Question stringlengths 2 3k | label int64 0 1 |
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How do people fry ice cream? | 0 |
Ex. 3. It was found that 380 mL of a gas at $27^{\circ} \mathrm{C}$ and 800 mmHg weighed 0.455 g . Find the molecular weight of the gas. | 1 |
What is the most effective way to promote mobile app for Android and iOS? | 0 |
What type of business should I start? | 0 |
What is the refugee camp in Dakar, Senegal like? | 0 |
84 A solid conducting sphere of radius 3.0 cm has a charge of 30 nC distributed uniformly over its surface. Let $A$ be a point 1.0 cm from the center of the sphere, $S$ be a point on the surface of the sphere, and $B$ be a point 5.0 cm from the center of the sphere. What are the electric potential differences (a) $V_{S... | 1 |
What are the benefits of socializing? | 0 |
3. Find the range of $f(x)=\sqrt{x-1}+\sqrt{5-x}$. | 1 |
Example 8.60 If $\alpha$ is a characteristic root of a nonsingular matrix, then prove that $|A / \alpha|$ is a characteristic root of adj $A$. | 1 |
- Example 31.26
Fig. 31.71
$O_{1} P$ is the principal axis and $O$ is the point object. Given,
$O_{1} P=30 \mathrm{~cm}, f=20 \mathrm{~cm}$ and $O P=2 \mathrm{~mm}$. Find the image dista... | 1 |
5. A smooth cone is rotated with an angular velocity $\omega$ as shown. A block $A$ is placed at height $h$. Block has no motion relative to cone. Choose the correct options, when $\omega$ is increased.
$, where $a$ and $\omega$ are positive constants. Find:
(a) the distance $s$ traversed by the point during the time $\tau$;
(b) the angle between the point's velocity and acceleration vectors. | 1 |
76. A vector of magnitude 10 along the normal to the curve $3 x^{2}+8 x y+2 y^{2}-3=0$ at its point $P(1,0)$ can be
a. $6 \hat{i}+8 \hat{j}$
b. $-8 \hat{i}+3 \hat{j}$
c. $6 \hat{i}-8 \hat{j}$
d. $8 \hat{i}+6 \hat{j}$ | 1 |
What is the difference between working hard, and working smart? How can you apply them together to get into an Ivy medical school? | 0 |
How do you buy tickets from someone over Facebook? It's for a concert. | 0 |
In what year was it known as CBS Records? | 0 |
What is babajob.com business model? | 0 |
In what year did Bulgaria become a vassal of the Ottomans? | 0 |
Is it dangerous to be possessive in love? | 0 |
73. If bisector of the angle $A P B$, where $P A$ and $P B$ are the tangents to the parabola $y^{2}=4 a x$, is equally inclined to the coordinate axes, then the point $P$ lies on
a. tangent at vertex of the parabola
b. directrix of the parabola
c. circle with centre at the origin and radius $a$
d. the line of latus... | 1 |
How do I convert WVM files to MP4? | 0 |
3. The most appropriate reagent for conversion of $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{CN}$ into $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}$ is :
(a) $\mathrm{NaBH}_{4}$
(b) $\mathrm{CaH}_{2}$
(c) $\mathrm{LiAlH}_{4}$
(d) $\mathrm{Na}(\mathrm{CN}) \mathrm{BH}_{3}$ | 1 |
Is it possible to get unbanned from Quora? | 0 |
Why do psychopaths feel the need to manipulate and hurt other people? | 0 |
20. $\lim _{x \rightarrow \infty} \frac{\left(\int_{0}^{x} e^{x^{2}} d x\right)^{2}}{\int_{0}^{x} e^{2 x^{2}} d x}=$ | 1 |
Example 1.2 How much positive and negative charge is there in a cup of water? | 1 |
10. If the work done in stretching a wire by $1 \mathrm{~mm}$ is $2 \mathrm{~J}$, then work necessary for stretching another wire of same material but with double radius of cross-section and half of the length by $1 \mathrm{~mm}$ is
(a) $8 \mathrm{~J}$
(b) $16 \mathrm{~J}$
(c) 4 J
(d) $32 \mathrm{~J}$ | 1 |
- 29 In Fig. 21-33, particles 2 and 4 , of charge $-e$, are fixed in place on a $y$ axis, at $y_{2}=-10.0 \mathrm{~cm}$
Figure 21-33 Problem 29.
and $y_{4}=5.00 \mathrm{~cm}$. Particle... | 1 |
7. Complete the nuclear reactions.
(a) ${ }_{3}^{6} \mathrm{Li}+? \longrightarrow{ }_{4}^{7} \mathrm{Be}+{ }_{0}^{1} n$
(b) ${ }_{17}^{35} \mathrm{Cl}+? \longrightarrow{ }_{16}^{32} \mathrm{~S}+{ }_{2}^{4} \mathrm{He}$
(c) ${ }_{4}^{9} \mathrm{Be}+{ }_{2}^{4} \mathrm{He} \longrightarrow 3\left({ }_{2}^{4} \mathrm{He}\r... | 1 |
How can I become good at English? | 0 |
10. The value of $a_{99}$ is equal to
a. $2^{98}$
b. $2^{99}$
c. $-2^{99}$
d. none of these | 1 |
How do I make my wife orgasm? | 0 |
7. If $I=\int \sec ^{2} x \operatorname{cosec}^{4} x d x=K \cot ^{3} x+L \tan x+M \cot x+\mathrm{c}$, then
(a) $K=-1 / 4$
(b) $L=2$
(c) $M=-2$
(d) None of these | 1 |
Example 4.7 If $y=\sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}}, x \in\left(0, \frac{\pi}{2}\right) \cup\left(\frac{\pi}{2}, \pi\right)$, then find $\frac{d y}{d x}$. | 1 |
10. Let $\vec{a}, \vec{b}$ and $\vec{c}$ be non-coplanar unit vectors, equally inclined to one another at an angle $\theta$. If $\vec{a} \times \vec{b}+\vec{b} \times \vec{c}=p \vec{a}+q \vec{b}+r \vec{c}$, find scalars $p, q$ and $r$ in terms of $\theta$. | 1 |
The biggest difference between brains of mammals and other vertebrates is what? | 0 |
What are two types of drama that incorporate music or dance? | 0 |
13. Write the dimensions of the following in terms of mass, time, length and charge
(a) Magnetic flux
(b) Rigidity modulus. | 1 |
66. The equation $\cos ^{8} x+b \cos ^{4} x+1=0$ will have a solution if $h$ belongs to
a. $(-\infty, 2]$
b. $[2, \infty$ )
c. $(-\infty,-2]$
d none of these | 1 |
3. Speed of electromagnetic waves is the same (a) for all wavelengths (b) in all media (c) for all intensities (d) for all frequencies. | 1 |
What has Modern medicine increased the average life expectancy by? | 0 |
How can I get a job in NHAI? | 0 |
26. If $|\mathbf{A} \times \mathbf{B}|=\sqrt{3} \mathbf{A} \cdot \mathbf{B}$, then the value of $|\mathbf{A}+\mathbf{B}|$ is
(a) $\left(A^{2}+B^{2}+A B\right)^{1 / 2}$
(b) $A^{2}+B^{2}+\frac{A B}{\sqrt{3}}^{1 / 2}$
(c) $(A+B)$
(d) $\left(A^{2}+B^{2}+\sqrt{3} A B\right)^{1 / 2}$ | 1 |
What was the primary military arm of Anglo-Saxon armies? | 0 |
16. If $T$ is the period of the function $f(x)=[8 x+7]+\mid \tan 2 \pi x+$ cot $2 \pi x \mid-8 x$ (where $[\cdot]$ denotes the greatest integer function), then the value of $1 / T$ is | 1 |
3. Find the correct options.
(a) Ice point in Fahrenheit scale is $32^{\circ} \mathrm{F}$
(b) Ice point in Fahrenheit scale is $98.8^{\circ} \mathrm{F}$
(c) Steam point in Fahrenheit scale is $212^{\circ} \mathrm{F}$
(d) Steam point in Fahrenheit scale is $252^{\circ} \mathrm{F}$ | 1 |
11. If A, B are symmetric matrices of same order, then $\mathrm{AB}-\mathrm{BA}$ is a
(A) Skew symmetric matrix
(B) Symmetric matrix
(C) Zero matrix
(D) Identity matrix | 1 |
What are some good facts about Stalin? | 0 |
Where exactly in Subhash Nagar can I buy weed? Is it safe for a girl? | 0 |
3. If $x, y$, and $z$ are in A.P., $a x, b y$, and $c z$ in G.P. and $a, b, c$ in H.P., then prove that $\frac{x}{z}+\frac{z}{x}=\frac{a}{c}+\frac{c}{a}$. | 1 |
3. A particle of mass $m$ is projected from the ground with an initial speed $u$ at an angle $\alpha$. Find the magnitude of its angular momentum at the highest point of its trajectory about the point of projection. | 1 |
60. Let $a \in(0,1]$ satisfies the equation $a^{2008}-2 a+1=0$ and $S=1$ $+a+a^{2}+\ldots+a^{2007}$. Sum of all possible value(s) of $S$, is
a. 2010
b. 2009
c. 2008
d. 2 | 1 |
What do you think of abolishing 500 and 1000 Rupee Currency notes by the Indian Government? | 0 |
3.18 Predict the products of electrolysis in each of the following:
(i) An aqueous solution of $\mathrm{AgNO}_{3}$ with silver electrodes.
(ii) An aqueous solution of $\mathrm{AgNO}_{3}$ with platinum electrodes.
(iii) A dilute solution of $\mathrm{H}_{2} \mathrm{SO}_{4}$ with platinum electrodes.
(iv) An aqueous s... | 1 |
42. A $2.00 \mathrm{~mL}$ volume container contains $50 \mathrm{mg}$ of gas at a pressure of $100 \mathrm{kPa}$. The mass of each gas particle is $8.0 \times 10^{-26} \mathrm{~kg}$. Find the average translational kinetic energy of each particle. | 1 |
30. 1.00 g of a mixture consisting of equal number of moles of carbonates of the two univalent metals, required 44.4 mL of 0.5 N HCl for complete reaction. If the atomic weight of one of the metals is 7 , find the atomic weight of the other metal. What will be the total amount of sulphate formed on gravimetric conversi... | 1 |
19. Show that all chords of the curve $3 x^{2}-y^{2}-2 x+4 y=0$, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point. | 1 |
14. $\frac{1}{\left(x^{2}+1\right)\left(x^{2}+4\right)}$ | 1 |
50. Among the species given below, the total number of diamagnetic species is
$\mathrm{H}$ atom, $\mathrm{NO}_{2}$ monomer, $\mathrm{O}_{2}^{-}$(superoxide), dimeric sulphur in vapour phase, $\mathrm{Mn}_{3} \mathrm{O}_{4},\left(\mathrm{NH}_{4}\right)_{2}\left[\mathrm{FeCl}_{4}\right],\left(\mathrm{NH}_{4}\right)_{2}\... | 1 |
17. From a circular disc of radius $R$ and mass $9 M$, a small disc of radius $R / 3$ is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through $O$ is
 $\frac{A_{1}}{A_{2}}$
(b) $\left(\frac{A_{1}}{A_{2}}\right)^{1 / 3}$
(c) $\left(\frac{A_{2}}{A_{1}}\right)^{1 / 3}$
(d) 1 | 1 |
Before the Big Bang was it in complete darkness? | 0 |
49. The solution of $y e^{-x / y} d x-\left(x e^{(-x / y)}+y^{3}\right) d y=0$ is
a. $e^{-x y}+y^{2}=C$
b. $x e^{-x y}+y=C$
c. $2 e^{-x y}+y^{2}=C$
d. $e^{-x y}+2 y^{2}=C$ | 1 |
How many published volumes of American reports were released in 1810? | 0 |
4. For the thermodynamic cycle shown in figure find (a) net output work of the gas during the cycle, (b) net heat flow into the gas per cycle.
 | 1 |
1.74. In the arrangement shown in Fig. 1.17 the mass of the rod $M$ exceeds the mass $m$ of the ball. The ball has an opening permitting
Fig. 1.17.
it to slide along the thread with som... | 1 |
What kind of disadvantages does an MP3 file have over a FLAC file? | 0 |
New Delhi is the annual host of what foot-race? | 0 |
Who are the best for Pre school Billericay? | 0 |
What is a pan card? | 0 |
14. Line $y=2 x-b$ cuts the parabola $y=x^{2}-4 x$ at points $A$ and $B$. Then the value of $b$ for which the $\angle A O B$ is a right angle is | 1 |
How can I fix a totally damaged friendship? | 0 |
4. A brass disc fits snugly in a hole in a steel plate. Should you heat or cool the system to losen the disc from the hole? Given that $\alpha_{B}>\alpha_{\mathrm{Fe}}$. | 1 |
What do you think of love affairs between teachers and students? | 0 |
Example 22.2 In the above problem if heat is supplied at a constant rate of $q=10 \mathrm{cal} / \mathrm{min}$, then plot temperature versus time graph. | 1 |
Why does every question on Quora need improvement ? | 0 |
7. Phenol on treatment with $\mathrm{CO}_{2}$ in the presence of $\mathrm{NaOH}$ followed by acidification produces compound $\mathrm{X}$ as the major product. $\mathrm{X}$ on treatment with $\left(\mathrm{CH}_{3} \mathrm{CO}\right)_{2} \mathrm{O}$ in the presence of catalytic amount of $\mathrm{H}_{2} \mathrm{SO}_{4}$... | 1 |
16. 1 g of a sample containing $\mathrm{NaCl}, \mathrm{NaBr}$ and an inert material, with excess of $\mathrm{AgNO}_{3}$, produces 0.526 g of precipitate of AgCl and AgBr . By heating this precipitate in a current of chlorine, AgBr converted to AgCl and the precipitate then weighed 0.426 g . Find the percentage of NaCl ... | 1 |
18. Eq. wt. of a metal, $x \mathrm{~g}$ of which reacts with 1 eq. of an acid, is
(a) 1
(b) $x / 2$
(c) $2 x$
(d) $x$ | 1 |
37. An organic liquid rises 2.0 cm in a capillary tube. How much will it rise if the cross-sectional area of the tube is doubled?
(a) 2.0 cm
(b) 1.0 cm
(c) 4.0 cm
(d) 1.4 cm | 1 |
How does BRAT describe the four main points of the Treaty of Versailles? | 0 |
Which is the best gaming laptop under 40,000 rs? | 0 |
Is Donald Trump capable of running a country even though he does not have the following? | 0 |
Which are best mobile phones to buy under 15000? | 0 |
What is the blast furnace? | 0 |
How would I increase my height aftr 18? | 0 |
25. For a dimerization reaction, $\quad 2 \mathrm{~A}(\mathrm{~g}) \rightarrow \mathrm{A}_2(\mathrm{~g})$, at $298 \mathrm{~K}, \Delta \mathrm{U}^{\Theta}=-20 \mathrm{~kJ} \mathrm{~mol}^{-1}, \Delta \mathrm{S}^{\Theta}=-30 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, then the $\Delta \mathrm{G}^{\Theta}$ will be J... | 1 |
6. An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let $\lambda_{n}, \lambda_{g}$ be the de-Broglie wavelength of the electron in the $n$th state and the ground state, respectively. Let $\Lambda_{n}$ be the wavelength of the emitted photon in the transition from the ... | 1 |
16. $f: R \rightarrow[-1, \infty)$ and $f(x)=\ln ([|\sin 2 x|+|\cos 2 x|])$ (where [.] is the greatest integer function).
a. $f(x)$ has range $Z$
b. $f(x)$ is periodic with fundamental period $\pi / 4$
c. $f(x)$ is invertible in $\left[0, \frac{\pi}{4}\right]$
d. $f(x)$ is into function | 1 |
What makes a good software developer? | 0 |
10. If $C_{r}$ stands for ${ }^{n} C_{r}$, then the sum of the series
$$
\frac{2 \frac{n}{2} ! \frac{n}{2} !}{n !}\left[C_{0}^{2}-2 C_{1}^{2}+3 C_{2}^{2}-\ldots+(-1)^{n}(n+1) C_{n}^{2}\right]
$$
where $n$ is an even positive integer, is
$(1986,2 M)$
(c) $(-1)^{n / 2}(n+1)$
(d) None of these | 1 |
Where was England's first permanent settlement in the Americas? | 0 |
Can height increase after 25? | 0 |
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