AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Assertion
Light waves have different refractive indices in different media.
Reason
Variations in the velocities of light in different media cause the refractive
indices to be different.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Which one of the following processes
will produce hard water?
This question has multiple correct options
A. saturation of water with \( C a C O_{3} \)
B. Addition of \( N a_{2} S O_{4} \) to water.
c. saturation of water with \( M g C O_{3} \)
D. saturation of water with \( C a S O_{4} \)
Subject: Maths
Solve graphically the following pairs of
equations. \( \boldsymbol{y}-\mathbf{2} \boldsymbol{x}+\mathbf{2}=\mathbf{0} ; \boldsymbol{y}=\mathbf{4} \boldsymbol{x}-\mathbf{4} \)
\( \mathbf{A} \cdot(1,0) \)
B \( \cdot(2,0) \)
\( \mathbf{c} \cdot(3,0) \)
D. None of these
Subject: Physics
Assertion
The minimum distance between an
object and its real image formed by a convex lens is '2 \( f^{\prime} \)
Reason
The distance between object and its
real image is minimum when its
magnification is one.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Physics
n the transformer shown in figure, the
load resistor is \( 50 \Omega \). The turns ratio
\( N_{1}: N_{2} \) is 10: 2 and the source voltage
is \( 200 \mathrm{V}(\mathrm{r} . \mathrm{m} . \mathrm{s}) . \) If a voltmeter across the
load measures \( 25 \mathrm{V} \) (r.m.s.), then the
source resistance \( R_{S} \) is (power loss is
negligible)
\( A \cdot 450 \Omega \)
в. \( 750 \Omega \)
c. \( 2000 \Omega \)
D. 100\Omega
Subject: Maths
From the top of a vertical tower, the
angles of depression of two cars, in the same straight line with the base of tower, at an instant are found to be 45 and \( 60 . \) If the cars are \( 100 \mathrm{m} \) apart and
are on the same side of the tower, find the height of the tower. [ Use \( \sqrt{3}=1.73] \)
Subject: Chemistry
Assertion
\( A l(O H)_{3} \) is amphoteric in nature.
Reason
Al-O and O-H bonds can be broken with
equal ease in \( A l(O H)_{3} \)
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
In a Young's double slit experiment, a
slab of thickness \( 1.2 \mu m \) and refractive
index 1.5 is placed in front of one slit
and another slab of thickness t and
refractive index 2.5 is placed in front of
the second slit. If the position of the central fringe remains unaltered, then
the thickness is
A. \( 0.4 \mu m \)
B. \( 0.8 \mu m \)
c. \( 1.2 \mu m \)
D. \( 0.72 \mu m \)
Subject: Maths
The slope of the normal to the curve
\( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{\theta}-\sin \theta), \boldsymbol{y}=\boldsymbol{a}(1-\cos \boldsymbol{\theta}) \) at
point \( \boldsymbol{\theta}=\frac{\boldsymbol{\pi}}{2} \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot-1 \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Physics
Consider a vector \( \boldsymbol{F}=\mathbf{4} \hat{\mathbf{i}}-\mathbf{3} \hat{\mathbf{j}} \). Another
vector which is perpendicular to \( \overrightarrow{\boldsymbol{F}} \) is:
A . \( 4 \hat{i}+3 \hat{j} \)
B. \( 6 \hat{i} \)
\( c .7 k \)
D. \( 3 \hat{i}-4 \hat{j} \)
Subject: Chemistry
The vapour pressure of water at \( 293 \mathrm{k} \) is 2438 Pa and the vapour pressure of an aqueous solution is 2395.8 Pa. If
solution density is \( 1080 \mathrm{kg} / \mathrm{m}^{3} \) at \( 313 \mathrm{K} \)
Calculate the osmotic pressure at 313
K. The molecular weight of solute =60.
A .24 .54 Pa
B . \( 24.54 \times 10^{5} \) Pa
c. 0.955 Pa
D. None of these
Subject: Maths
Find the sum of an infinite \( \mathrm{G.P}: 1+ \) \( \frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\dots \dots \)
A \( \cdot \frac{3}{5} \)
B. \( \frac{3}{2} \)
c. \( \frac{49}{27} \)
D. 8 \( \overline{5} \)
Subject: Biology
Find the correct match between given
set of organisms, their characteristics
and exception among them.
Organism Characteristic Exception
A. Rana, Alytes Without post Alytes
Bufo anal tail
B. Chelone Oviparous Testudo
Testudo
Calotes
C. Neophron Comb-like Apteryx
Corvus pecten
Apteryx
D. Fasciola Exhibit Dasypus
Dasypus Polyembryony
Echidna
Subject: Maths
The equation of the straight line which passes through (1,1) and making angle \( 60^{\circ} \) with the line \( x+\sqrt{3} y+2 \sqrt{3}=0 \)
is/are.
A. \( y=1 \)
B. \( x=1 \)
c. \( x+y=2 \)
D. \( x+\sqrt{3} y-\sqrt{3}-1=0 \)
Subject: Physics
A sound wave is travelling in a medium
in which the velocity is \( v \). It is incident in the second medium in which the velocity of the wave is \( 2 v \). What should
be the minimum angle of incidence in the first medium, so that the wave fails to cross the surface of separation of the two media?
A \( \cdot 60^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 30^{\circ} \)
D. \( 15^{\circ} \)
Subject: Maths
\( \operatorname{Let} f(x)=\left\{\begin{array}{cc}x^{2} / 2 & 0<x \leq 1 \\ 2 x^{2}-3 x+3, & 1<x<2\end{array}\right. \)
then which is incorrect
This question has multiple correct options
A. \( f \) is continuous in (0,2)
B. \( f \) is not continuous at all points in (0,2)
c. \( f \) is differentiable in (0,2)
D. \( L t_{x \rightarrow 1^{+}} f(x)=L t_{x \rightarrow 1^{-}} f(x) \)
Subject: Maths
\( \int \frac{e^{x} d x}{\cosh x+\sinh x}= \)
\( A \cdot \log \cosh x+c \)
B. \( \tan x+\cot x+c \)
C \( \cdot \frac{1}{2} e^{2 x}+c \)
D. \( x+c \)
Subject: Maths
\( \int_{0}^{2 \pi} \frac{x \sin ^{2 n} x}{\sin ^{2 n} x+\cos ^{2 n} x} d x \)
\( \mathbf{A} \cdot \pi^{2} \)
B . \( 2 \pi^{2} \)
\( \mathbf{c} \cdot 4 \pi^{2} \)
D. \( 8 \pi^{2} \)
Subject: Chemistry
Which of the following reactions is called saponification?
A \( \cdot C H_{3} C O O C H_{3}+O H^{-} \rightarrow C H_{3} C O O^{-}+C H_{3} O H \)
в. \( C H_{3} C O O^{-} N a^{+} \stackrel{H C l}{\longrightarrow} C H_{3} C O O H+N a C l \)
c.
D. \( C H_{3} C O O H+C H_{3} C H_{2} O H \rightarrow C H_{3} C O O H_{2} C H_{3} \)
Subject: Chemistry
\( \boldsymbol{K}_{C}=\mathbf{9} \) for the reaction, \( \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \)
\( C+D . \) If \( A \) and \( B \) are taken in equal
amounts. Then what is the amount of \( C \)
in equilibrium?
A. 0.75
в. 0.98
\( c \cdot 1.23 \)
D. 2.45
Subject: Maths
Coefficient of \( \boldsymbol{x}^{k},(\mathbf{0} \leq \boldsymbol{k} \leq \boldsymbol{n}) \) in
expansion of \( \boldsymbol{P}=\mathbf{1}+(\mathbf{1}+\boldsymbol{x})+(\mathbf{1}+ \)
\( \boldsymbol{x})^{2} \ldots \ldots+(1+\boldsymbol{x})^{n} \)
A. \( ^{n} C_{k} \)
B. \( ^{n+1} C_{n-k-1} \)
c. \( ^{n} C_{n-k} \)
D. \( ^{n+1} C_{k+1} \)
Subject: Maths
A lot contains 20 articles. The
probability that the lot contains exactly
2 defective articles is 0.4 and the
probability that the lot contains exactly
3 defective articles is \( 0.6 . \) Article are
drawn from the lot at random one by one
without replacement and are tested till all defective articles are found. What is
the probability that the testing procedure ends at the twelfth testing?
Subject: Maths
If relation \( \mathrm{R}= \)
\( \{(x, x+2): x \in N, 1 \leq x<4\} \) then \( R \)
is
в. \{(2,3),(4,2),(5,3)\}
c. \{(1,3),(2,4),(3,5),(4,6)\}
D. none of these
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}2 & 5 \\ 4 & 4\end{array}\right], \quad B=\left[\begin{array}{ll}0 & 5 \\ 1 & 6\end{array}\right], \) find
\( 5 \boldsymbol{A}^{\prime}+3 B^{\prime} \)
Subject: Physics
A particle starts from the origin at \( t=0 \) with an initial velocity of \( 3.0 \hat{i} m / s \) and
moves in the \( x-y \) plane with a constant acceleration \( (\mathbf{6 . 0} \hat{\mathbf{i}}+ \) \( 4.0 \hat{j}) m / s^{2} . \) The \( x- \) coordinates of the
particle at the instant when its \( y- \)
coordinates is \( 32 m \) is \( D \) meters. The
value of \( D \) is:
\( \mathbf{A} .50 \)
B. 60
c. 40
D. 32
Subject: Maths
Find the mean deviation about the
median for the following data. \( \mathbf{1 3}, \mathbf{1 7}, \mathbf{1 6}, \mathbf{1 1}, \mathbf{1 3}, \mathbf{1 0}, \mathbf{1 6}, \mathbf{1 1}, \mathbf{1 8}, \mathbf{1 2}, \mathbf{1 7} \)
Subject: Maths
If \( \boldsymbol{x}+\boldsymbol{y}=\mathbf{2 5} \) and \( \frac{\mathbf{1 0 0}}{\boldsymbol{x}+\boldsymbol{y}}+\frac{\mathbf{3 0}}{\boldsymbol{x}-\boldsymbol{y}}=\mathbf{6} \)
then the value of \( x-y \) is
A . 18
B . 20
c. 15
D. 10
Subject: Chemistry
Which mineral has been named
incorrectly?
A. Bauxite \( : \quad A l_{2} O_{3} \cdot 2 H_{2} O \)
B. Corundum : \( \quad A l_{2} O_{3} \)
c. Cryolite : 3 NaF \( \cdot \) AIF\( _{3} \)
D. Felspar : \( \quad B e_{3} A l_{2} S i_{6} O_{18} \)
Subject: Maths
\( O^{\prime} \) is a point inside of \( \triangle A B C . \) The
bisector of \( \angle A O B, \angle B O C, \angle C O A \) meet
the sides \( A B, B C \) and \( C A \) in points
\( D, E \) and \( F \) respectively, then
\( \boldsymbol{A} \boldsymbol{D} \cdot \boldsymbol{B} \boldsymbol{E} \cdot \boldsymbol{C} \boldsymbol{F}= \)
A. \( D B . E C . F A \)
в. \( A D . E C . F A \)
c. \( D B . B \) E.FA
D. DB.BE.CF
Subject: Physics
Find the maximum extension in the
spring
A \( \cdot \frac{1}{4} v_{0} \sqrt{\frac{m}{5 k}} \)
В \( \cdot \frac{3}{4} v_{0} \sqrt{\frac{m}{5 k}} \)
\( ^{\mathbf{c}} \cdot \frac{1}{3} v_{0} \sqrt{\frac{m}{5 k}} \)
D. \( \quad \frac{1}{8} v_{0} \sqrt{\frac{m}{5 k}} \)
Subject: Maths
\( X \) is any point inside a \( \triangle D E F \) and is joined to all vertices. From point \( \boldsymbol{P} \) on \( D X, P Q \| D E \) is drawn which meets \( \boldsymbol{E} \boldsymbol{X} \) at \( \boldsymbol{Q} \) and from \( \boldsymbol{Q}, \boldsymbol{Q} \boldsymbol{R} \| \boldsymbol{E} \boldsymbol{F} \) is drawn
which meets \( X F \) at \( R \) Prove that
\( \boldsymbol{P R} \| \boldsymbol{D} \boldsymbol{F} \)
Subject: Physics
Rahul is standing on the street and wants to throw an \( 8 k g \) book up to his
friend who is leaning out of a window
\( 5 m \) above street level. With what
velocity Rahul must throw the book so
that it reaches his friend in the window?
A. \( 5 m / s \)
в. \( 8 m / s \)
c. \( 10 m / s \)
D. \( 40 \mathrm{m} / \mathrm{s} \)
E \( .50 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Write the additive inverse of each of the
following rational numbers:
\( \frac{4}{9} ; \frac{-13}{7} ; \frac{5}{-11} ; \frac{-11}{-14} \)
A \( \cdot \frac{-4}{9} ; \frac{13}{7} ; \frac{5}{11} ; \frac{-13}{14} \)
В. \( \frac{-4}{9} ; \frac{1}{7} ; \frac{5}{11} ; \frac{-11}{14} \)
c. \( \frac{-4}{9} ; \frac{13}{7} ; \frac{5}{11} ; \frac{-11}{14} \)
D. \( \frac{-5}{9} ; \frac{13}{7} ; \frac{5}{11} ; \frac{-11}{14} \)
Subject: Chemistry
Which one of the following will show optical isomerism?
\( \begin{array}{cc}\text { в. } & H \\ & \mid \\ & C H_{3}- & C \\ & \mid \\ & O H\end{array}-C O_{2} H \)
c. \( \quad C H_{3} \) \( \left.\right|_{C H_{3}-} ^{\mid}_{C}-C O_{2} H \)
\( _{H} \)
D. \( \quad C H_{3} \) \( \begin{array}{ccc}c_{H_{3}-} & _{C} & _{-C O_{2} H} \\ & \mid & \\ & C l & \end{array} \)
Subject: Chemistry
Which of the following reactions is
possible?
A. \( M e_{3} C-O N a+M e_{3} C-B r \rightarrow M e_{3} C-O-C M e_{3} \)
в. \( M e_{2} C H-O N a+M e_{2}+M e_{2} C H M e_{2} C H B r \rightarrow \)
\( M e_{2} C H-O-C H M e_{2} \)
c. \( P h O N a+P h B r \rightarrow P h O P h \)
D. \( P h O N a+C H_{3} B r \rightarrow P h O C H_{3} \)
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{4} & \mathbf{0} \\ \mathbf{2} & \mathbf{5} & \mathbf{0} \\ \mathbf{3} & \mathbf{6} & \mathbf{0}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{3} & \mathbf{2} & \mathbf{1} \\ \mathbf{1} & \mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{5} & \mathbf{6}\end{array}\right] \)
and \( C=\left[\begin{array}{lll}3 & 2 & 1 \\ 1 & 2 & 3 \\ 7 & 8 & 9\end{array}\right], \) Then evaluate
\( \operatorname{matrix} \boldsymbol{A B}-\boldsymbol{B C} \)
Subject: Physics
When a woman with long hair puts her hands on a Van de Graaff Generator
large conducting sphere with a conveyor belt delivering charge to it) her hair stands on end. Which of the
following best explains this phenomenon?
A. Like charges attract
B. Like charges repel
c. Her hair will not stand on end
D. Her body is conducting a current to the ground
E. The Van de Graff generator makes a magnetic field that draws her hair up on end
Subject: Chemistry
Calculate \( E^{\ominus} \) for the reactions:
\( Z n Y^{2-}+2 e^{-} \rightleftharpoons Z n(s)+Y^{4-} \) is the
completely deprotonated anion of EDTA. The formation constant for
\( Z n Y^{2-} \) is \( 3.5 \times \)
\( \mathbf{1 0}^{\mathbf{1 6}} \mathbf{a n d} \boldsymbol{E}^{\ominus} \operatorname{for} \boldsymbol{Z} \boldsymbol{n} \rightarrow \boldsymbol{Z} \boldsymbol{n}^{\mathbf{2}+}+\mathbf{2} \boldsymbol{e}^{-} \)
is \( 0.76 \mathrm{V} \)
A . \( -1.25 V \)
B. \( 0.48 V \)
\( c .+0.68 V \)
D. \( -0.27 V \)
Subject: Physics
A paper weight is dropped from the roof of a block of multistorey flats, each storey being 3 meters high. It passes the ceiling of the \( 20^{t h} \) storey at \( 30 m / s \)
If \( g=10 m / s^{2}, \) how many storey
does the flat have?
A . 25
B. 30
c. 35
D. 40
Subject: Physics
The velocity of the CM of the rod
A \( \frac{5}{7} v_{0} \) at \( \tan ^{-1} \frac{4}{3} \) below horizonta
B. \( 5_{0} \) at \( \tan ^{-1} \frac{3}{4} \) below horizonta
\( 7^{0} \) a
C \( \cdot \frac{5}{8} v_{0} \) at \( \tan ^{-1} \frac{3}{4} \) below horizontal
\( \stackrel{-5}{-} \frac{5}{6} 0 \) at \( \tan ^{-1} \frac{4}{3} \) below horizonta
Subject: Physics
A block is pushed with some velocity up a rough inclined plane. It stops after
ascending few meters and then
reverses its direction and returns back
to point from where it started. If angle of
inclination is \( 37^{\circ} \) and the time to climb
up is half of the time to return back
then coefficient of friction is:
\( \mathbf{A} \cdot \frac{9}{20} \)
B. \( \frac{7}{5} \)
c. \( \frac{7}{12} \)
D. \( \frac{5}{7} \)
Subject: Maths
Three machines \( A, B \) and \( C \) produce respectively \( 50 \%, 30 \% \) and \( 20 \% \) of the total number of items of a factory. The
percentage of defective output of these machines are \( 3 \%, 4 \% \) and \( 5 \% \) respectively. if an item selected at random, find the probability that the item is non-defective.
Subject: Chemistry
An ideal binary solution is prepared by
two liquids \( A \) and \( B, \) with \( p_{A}^{o}>p_{B}^{o} . \) Then :
A. A-B interactions are stronger than A-A and B-B
B. A and B have same molecular masses
c. A-B interactions are similar to A-A and B-B interactions
D. Both A and B are non-polar substances
Subject: Maths
The largest interval lying in \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \) for which the function
\( \left[f(x)=4^{-x^{2}}+\cos ^{-1}\left(\frac{x}{2}-1\right)+\log (c o\right. \)
is defined, is-
A . \( [0, \pi] \)
в. \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \)
c. \( \left[-\frac{\pi}{4}, \frac{\pi}{2}\right) \)
D. \( \left[0, \frac{\pi}{2}\right) \)
Subject: Maths
In the group \( Q-\{-1\} \) under the binary
operation \( + \) defined by \( a * b=a+b+ \)
\( a b \) the inverse of 10 is
A \( \cdot \frac{1}{10} \)
в. \( \frac{11}{10} \)
c. \( \frac{-11}{10} \)
D. \( \frac{-10}{11} \)
Subject: Biology
Assertion
Natural selection is the outcome of
difference in survival and reproduction among individuals that show variation
in one or more traits.
Reason
Adaptive forms of a given trait tend to become more common, less adaptive
ones become less common or
disappear.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
The cost of electricity required to deposit \( 1 g m \) of \( M g \) is \( R s .5 . . \) How much would it cost to deposit 10 gm. of
\( A l ?(A t w t . A l=27, M g=24) \)
A. \( R s .10 .00 \)
B. Rs. 27.00
c. \( R s .44 .44 \)
D. Rs. 66.67
Subject: Physics
Identify the gate and match \( A, B, Y \) in
bracket to check.
\( \mathbf{A} \cdot \operatorname{AND}(A=1, B=1, Y=1) \)
B. OR \( (A=1, B=1, Y=0) \)
C . NOT \( (A=1, B=1, Y=1) \)
D. XOR \( (A=0, B=0, Y=0) \)
Subject: Chemistry
Equimolar quantities of \( \boldsymbol{H} \boldsymbol{I}, \quad \boldsymbol{H}_{2}, \quad \boldsymbol{I}_{2} \)
are brought to equilibrium. If the total pressure in the vessel is 1.5 at \( m \) and
\( K_{p} \) for the reaction
\( \mathbf{2} \boldsymbol{H} \boldsymbol{I}_{(g)} \rightleftharpoons \boldsymbol{H}_{2(g)}+\boldsymbol{I}_{2(g)} \) is \( \mathbf{4 9} \)
Which of the following is the correct value for the equilibrium partial
pressure of \( I_{2} ? \)
A . 0.4
B. 0.9
\( c .0 .7 \)
D. 0.5
Subject: Physics
A bob is suspended from the ceiling of a car which is accelerating uniformly on a horizontal road
choose the wrong statement
A. the bob stays a constant angle \( \theta \) with vertical with respect to car in equilibirum
B. the magnitude linear momentum of a bob as seen from the rod is increasing with time
c. linear momentum is conserved only in car reference of frame
D. linear momentum is conserved in car as well as ground reference of frame
Subject: Maths
A lines makes angles \( \frac{\boldsymbol{\alpha}}{2}, \frac{\boldsymbol{\beta}}{2}, \frac{\gamma}{2} \) with
positive direction of coordinate axes, then \( \cos \alpha+\cos \beta+\cos \gamma \) is equal to
A . -1
B. 1
\( c \cdot 2 \)
D. 3
Subject: Physics
Two moles of an ideal mono-atomic gas
is taken through a cyclic process as
shown in the \( P-T \) diagram. In the
process \( B C, P T^{2}= \) constant. Then the
ratio of heat absorbed and heat
released by the gas during the process
\( A B \) and process \( B C \) respectively is:-
\( A \cdot 2 \)
B. 3
\( c .5: 6 \)
\( D . \)
Subject: Physics
An inelastic ball is dropped from a height of \( 100 \mathrm{cm} . \) Due to collision with the earth \( 20 \% \) of its energy is lost. To what height will the ball rise?
\( \mathbf{A} \cdot 80 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
c. \( 60 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
Subject: Physics
A ball is let fall from a height \( h_{0} \). It makes \( n \) collisions with the earth. After
\( n \) collisions it rebounds with a velocity
\( v_{n} \) ' and the ball rises to a height \( h_{n} \) then coefficient of restitution is given
by:
\( ^{\mathbf{A}} \cdot_{e}=\left[\frac{h_{n}}{h_{0}}\right]^{1 / 2 n} \)
\( ^{\mathrm{B}} e=\left[\frac{h_{0}}{h_{n}}\right]^{1 / 2 n} \)
c. \( _{e}=\frac{1}{n} \sqrt{\frac{h_{n}}{h_{0}}} \)
D. \( _{e}=\frac{1}{n} \sqrt{\frac{h_{0}}{h_{n}}} \)
Subject: Physics
The greatest acceleration or deceleration that a train may have is \( a \). The minimum
time in which the train can get from one station to the next at a distance \( s \) is:
A \( \cdot \sqrt{\frac{s}{a}} \)
B. \( \sqrt{\frac{2 s}{a}} \)
\( ^{c} \cdot 2 \sqrt{\frac{s}{a}} \)
D. \( \frac{1}{2} \sqrt{\frac{s}{a}} \)
Subject: Biology
Assertion
Acini of pancreas release three major
enzymes and Islet of Langerhans two important hormones.
Reason
Pancreas, the second largest gland is a heterocrine gland.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
A train covered a certain distance at a
uniform speed. If the train would have been \( 10 \mathrm{km} / \mathrm{h} \) faster, it would have
taken 2 hours less than the scheduled
time. And, if the train were slower by 10 \( \mathrm{km} / \mathrm{h} ; \) it would have taken 3 hours more
than the scheduled time. Find the
distance covered by the train.
Subject: Maths
The inner circumference of a circular
track is \( 24 \pi \mathrm{m} \). The track is \( 2 \mathrm{m} \) wide
from everywhere. The quantity of wire required to surround the path completely is
A. \( 80 \mathrm{m} \)
B. \( 81 \mathrm{m} \)
c. \( 82 \mathrm{m} \)
D. 88m
Subject: Physics
Assertion
The escape speed does not depend on the direction in which the projectile is
fired.
Reason
Attaining the escape speed is easier if a projectile is fired in the direction the launch site is moving as the earth rotates about its axis.
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT-
B. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Maths
\( \cos ^{-1}\left(\cos \left(\frac{5 \pi}{4}\right)\right) \) is given by
\( \mathbf{A} \cdot 5 \pi / 4 \)
B . \( 3 \pi / 4 \)
\( \mathbf{c} .-\pi / 4 \)
D. None of these
Subject: Physics
A bomb of mass \( m=1 \mathrm{kg} \) thrown
vertically upwards with a speed \( u= \)
\( 100 \mathrm{m} / \mathrm{s} \) explodes into two parts after
\( \boldsymbol{t}=\mathbf{5} \) s. \( \mathbf{A} \) fragment of \( \operatorname{mass} \boldsymbol{m}_{\mathbf{1}}=\mathbf{4 0 0} \mathbf{g} \)
moves downwards with a speed \( v_{1}=25 \)
\( \mathrm{m} / \mathrm{s}, \) then speed \( \boldsymbol{v}_{2} \) and direction of
another mass \( m_{2} \) will be?
A. \( 40 \mathrm{m} / \mathrm{s} \) downwards
B. 40 m/s upwards
c. \( 60 \mathrm{m} / \mathrm{s} \) upwards
D. \( 100 \mathrm{m} / \mathrm{s} \) upwards
Subject: Physics
In the process shown in figure, the
internal energy of an ideal gas decreases by \( \frac{3 P_{0} V_{0}}{2} \) in going point \( C \) to
A. Heat transfer along the process CA is
A. \( -3 P_{0} V_{0} \)
B. \( \frac{-5 P_{0} V_{0}}{2} \)
\( c \cdot \frac{-3 P_{0} V_{0}}{2} \)
\( D \)
Subject: Maths
\( A D \) is a diameter of a circle and \( A B \) is
a chord. If \( \boldsymbol{A} \boldsymbol{D}=\mathbf{3 4} \boldsymbol{c m}, \boldsymbol{A B}=\mathbf{3 0} \boldsymbol{c m} \)
the distance of \( A B \) from the centre of
the circle is
\( A \cdot 17 \mathrm{cm} \)
\( 3.15 \mathrm{cm} \)
\( c .4 \mathrm{cm} \)
\( 8.8 m \)
Subject: Chemistry
After adding a solute freezing point of
water solution decreases to \( -0.186^{\circ} \mathrm{C} \)
Calculate \( \Delta T_{b} .\left(K_{f}=1.86^{\circ} C k g m o l^{-1}\right. \)
and \( K_{b}=0.512^{\circ} C k g m o l^{-1} \)
A \( \cdot 0.521^{\circ} \mathrm{C} \)
B . \( 0.0521^{\circ} \mathrm{C} \)
c. \( 1.86^{\circ} \mathrm{C} \)
D. \( 0.0186^{\circ} \mathrm{C} \)
Subject: Maths
The length, breadth and height of a cuboid are in the ratio \( 5: 4: 2 . \) If the
total surface area is \( 1216 \mathrm{cm}^{2} \), find the
dimensions of the solid.
A . \( (21 \times 11 \times 8) \mathrm{cm} \)
B. \( (20 \times 16 \times 8) \mathrm{cm} \)
c. \( (27 \times 17 \times 8) \mathrm{cm} \)
D. \( (25 \times 19 \times 8) \mathrm{cm} \)
Subject: Chemistry
For the following compounds, the correct statement(s) with respect to
nucleophilic substitution reactions is
\( (\operatorname{are}) \)
This question has multiple correct options
\( \mathbf{A} \cdot \) I and III follow \( S_{N} 1 \) mechanism
B. Compound IV undergoes inversion of configuration
C. I and II follow \( S_{N} 2 \) mechanism
D. The order of reactivity for I, III and IV is: \( I V>I>I I I \)
Subject: Maths
Position vectors of mid point of the
vector joining the points \( \boldsymbol{P}(\mathbf{2}, \mathbf{3}, \mathbf{4}) \) and \( Q(4,1,-2) \) is
\( \mathbf{A} \cdot 2 \hat{i}+\widehat{j}+\widehat{k} \)
B. \( 3 \hat{i}+2 \hat{j}+\widehat{k} \)
c. \( -3 \hat{i}-\hat{j}+\widehat{k} \)
D. None