Question stringlengths 2 3k | label int64 0 1 |
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19 An experimenter arranges to trigger two flashbulbs simultaneously, producing a big flash located at the origin of his reference frame and a small flash at $x=30.0 \mathrm{~km}$. An observer moving at a speed of 0.250 c in the positive direction of $x$ also views the flashes. (a) What is the time interval between the... | 1 |
7. Statement 1: $\vec{a}, \vec{b}$ and $\vec{c}$ are three mutually perpendicular unit vectors and $\vec{d}$ is a vector such that $\vec{a}, \vec{b}, \vec{c}$ and $\vec{d}$ are non-coplanar. If $[\vec{d} \vec{b} \vec{c}]=[\vec{d} \vec{a} \vec{b}]=[\vec{d} \vec{c} \vec{a}]=1$, then $\vec{d}=\vec{a}+\vec{b}+\vec{c}$.
St... | 1 |
10. The number of possible optical isomers for the complexes $M_{2} B_{2}$ with $s p^{3}$ and $d s p^{2}$ hybridized metal atom, respectively, is:
Note: A and B are unidentate neutral and unidentate monoanionic ligands, respectively.
(a) 0 and 2
(b) 2 and 2
(c) 0 and 0
(d) 0 and 1 | 1 |
(d) What would be the reading if the lift mechanism failed and it hurtled down freely under gravity? | 1 |
What's one thing about you that nobody knows? | 0 |
(b) an increase in volume of sample? | 1 |
What is the difference between discrete and continuous random variables? | 0 |
How do I use the Samsung Wi-fi adapter for my Blu-Ray player? | 0 |
Is Helium considered an inert gas? If not, why? | 0 |
2. If $\alpha=30^{\circ}, \beta=30^{\circ}$ and $a=4.9 \mathrm{~m}$, the initial velocity of projection is
(a) $9.8 \mathrm{~ms}^{-1}$
(b) $4.9 \mathrm{~ms}^{-1}$
(c) $4.9 \sqrt{2} \mathrm{~ms}^{-1}$
(d) $19.6 \mathrm{~ms}^{-1}$ | 1 |
What Islamic state controlled southern Iberia in the 1170s? | 0 |
Where can I get best support in Sydney for buying, selling or transferring a property? | 0 |
3 A long cylindrical vessel is half-filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is
$5 \mathrm{~cm}$ and its rotational speed is 2 rotations per second, then the difference in the heights between the centre and the sides (in $\... | 1 |
Should I Trust Opindia.com? | 0 |
2. The ratio of energy of a photon of $2000 \AA$ wavelength radiation to that of $4000 \AA$ radiation is
(a) $1 / 4$
(b) 4
(c) $1 / 2$
(d) 2 | 1 |
Example 15 Find the equation of the hyperbola with foci $(0, \pm 3)$ and vertices $\left(0, \pm \frac{\sqrt{11}}{2}\right)$. | 1 |
What are some good vodka and tonic recipes? | 0 |
12. A rectangular glass slab $A B C D$ of refractive index $n_{1}$ is immersed in water of refractive index $n_{2}\left(n_{1}>n_{2}\right)$. A ray of light is incident at the surface $A B$ of the slab as shown. The maximum value of the angle of incidence $\alpha_{\max }$, such that the ray comes out only from the other... | 1 |
5. A bag contains some white and some black balls, all combinations being equa 11y likely. The total number of balls in the bag is 12 . Four balls are drawn at random from the bag at random without replacement.
| Column 1 | Column II |
| :---: | :---: |
| a. Probability that all the four balls are black is <br> equal ... | 1 |
1. $2 \leq 3 x-4 \leq 5$ | 1 |
What is an early example of the novel form of literature from Europe? | 0 |
1 A solid sphere of radius $R$ acquires a terminal velocity $v_{1}$ when falling (due to gravity) through a viscous fluid having a coefficient of viscosity $\eta$. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, $v_{2}$ when falling through the same fluid, th... | 1 |
27. Predict the direction in which $\Delta G^{0}$ for the equilibrium
$$
\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_{3}(\mathrm{~g}) ; \Delta \mathrm{G}_{298}^{0}=-33.32 \mathrm{~kJ}
$$
will change with increase in temperature. Calculate $\Delta G^{0}$ at $500^{\circ} \... | 1 |
22. The electric potential $V$ at any point $x, y, z$ (all in metre) in space is given by $V=4 x^{2}$ volt. The electric field at the point $(1 \mathrm{~m}, 0,2 \mathrm{~m})$ is $. \mathrm{V} / \mathrm{m}$. | 1 |
10. The cation that will not be precipitated by $\mathrm{H}_{2} \mathrm{~S}$ in the presence of dil. $\mathrm{HCl}$ is :
(a) $\mathrm{Pb}^{2+}$
(b) $\mathrm{Cu}^{2+}$
(c) $\mathrm{Co}^{2+}$
(d) $\mathrm{As}^{3+}$ | 1 |
13. Arrange the van der Waals constant for the gases:
[1995S]
I $\quad \mathrm{C}_{6} \mathrm{H}_{6}(\mathrm{~g})$
II $\mathrm{C}_{6} \mathrm{H}_{5} \cdot \mathrm{CH}_{3}(\mathrm{~g})$
III $\mathrm{Ne}(\mathrm{g})$
IV. $\mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
(a) I-A, II-D, III-C, IV-B
(b) I-D, II-A, III-B, IV-C
... | 1 |
Example 27.25 A long thin solenoid has 900 turns / metre and radius $2.50 \mathrm{~cm}$. The current in the solenoid is increasing at a uniform rate of 60 A/s. What is the magnitude of the induced electric field at a point?
(a) $0.5 \mathrm{~cm}$ from the axis of the solenoid.
(b) $1.0 \mathrm{~cm}$ from the axis of ... | 1 |
(d) the maximum distance the wire will move.  Figure 38-E13 | 1 |
How do I print t-shirts and start a business? | 0 |
1. If the function $f$ defined on $\frac{\pi}{6}, \frac{\pi}{3}$ by
$$
\begin{aligned}
& f(x)=\frac{\sqrt{2} \cos x-1}{\cot x-1}, \quad x \neq \frac{\pi}{4} \text { is continuous, } \\
& k, \quad x=\frac{\pi}{4}
\end{aligned}
$$
then $k$ is equal to
(2019 Main, 9 April I)
(a) $\frac{1}{2}$
(b) 2
(c) 1
(d) $\frac{1}{... | 1 |
7. The primary pollutant that leads to photochemical smog is:
(a) acrolein
(b) nitrogen oxides
(c) ozone
(d) sulphur dioxide | 1 |
Ex. 25. If the components of air are $\mathrm{N}_{2}, 78 \% ; \mathrm{O}_{2}, 21 \% ; \mathrm{Ar}, 0 \cdot 9 \%$ and $\mathrm{CO}_{2}, 0 \cdot 1 \%$ by volume, what would be the molecular weight of air? | 1 |
44. The compound(s) that exhibit(s) geometrical isomerism is (are)
$[2009]$
(a) $\left[\mathrm{Pt}(\mathrm{en}) \mathrm{Cl}_{2}\right]$
(b) $\left[\mathrm{Pt}(\mathrm{en})_{2}\right] \mathrm{Cl}_{2}$
(c) $\left[\mathrm{Pt}(\text { en })_{2} \mathrm{Cl}_{2}\right] \mathrm{Cl}_{2}$
(d) $\left[\mathrm{Pt}\left(\mathr... | 1 |
What's something you like to do for/by yourself that isn't common where you live? | 0 |
Given the kind of user base and traffic that deviantART has, why haven't they made the world's largest art/creative marketplace, instead of allowing others like Etsy or the artists' own sites to make the money? | 0 |
Would you write a math extended essay about the thermodynamics of a Cepheid or math behind Rubik's cube? Why? | 0 |
How many major Christian kingdoms existed in Iberia around 1150? | 0 |
How do you find the percent of two numbers? | 0 |
(iv) Although amino group is $o-$ and $p-$ directing in aromatic electrophilic substitution reactions, aniline on nitration gives a substantial amount of $m$-nitroaniline. | 1 |
Why did SIgmund believe all humans are born bisexual? | 0 |
45. Atomic radii of fluorine and neon in Ångstorm units are respectively given by
(a) $0.72,1.60$
(b) $1.60,1.60$
(c) $0.72,0.72$
(d) None of these values | 1 |
What is the coolest feature you have seen in a bike? | 0 |
What writer referred to the Christian period as new? | 0 |
How many universities does Rajasthan have? | 0 |
9. Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are $(2 \vec{a}+\vec{b})$ and $(\vec{a}-3 \vec{b})$ externally in the ratio $1: 2$. Also, show that P is the mid point of the line segment RQ. | 1 |
Where are the rotifera most prominent? | 0 |
What are the best ways to prevent deforestation? | 0 |
(i) An atomic orbital has $n=3$. What are the possible values of $l$ and $\mathrm{m}_{l}$ ? | 1 |
53. The value of the expression $\frac{\int_{0}^{a} x^{4} \sqrt{a^{2}-x^{2}} d x}{\int_{0}^{a} x^{2} \sqrt{a^{2}-x^{2}} d x}$ is equal to
a. $\frac{a^{2}}{6}$
b. $\frac{3 a^{2}}{2}$
c. $\frac{3 a^{2}}{4}$
d $\frac{a^{2}}{2}$ | 1 |
9. How long (approximate) should water be electrolysed by passing through 100 amperes current so that the oxygen released can completely burn $27.66 \mathrm{~g}$ of diborane? (Atomic weight of $\mathrm{B}=10.8 \mathrm{u}$ )
(a) 6.4 hours
(b) 0.8 hours
(c) 3.2 hours
(d) 1.6 hours | 1 |
12. The correct statement for the molecule, $\mathrm{CsI}_{3}$ is
[Main 2014]:
(a) It is a covalent molecule.
(b) It contains $\mathrm{Cs}^{+}$and $\Gamma$ ions.
(c) It contains $\mathrm{Cs}^{3+}$ and $\mathrm{I}^{-}$ions.
(d) It contains $\mathrm{Cs}^{+}, \mathrm{I}^{-}$and lattice $\mathrm{I}_2$ molecule. | 1 |
Example 47.3
Suppose the rest length of the box in figure (47.6) is 30 light seconds. The train $T_{1}$ travels at a speed of $0 \cdot 8$. Find the time elapsed between opening of $D_{1}$ and $D_{2}$ in the frame of $T_{1}$. | 1 |
13. If $n>1$, the values of the positive integer $m$ for which $n^{m}+1$ divides $a=1+n+n^{2}+\cdots+n^{63}$ is/are
a. 8
b. 16
c. 32
d. 64 | 1 |
Is there anything that trumps state law? | 0 |
12. Let $z_{1}=10+6 i$ and $z_{2}=4+6 i$. If $z$ is any complex number such that the argument of $\left(z-z_{1}\right) /\left(z-z_{2}\right)$ is $\pi / 4$, then prove that $|z-7-9 i|=3 \sqrt{2}$.
(1991, 4M) | 1 |
What are the best movies of all time? | 0 |
Which ranch applies, interprets, and occasionally overturns both state statutes and regulations? | 0 |
In what ways did the US and Britain lead to the rise of and continued to support the Third Reich? | 0 |
9. Two bullets are fired simultaneously, horizontally and
with different speeds from the same place. Which bullet
will hit the ground first ?
(a) the faster one (b) the slower one
(c) both will reach simultaneously
(d) depends on the masses. | 1 |
What are the ten best songs by Pink Floyd? | 0 |
Is there any way to develop my presence of mind? | 0 |
10. The area (in sq units) in the first quadrant bounded by the parabola, $y=x^2+1$, the tangent to it at the point $(2,5)$ and the coordinate axes is
(a) $\frac{14}{3}$
(b) $\frac{187}{24}$
(c) $\frac{8}{3}$
(d) $\frac{37}{24}$ | 1 |
Who was able to spread the idea of equality among all through his words? | 0 |
2. Show that the function given by $f(x)=e^{2 x}$ is increasing on $\mathbf{R}$. | 1 |
72. If $u=x^{2}+y^{2}$ and $x=s+3 t, y=2 s-t$, then $\frac{d^{2} u}{d s^{2}}$ equals to
a. 12
b. 32
c. 36
d. 10 | 1 |
12. Let $z_{1}=2-i, z_{2}=-2+i$. Find
(i) $\operatorname{Re}\left(\frac{z_{1} z_{2}}{\bar{z}_{1}}\right)$,
(ii) $\operatorname{Im}\left(\frac{1}{z_{1} \bar{z}_{1}}\right)$. | 1 |
Why do traders lose money in the stock market? | 0 |
24. The speed of particle, that can take discrete values, is proportional to :
(a) $n^{-3 / 2}$
(b) $n^{-1}$
(c) $n^{1 / 2}$
(d) $n$ | 1 |
What is Mahabharata all about? | 0 |
Who believe they are the one and only chosen few? | 0 |
Did Hitler personally kill anyone? | 0 |
Example 8 Find the value of $\sin \frac{31 \pi}{3}$. | 1 |
2. A $2 \mathrm{~m}$ ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 $\mathrm{cm} / \mathrm{s}$, then the rate (in $\mathrm{cm} / \mathrm{s}$ ) at which the bottom of the ladder slides away from the wall on the horizontal
ground when the top of the ladder is $... | 1 |
85 A 120 cm length of string is stretched between fixed supports. What are the (a) longest, (b) second longest, and (c) third longest wavelength for waves traveling on the string if standing waves are to be set up? (d) Sketch those standing waves. | 1 |
2. Let the equations of two sides of a triangle be $3 x-2 y+6=0$ and $4 x+5 y-20=0$. If the orthocentre of this triangle is at $(1,1)$ then the equation of its third side is
(a) $122 y-26 x-1675=0$
(b) $26 x-122 y-1675=0$
(c) $122 y+26 x+1675=0$
(d) $26 x+61 y+1675=0$ | 1 |
What helmet do navy seal’s wear? | 0 |
What are the safety precautions on handling shotguns proposed by the NRA in Idaho? | 0 |
How can I get a java trainer job in usa in MNC? | 0 |
66. Statement-1 : Although $\mathbb{F}_{5}, \mathrm{PCl}_{5}$ and $\mathrm{PBr}_{5}$ are known, the pentahalides of nitrogen have not been observed
Statement-2 : Phosphorus has lower electronegativity than nitrogen.
(a) Statement-1 is True, Statement-2 isTrue; Statement-2 is a correct explanation for Statement-1
(... | 1 |
50. For the first order reaction
$$
\begin{equation*}2 \mathrm{~N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \longrightarrow 4 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \tag{2011}
\end{equation*}
$$
(a) the concentration of the reactant decreases exponentially with time
(b) the half-life of the reaction decreas... | 1 |
Where is the place to buy a passport? | 0 |
In what country did Gregory of Tours live? | 0 |
4. Consider the following plots of rate constant versus $\frac{1}{\mathrm{~T}}$ for four different reactions. Which of the following orders is correct for the
activation energies of these reactions?
= \begin{cases}\cos ^{-1}\{\cot x\}, & x<\frac{\pi}{2} \\ 1 & \\ \pi[x]-1, & x \geq \frac{\pi}{2}\end{cases}$
where [$\cdot$] represents the greatest function and $\{\cdot\}$ represents the fractional part function. Find the jump of discontinuity. | 1 |
Example 1.70: Prove that $f(x)$ given by $f(x+y)=f(x)+f(y) \forall$ $x \in R$ is an odd function. | 1 |
4.10 Define the bond length. | 1 |
New Delhi's alternate-day travel scheme allowed trucks to enter the city after what hour? | 0 |
2.7 Example
18 g of glucose, $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$, is dissolved in 1 kg of water in a saucepan. Example 1.7 At what temperature will water boil at 1.013 bar? $K_{\mathrm{b}}$ for water is 0.52 $\mathrm{K} \mathrm{kg} \mathrm{mol}^{-1}$. | 1 |
8. Find the radical centre of the circles $x^{2}+y^{2}+4 x+6 y$ $=19, x^{2}+y^{2}=9$ and $x^{2}+y^{2}-2 x-2 y=5$. | 1 |
What’s your biggest regret that you have in your life so far? | 0 |
Who's going to win and become president, Hillary Clinton or Donald Trump? | 0 |
What if Quora and Yahoo Answers went to war? | 0 |
6. The products obtained when chlorine gas reacts with cold and dilute aqueous $\mathrm{NaOH}$ are :
(a) $\mathrm{ClO}^{-}$and $\mathrm{ClO}_{3}$
(b) $\mathrm{ClO}_{2}$ and $\mathrm{ClO}_{3}$
(c) $\mathrm{Cl}^{-}$and $\mathrm{ClO}^{-}$
(d) $\mathrm{Cl}^{-}$and $\mathrm{ClO}_{2}$ | 1 |
How do you write a capital G in cursive? | 0 |
Who became allies with the Manchus to seize control over Beijing? | 0 |
6. The straight line $\frac{x-3}{3}=\frac{y-2}{1}=\frac{z-1}{0}$ is
a. parallel to the $x$-axis
b. parallel to the $y$-axis
c. parallel to the $z$-axis
d. perpendicular to the $z$-axis | 1 |
5. If $I_{n}=\int_{-\pi}^{\pi} \frac{\sin n \pi}{\left(1+\pi^{x}\right) \sin x} d x, n=0,1,2, \ldots$, then
a. $I_{n}=I_{n+2}$
b. $\sum_{m=1}^{10} I_{2 m+1}=10 \pi$
c. $\sum_{m=1}^{10} I_{2 m}=0$
d. $I_{n}=I_{n+1}$ | 1 |
Ex. 30. Suppose 250 mL of a 0.433 M solution of $\mathrm{CuCl}_{2}$ is electrolysed. How long will a current of 0.75 A have to run in order to reduce the concentration of $\mathrm{Cu}^{2+}$ to 0.167 M ? What mass of $\mathrm{Cu}(\mathrm{s})$ will be deposited on the cathode during this time? | 1 |
Where can people who speak Catalan be found? | 0 |
25. In the molecular orbital model of benzene, how many pi-electrons are delocalized about the ring?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6 | 1 |
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