{~J}$ per atom. Calculate the energy of the first stationary state of $\mathrm{Li}^{2+}$. | 1 |
Which is the better instrument to learn, piano or violin? Why? | 0 |
Why do some canine teeth grow so small? | 0 |
Why doesn't God provide scientific proof of His existence? | 0 |
What do I do to stop my hairfall? | 0 |
36. If $\lim _{x \rightarrow a}\left(\frac{f(x)}{g(x)}\right)$ exists, then, $K$
a. both $\lim _{x \rightarrow a} f(x)$ and $\lim _{x \rightarrow a} g(x)$ must exist
h. $\lim _{x \rightarrow a} f(x)$ need not exist but $\lim _{x \rightarrow a} g(x)$ exists
c. neither $\lim _{x \rightarrow a} f(x)$ nor $\lim _{x \righ... | 1 |
83. The values of $x$ satisfying the equation $\sin \left(\tan ^{-1} x\right)=\cos \left(\cot ^{-1}(x+1)\right)$ is
a. $\frac{1}{2}$
$\mathbf{b}-\frac{1}{2}$
c. $\sqrt{2}-1$
d. no finite value | 1 |
2. At time $t=0$, a car moving along a straight line has a velocity of $16 \mathrm{~ms}^{-1}$. It slows down with an acceleration of $-0.5 t \mathrm{~ms}^{-2}$, where $t$ is in second. Mark the correct statement (s).
(a) The direction of velocity changes at $t=8 \mathrm{~s}$
(b) The distance travelled in $4 \mathrm{~... | 1 |
Why do paradoxes exist? | 0 |
59. How can the conversion of (i) to (ii) be brought about?
(a) $\mathrm{KBr}$
(b) $\mathrm{KBr}+\mathrm{CH}_{3} \mathrm{ONa}$
(c) $\mathrm{KBr}+\mathrm{KOH}$
(d) $\mathrm{Br}_{2}+\mathrm{KOH}$ | 1 |
31 SSM Calculate the height of the Coulomb barrier for the head-on collision of two deuterons, with effective radius 2.1 fm . | 1 |
What should the massage/health spa industry do to attract more male customers? | 0 |
20. The average velocity of gas molecules is $400 \mathrm{~m} / \mathrm{sec}$. Calculate its rms velocity at the same temperature. | 1 |
What three religions share similar beginnings? | 0 |
1. A crystal is made up of metal ions ' $\mathrm{M}_{1}$ ' and ' $\mathrm{M}_{2}$ ' and oxide ions. Oxide ions. form a $c c p$ lattice structure. The cation ' $\mathrm{M}_{1}$ ' occpies $50 \%$ of octahedral voids and the cation ' $\mathrm{M}_{2}$ ' occupies $12.5 \%$ of tetrahedral voids of oxide lattice. The oxidatio... | 1 |
Who are the likely Democrat politicians who might oppose Trump in 2020? | 0 |
How can I have a successful long distance relationship? | 0 |
Is the anus as big as the vagina? | 0 |
What are the best ways to improve my memory? | 0 |
Literature, regardless of how the definition is applied, can be interpreted as what? | 0 |
What classic area of study is now mostly reserved for academic consideration? | 0 |
Is it possible to burn 1000 calories each day? If yes, how? | 0 |
What do entry-level investment bankers actually do? | 0 |
\section*{Problem 1.7}
Calculate the molarity of NaOH in the solution prepared by dissolving its 4 g in enough water to form 250 mL of the solution. | 1 |
What Michelangelo work do historians consider to be a precedent for comics? | 0 |
What is the best programming language one must learn to stay updated today? | 0 |
How do I deal with my embarrassment? | 0 |
How much does Netflix pay for a miniseries? | 0 |
23. Number of structural isomers of $\mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}$ are :
(A) 2
(B) 3
(C) 5
(D) 6 | 1 |
What is the value of [math]2x^2 - 7x^2 -2x + 1[/math] if [math]x=\frac{1}{2 + \sqrt{3}}[/math]? | 0 |
What are the best ad agencies in Seattle? | 0 |
What is the difference between obesity and being overweight? | 0 |
Is it OK to use my friend’s credit card to buy domestic flight tickets when he is not going to travel with me? | 0 |
What rules did a German derivatives dealer say could be quite legally circumvented through swaps? | 0 |
13. Liquid oxygen at $50 \mathrm{~K}$ is heated to $300 \mathrm{~K}$ at constant pressure of $1 \mathrm{~atm}$. The rate of heating is constant. Which of the following graphs represent the variation of temperature with time?
(a)
 $\mathrm{Fe}^{3+}(\mathrm{aq})$ and $\mathrm{I}^{-}(\mathrm{aq})$
(ii) $\mathrm{Ag}^{+}$(aq) and $\mathrm{Cu}(\mathrm{s})$
(iii) $\mathrm{Fe}^{3+}$ (aq) and $\mathrm{Br}^{-}$(aq)
(iv) $\ma... | 1 |
What happens to upper management and regular employees if a company is merged with a competitor? | 0 |
Why do so many people ask google-able questions on Quora? | 0 |
7. The reverse-biased current of a particular $p$-n junction diode increases when it is exposed to light of wavelength less than or equal to $600 \mathrm{~nm}$. Assume that the increase in carrier concentration takes place due to the creation of new hole-electron pairs by the light. Find the band gap. | 1 |
Why is it that Hindi and Urdu have so many similarities? What is the origin of both languages? | 0 |
WhatsApp cache: does deleting it permanently delete the WhatsApp images? | 0 |
6. The magnetic field $B$ and the magnetic intensity $H$ in a material are found to be $1^{.} 6 \mathrm{~T}$ and $1000 \mathrm{Am}^{-1}$
respectively. Calculate the relative permeability $\mu_{r}$ and the susceptibility $\chi$ of the material. | 1 |
Example 1.5 Silver forms ccp lattice and X-ray studies of its crystals show that the edge length of its unit cell is 408.6 pm . Calculate the density of silver (Atomic mass $=107.9 \mathrm{u})$. | 1 |
7. A musician produce the sound of second harmonics from open end flute of $50 \mathrm{~cm}$. The other person moves toward the musician with speed $10 \mathrm{~km} / \mathrm{h}$ from the second end of room. If the speed of sound $330 \mathrm{~m} / \mathrm{s}$, the frequency heard by running person will be
(a) $666 \... | 1 |
83. An ester $A\left(\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{2}\right)$, on treatment with excess methyl magnesium chloride followed by acidification, gives an alcohol $B$ as the sole organic product. Alcohol $B$, on oxidation with $\mathrm{NaOCl}$ followed by acidification, gives acetic acid. Deduce the structures o... | 1 |
Example.1.52 Let $x=(0.15)^{20}$. Find the characteristic and mantissa of the logarithm of $x$ to the base 10 . Assume $\log _{10} 2=0.301$ and $\log _{3} 10=0.477$. | 1 |
How do you know when someone really loves you? | 0 |
What's the difference between an astronaut and a cosmonaut? | 0 |
9. An experiment has 10 equally likely outcomes. Let $A$ and $B$ be two non-empty events of the experiment. If $A$ consists of 4 outcomes, then the number of outcomes that $B$ must have, so that $A$ and $B$ are independent, is
(a) 2,4 or 8
(b) 3,6 or 9
(c) 4 or 8
(d) 5 or 10
(2008, 3M) | 1 |
What is difference between supercharging and turbocharging? | 0 |
31. Calculate the average of kinetic energy, in Joules of the molecules in $8.0 \mathrm{~g}$ of methane at $27^{\circ} \mathrm{C}$. | 1 |
What is the ideal length of answers in English XII board exams? | 0 |
How do i fix a broken sleep schedule? | 0 |
Problem 6.3
We have $q=-\mathrm{w}=p_{e x}(10-2)=0(8)=0$ No work is done; no heat is absorbed. | 1 |
What should you do if you love someone who doesn't love you? | 0 |
What is TCS BPS? Is it a good option to join? Is it anywhere related to bpo job? | 0 |
1. The value of numerical aperture of the objective lens of a microscope is 1.25 . If light of wavelength $5000 \AA$ is used, the minimum separation between two points, to be seen as distinct, will be
(a) $0.24 \mu \mathrm{m}$
(b) $0.38 \mu \mathrm{m}$
(c) $0.12 \mu \mathrm{m}$
(d) $0.48 \mu \mathrm{m}$ | 1 |
Where did Soviets under the rule of the Bolshevik first assume power during the Russian Civil War? | 0 |
38. $\mathrm{N}_2 \mathrm{O}_4$ is $25 \%$ dissociated at $37^{\circ} \mathrm{C}$ and 1 atm pressure. Calculate (i) $K_p$, and (ii) the percentage dissociation at 0.1 atm and $37^{\circ} \mathrm{C}$.
[Hint: See Example 14]
(IIT 1988) (0.267, 63.27\%) | 1 |
Who posited the existence of God? | 0 |
I want to read the Dark Tower series but there are a lot of novels that tie in to the main 7 books. What is the best reading order for a beginner? | 0 |
38. When the temperature is increased, surface tension of water
(a) increases
(b) decreases
(c) remains constant
(d) shows irregular behaviour | 1 |
1. Which of the following represent incorrectly named IUPAC compound?
(A) $\mathrm{CH}_{3} \mathrm{COC}_{6} \mathrm{H}_{5} \longrightarrow$ 1-Phenylethanone
(B) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{COCH}\left(\mathrm{CH}_{3}\right)_{2} \longrightarrow$ 3-Hexanone
(C) $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{CHC... | 1 |
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