Question stringlengths 2 3k | label int64 0 1 |
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Example 2 Round off 231.45 to four, three and two significant digits. | 1 |
21. Consider an ellipse having its foci at $\mathrm{A}\left(\mathrm{z}_{1}\right)$ and $\mathrm{B}\left(\mathrm{z}_{2}\right)$ in the Argand plane. If the eccentricity of the ellipse be ' e ' and it is known that origin is an interior point of the ellipse, and $e \in\left(a, \frac{b\left|z_{1}-z_{2}\right|}{c\left|z_{1... | 1 |
9. The vapour pressures of pure liquids A and B are 400 and $600 \mathrm{mmHg}$, respectively at $298 \mathrm{~K}$. On mixing the two liquids, the sum of their initial volumes is equal to the volume of the final mixture. The mole fraction of liquid B is 0.5 in the mixture. The vapour pressure of the final solution, the... | 1 |
Along with scarce green vegetables, what had an impact on Rajasthani cooking? | 0 |
7. Mark out the correct options.
(a) An ammeter should have small resistance.
(b) An ammeter should have large resistance.
(c) A voltmeter should have small resistance.
(d) A voltmeter should have large resistance. | 1 |
Who is the best singer of all time? | 0 |
What is the amount of Maximum cash deposit in a saving bank account in a single financial year in India? Without paying income tax | 0 |
1. What is the volume of 6 g of hydrogen at 1.5 atm and $273^{\circ} \mathrm{C}$ ?
(89.6 litres) | 1 |
5. A rod of rest length $L$ moves at a relativistic speed. Let $L^{\prime}=L / \gamma$. Its length
(a) must be equal to $L^{\prime}$
(b) may be equal to $L$
(c) may be more than $L^{\prime}$ but less than $L$
(d) may be more than $L$. | 1 |
6. The least value of $c$ is
a. 4
b. 6
c. 7
d. 5 | 1 |
Ex. 12. What is $K_{c}$ for the following reaction at $25^{\circ} \mathrm{C}$ ?
$$
\begin{gathered}
\mathrm{Cu}^{2+}(\mathrm{aq})+\mathrm{Sn}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Sn}^{4+}(\mathrm{aq})+\mathrm{Cu}(\mathrm{~s}) \\
E_{\mathrm{Cu}^{2+}, \mathrm{Cu}}=0 \cdot 34 \text { volt, } E_{\mathrm{Sn}^{4+}, \mathrm... | 1 |
22. The value of $\frac{x}{x-m}+\frac{y}{y-n}+\frac{z}{z-r}$ is
a. 1
b. -1
c. 2
d. -2 | 1 |
56. How much $\mathrm{NH}_3$ must be added to a $0.004 \mathrm{M} \mathrm{Ag}^{+}$solution to prevent the precipitation of AgCl when $\left[\mathrm{Cl}^{-}\right]$reaches 0.001 M ? $K_{\text {sp }}(\mathrm{AgCl})=1.8 \times 10^{-10}$. Dissociation constant for $\mathrm{Ag}\left(\mathrm{NH}_3\right)_2^{+}=6.0 \times 10^... | 1 |
What did Greece have the highest percentage increase in between 2005 and 2011? | 0 |
Is Avatar Aang the last airbender? | 0 |
What are some of the best books on trading in the financial markets? | 0 |
How can I heal lower back pain? | 0 |
What will be the plot line of Star Wars Episode VII? | 0 |
2. Match the following two columns.
| Column I | Column II |
| :--- | :--- |
| (a)When temperature is <br> increased | (p)Upthrust on a floating <br> solid of constant volume <br> will increase |
| (b) When density of liquid is increased | (q)Upthrust on a floating <br> solid of constant volume <br> will decrease |
|... | 1 |
15. The coefficient of $x^{5}$ in the expansion of $\left(x^{2}-x-2\right)^{5}$ is
a. -83
b. -82
c. -86
d. -81 | 1 |
When did Hosokibara create Nihon Manga-Shi? | 0 |
How can GST be beneficial to the Indian economy? | 0 |
What declined from the 5th to the 13th centuries | 0 |
How can I make my boyfriend a better person? | 0 |
Why did I join Quora? | 0 |
5. A sky lab of mass $2 \times 10^{3} \mathrm{~kg}$ is first launched from the surface of earth in a circular orbit of radius $2 R$ and then it is shifted from this circular orbit to another circular orbit of radius $3 R$. Calculate the energy required
(a) to place the lab in the first orbit,
(b) to shift the lab fro... | 1 |
9. If the form of a sound wave traveling through air is
$$
s(x, t)=(6.0 \mathrm{~nm}) \cos (k x+(3000 \mathrm{rad} / \mathrm{s}) t+\phi)
$$
how much time does any given air molecule along the path take to move between displacements $s=+2.0 \mathrm{~nm}$ and $s=-2.0 \mathrm{~nm}$ ? | 1 |
How do I wake up suddenly in the morning? | 0 |
37. The dot at the end of this sentence has a mass of about one microgram. Assuming that the black stuff is carbon, calculate the approximate number of atoms of carbon needed to make such a dot. ( 1 microgram $=1 \times 10^{-6} \mathrm{~g}$ )
$\left(5 \times 10^{16}\right.$ atoms) | 1 |
72. If $\vec{a} \cdot \vec{b}=\beta$ and $\vec{a} \times \vec{b}=\vec{c}$, then $\vec{b}$ is
a. $\frac{(\beta \vec{a}-\vec{a} \times \vec{c})}{|\vec{a}|^{2}}$
b. $\frac{(\beta \vec{a}+\vec{a} \times \vec{c})}{|\vec{a}|^{2}}$
c. $\frac{(\beta \vec{c}-\vec{a} \times \vec{c})}{|\vec{a}|^{2}}$
d. $\frac{(\beta \vec{a}+\vec... | 1 |
33. The difference between the radii of the largest and the smallest circles which have their centre on the circumference of the circle $x^{2}+y^{2}+2 x+4 y-4=0$ and pass through the point $(a, b)$ lying outside the given circle, is
a. 6
b. $\sqrt{(a+1)^{2}+(b+2)^{2}}$
c. 3
d. $\sqrt{(a+1)^{2}+(b+2)^{2}}-3$ | 1 |
51. The following statement(s) is (are) correct :
[1999 - 3 Marks]
(a) A plot of $\log K_{p}$ versus $1 / T$ is linear
(b) A plot of $\log [X]$ versus time is linear for a first order reaction, $X \rightarrow P$
(c) A plot of $P$ versus $1 / T$ is linear at constant volume
(d) A plot of $P$ versus $1 / V$ is linea... | 1 |
Does tree stairs affect tree growth? | 0 |
$\cdot$・26 In Fig. 26-26a, a 9.00 V battery is connected to a resistive strip that consists of three sections with the same cross-sectional areas but different conductivities. Figure 26-26b gives the electricpotential $V(x)$ versus position $x$ along the strip. The horizontal scale is set by $x_{s}=8.00 \mathrm{~mm}$. ... | 1 |
What are some interesting one liners on America? | 0 |
How much can belief in God vary in Hinduism? | 0 |
Why haven't we built a space elevator yet? | 0 |
6. If $L_{1}=0$ is the reflected ray, then its equation is
a. $\frac{x+10}{4}=\frac{y-5}{4}=\frac{z+2}{3}$
b. $\frac{x+10}{3}=\frac{y+15}{5}=\frac{z+14}{5}$
c. $\frac{x+10}{4}=\frac{y+15}{5}=\frac{z+14}{3}$
d. none of these | 1 |
How can I earn money from Facebook? | 0 |
19. When concentrated $\mathrm{HCl}$ is added to an aqueous solution of $\mathrm{CoCl}_{2}$, its colour changes from reddish pink to deep blue. Which complex ion gives blue colour in this reaction?
(a) $\left[\mathrm{CoCl}_{4}\right]^{2-}$
(b) $\left[\mathrm{CoCl}_{6}\right]^{3-}$
(c) $\left[\mathrm{CoCl}_{6}\right... | 1 |
3. If $\int \frac{d x}{\left(x^{2}-2 x+10\right)^{2}}=A \tan ^{-1} \frac{x-1}{3}+\frac{f(x)}{x^{2}-2 x+10}+C$, where, $C$ is a constant of integration, then
(a) $A=\frac{1}{27}$ and $f(x)=9(x-1)$
(b) $A=\frac{1}{81}$ and $f(x)=3(x-1)$
(c) $A=\frac{1}{54}$ and $f(x)=3(x-1)$
(d) $A=\frac{1}{54}$ and $f(x)=9(x-1)^{2... | 1 |
Why does continental drift take place? | 0 |
What is a good inpatient drug and alcohol rehab center near Kossuth County IA? | 0 |
How do I clean a jute rug? | 0 |
Who is best known for being the first comics creator in Europe? | 0 |
6. Find the charges on the three capacitors connected to a battery as shown in figure (31-E1). Take $C_{1}=2.0 \mu \mathrm{F}$, $C_{2}=4.0 \mu \mathrm{F}, C_{3}=6 \cdot 0 \mu \mathrm{F}$ and $V=12$ volts.
 $8,10,11$
(b) $10,10,10$
(c) $10,11,10$
(d) $11,10,10$ | 1 |
6. 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 second contains $\mathrm{CuSO}_{4}$ solution. 9.85 g of gold was deposited in the first cell. If the oxidation number of gold is +3 , find the amount of Cu deposited on ... | 1 |
What are placement packages of NIT Hamirpur branchwise? | 0 |
16. In the circuit shown, $E=18 \mathrm{kV}, C=10 \mu \mathrm{F}, R_{1}=4 \mathrm{M} \Omega, R_{2}=6 \mathrm{M} \Omega, R_{3}=3 \mathrm{M} \Omega$. With $C$ completely uncharged, switch $S$ is suddenly closed (at $t=0$ ).
 $\mathrm{A}-\mathrm{C}$ | 1 |
40. In the Cannizzaro reaction given below,
$$2 \mathrm{PhCHO} \xrightarrow{\mathrm{OH}^{-}} \mathrm{PhCH}_{2} \mathrm{OH}+\mathrm{PhCO}_{2}^{-}
$$
the slowest step is
(a) the attack of ${ }^{-} \mathrm{OH}$ at the carbonyl group,
(b) the transfer of hydride to the carbonyl group,
(c) the abstraction of proton f... | 1 |
8. The statements that are true for the long form of the periodic table are :
(a) it reflects the sequence of filling the electrons in the order of subenergy level s, p, $\mathrm{d}$ and $\mathrm{f}$. (b) it helps to predict the stable valency states of the elements
(c) it reflects trends in physical and chemical pro... | 1 |
Who is the current lord of House Lannister of Lannisport? | 0 |
Do you think Amazon has done a better job than Flipkart in Customer Satisfaction levels? | 0 |
- Example 35 A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of $0.05 \mathrm{~cm} / \mathrm{s}$. Find the rate at which its area is increasing when radius is 3.2 cm . | 1 |
13. $\frac{3 x-1}{(x+2)^{2}}$ | 1 |
39. If integrating factor of
$x\left(1-x^{2}\right) d y+\left(2 x^{2} y-y-a x^{3}\right) d x=0$ is $e^{\int p d x}$, then $P$ is equal to
a. $\frac{2 x^{2}-a x^{3}}{x\left(1-x^{2}\right)}$
b. $2 x^{3}-1$
c. $\frac{2 x^{2}-a}{a x^{3}}$
d. $\frac{2 x^{2}-1}{x\left(1-x^{2}\right)}$ | 1 |
1.11. Two particles move in a uniform gravitational field with an acceleration $g$. At the initial moment the particles were located at one point and moved with velocities $v_{1}=3.0 \mathrm{~m} / \mathrm{s}$ and $v_{2}=4.0 \mathrm{~m} / \mathrm{s}$ horizontally in opposite directions. Find the distance between the par... | 1 |
What's the difference between sociology and psychology? | 0 |
What should I do, as a man, if a woman or underage girl falsely accuses me of sexual assault and produces a false witness? | 0 |
8. What would be the molality of $20 \%$ (mass/mass) aqueous solution of $\mathrm{Kl}$ ? (molar mass of $\left.\mathrm{Kl}=166 \mathrm{~g} \mathrm{~mol}^{-1}\right)$
(a) 1.08
(b) 1.35
(c) 1.48
(d) 1.51 | 1 |
How can I improve my calculus? | 0 |
At 25°C, if the pKa value for a weak acid is less than its aqueous solution pH by 2, what's the fraction of the acid in dissociated form? | 0 |
4. Let $n_{r}$ and $n_{b}$ be respectively the number of photons emitted by a red bulb and a blue bulb of equal power in a given time.
(a) $n_{r}=n_{b}$
(b) $n_{r}<n_{b}$
(c) $n_{r}>n_{b}$
(d) The information is insufficient to get a relation between $n_{r}$ and $n_{b}$. | 1 |
How can I control my anxiety? I'm 20 years old | 0 |
What is the relative density of oil? | 0 |
What are some examples of homozygous dominant and homozygous recessive genes | 0 |
What were the two proto-political parties? | 0 |
8. The domain of $f(x)=\log |\log x|$ is
a. $(0, \infty)$
b. $(1, \infty)$
c. $(0,1) \cup(1, \infty)$
d. $(-\infty, 1)$ | 1 |
How are follower lists on Instagram ordered? | 0 |
Human erythrocytes do not contain nuclei. Are the 23 pairs of chromosomes present in the cytosol of RBC? | 0 |
128. The equation of the line segment $A B$ is $y=x$. If $A$ and $B$ lie on the same side of the line mirror $2 x-y=1$, then the image of $A B$ has the equation
a. $x+y=2$
b. $8 x+y=9$
c. $7 x-y=6$
d. none of these | 1 |
29. For a solution formed by mixing liquids $\mathrm{L}$ and $\mathrm{M}$, the vapour pressure of $\mathrm{L}$ plotted against the mole fraction of $\mathrm{M}$ in solution is shown in the following figure. Here $x_{L}$ and $x_{M}$ represent mole fractions of $L$ and $M$, respectively, in the solution. The correct stat... | 1 |
How I can speak English with fluency? | 0 |
90 In Fig. 6-60, a block weighing 22 N is held at rest against a vertical wall by a horizontal force $\vec{F}$ of magnitude 60 N . The coefficient of static friction between the wall and the block is 0.55 , and the coefficient of kinetic friction between them is 0.38 . In six experiments, a second force $\vec{P}$ is ap... | 1 |
How are the sender and receiver connected in a slightly more complex form of communication model? | 0 |
7. Sum of series $\sum_{r=1}^{n} \sin ^{-1}\left[\frac{2 r+1}{r(r+1)\left(\sqrt{r^{2}+2 r}+\sqrt{r^{2}-1}\right)}\right]$ is
(a) $\frac{\pi}{2}-\sin ^{-1}\left(\frac{1}{n+1}\right)$
(b) $\cos ^{-1}\left(\frac{1}{n+1}\right)$
(c) $\cos ^{-1}\left(\frac{1}{n+2}\right)$
(d) None of these | 1 |
Who won the Super Bowl in 2001? | 0 |
2. Vapour pressure of a solvent is 17.5 mmHg while that of its dilute solution is 17.45 . The mole fraction of the solvent is
(a) 0.997
(b) 0.075
(c) 17.48
(d) 1.05 | 1 |
What is a hard disk drive? | 0 |
1. Which one of the following compounds possesses the most acidic hydrogen?
    Electric potential at $r=\frac{R}{2}$ | (p) $\frac{V}{4}$ |
| (b) Electric potential at $r=2 R$ | (q) $\frac{V}{2}$ |
| (c) ... | 1 |
What is the value of pi? Is it a rational number or an irrational number? | 0 |
How common are aux ports in Mitsubishi cars from the nineties? | 0 |
37. The area bounded by the curves $y=\sin ^{-1}|\sin x|$ and $y=\left(\sin ^{-1}|\sin x|\right)^{2}$, where $0 \leq x \leq 2 \pi$, is
a. $\frac{1}{3}+\frac{\pi^{2}}{4}$ sq. units
b. $\frac{1}{6}+\frac{\pi^{3}}{8}$ sq. units
c. 2 sq. units
d. None of these | 1 |
86. Let $S=\frac{4}{19}+\frac{44}{19^{2}}+\frac{444}{19^{3}}+\cdots$ up to $\infty$. Then $S$ is equal to
a. $40 / 9$
b. $38 / 81$
c. $36 / 171$
d. none of these | 1 |
13. The designation of an orbital with $n=4$ and $l=1$, is
(a) $4 d$
(b) 4 s
(c) $4 f$
(d) $4 p$ | 1 |
14. A thin uniform rod, pivoted at $O$, is rotating in the horizontal plane with constant angular speed $\omega$, as shown in the figure. At time $t=0$, a small insect starts from $O$ and moves with constant speed $v$ with respect to the rod towards the other end. It reaches the end of the rod at $t=T$ and stops. The a... | 1 |
23. Consider the following equilibrium in a closed container
$$
\mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2}(\mathrm{~g})
$$
At a fixed temperature, the volume of the reaction container is halved. For this change, which of the following statements holds true regarding the equilibr... | 1 |
Love: What is it like to fall in love with your best friend? | 0 |
In what society did women have status as abbesses? | 0 |
Comparing brain sizes among different creatures is used most commonly by what? | 0 |
Example 12 Show that the points $\mathrm{A}(2 \hat{i}-\hat{j}+\hat{k}), \mathrm{B}(\hat{i}-3 \hat{j}-5 \hat{k}), \mathrm{C}(3 \hat{i}-4 j-4 \hat{k})$ are the vertices of a right angled triangle. | 1 |
How does Dawkins interpret his findings on the existence, or not, of God. | 0 |
4. Assertion : If width of one slit in Young's double slit experiment is slightly increased, then maximum and minimum both intensities will increase.
Reason : Intensity reaching from that slit on screen will slightly increase. | 1 |
37. Which of the following is more acidic and why ?
Write resonance structure of the given compound. | 1 |
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