AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The ratio of the time taken by a body moving with uniform acceleration in
reaching two points \( P \) and \( Q \) along a straight line path is \( 1: 2 . \) If the body starts from rest and moves linearly, the ratio of the distance between \( P \) and \( Q \)
from the starting point is:
\( A \cdot 4: \)
B. 1: 4
c. 2: 3
D. 3:
Subject: Physics
tor measuring acceleration) can be
made in the form of a tube filled with a
liquid and bent as shown. During
motion, the level of the liquid in the left
\( \operatorname{arm} \) will be at height \( h_{1} \) and in the right
\( \operatorname{arm} \) at a height \( h_{2} . \) Determine the
acceleration a of a carriage in which the accelerometer is installed, assuming
that the diameter of the tube is much
smaller than \( h_{1} \) and \( h_{2} \)
A \( \cdot \frac{g\left(h_{1}-h_{2}\right)}{h_{1}+h_{2}} \)
B. \( \frac{g\left(h_{1}+h_{2}\right)}{h_{1}-h_{2}} \)
c. \( \frac{g\left(h_{2}-h_{1}\right)}{h_{1}+h_{2}} \)
D. \( \frac{g\left(h_{2}\right)}{h_{2}-h_{1}} \)
Subject: Maths
A value of c which the conclusion of
Mean Value Theorem holds for the
function \( \boldsymbol{f}(\boldsymbol{x})=\log _{e} \boldsymbol{x} \) on the interval
[1,3] is
\( \mathbf{A} \cdot 2 \log _{3} e \)
B - \( \frac{1}{2} \log _{e} 3 \)
\( c \cdot \log _{3} \)
\( \mathrm{D} \cdot \log _{e} 3 \)
Subject: Maths
Construct the triangle with the following measurements and locate the
centroid:
\( \triangle \boldsymbol{X} \boldsymbol{Y} \boldsymbol{Z} \) with \( \boldsymbol{X} \boldsymbol{Y}=\mathbf{6 . 5 c m}, \boldsymbol{Y} \boldsymbol{Z}= \)
\( 5.6 c m \) and \( X Z=7.2 c m \)
Subject: Maths
The line \( \frac{x-3}{2}=\frac{y-4}{5}=\frac{z-6}{7} \)
A . lies in \( 3 x+2 y+4 z-6=0 \)
B. is parallel to \( 2 x-5 y+3 z=0 \)
\( \mathbf{c} \cdot \) is \( \perp \) to \( 2 x-5 y+3 z=0 \)
D. passing through (1,2,3)
Subject: Chemistry
Can the following groups of elements be classified as Dobereiner's triad:
(a) \( \mathrm{Na}, \mathrm{Si}, \mathrm{Cl} \)
(b) Be, Mg, Ca
Justify the answer in each case.
[Atomic mass of \( \boldsymbol{B e}-\mathbf{9} ; \boldsymbol{N} \boldsymbol{a}- \)
\( \mathbf{2 3} ; \boldsymbol{M} \boldsymbol{g}-\mathbf{2 4} ; \boldsymbol{S} \boldsymbol{i}-\mathbf{2 8} ; \boldsymbol{C l}-\mathbf{3 5} ; \boldsymbol{C} \boldsymbol{a}- \)
40]
Subject: Chemistry
117 grams of \( N a C l \) are dissolved
in water to make \( 500 m L \) of
solution. Water is then added to this
solution to make a total of one liter
of solution. The final molarity of
the solution is :
\( A \cdot 4 M \)
в. 2 М
\( c \cdot 1 M \)
D. \( 0.5 ~ M \)
E . 0.585 М
Subject: Physics
Assertion: The setting sun appears to be red.
Reason: Scattering of light is directly proportional to the wavelength.
A. both assertion and reason are true but the reason is the correct explanation of assertion
B. both assertion and reason are true but the reason is not the correct explanation of assertion
c. assertion is true but reason is false
D. both the assertion and reason are false
E. reason is true but assertion is false
Subject: Physics
Assertion: In a movie, ordinarily 24 frames are projected per second from one end to the other of the complete
film.
Reason: The image formed on retina of eye is sustained upto \( 1 / 10 \) second after the removal of stimulus.
A. Both assertion and reason are true but the reason is the correct explanation of assertion
B. Both assertion and reason are true but the reason is not the correct explanation of assertion
c. Assertion is true but reason is false
D. Both the assertion and reason are false
E. Reason is true but assertion is false
Subject: Physics
A transverse sine wave of amplitude 10cm and wavelength 200cm travels from left to right along a long horizontal stretched string with a speed of 100cm / s. Take the origin at left end of the string. At time \( t=0 \), the left end of
the string is at the origin and is moving downward. Then the equation of the wave will be (in C.G.S. system)
A. \( 10 \sin (0.01 \pi x-\pi t) \)
В. \( 10 \sin (0.02 \pi x-\pi t) \)
Subject: Chemistry
A red coloured mixed oxide \( (X) \) on
treatment with conc. \( H N O_{3} \) gives a
compound (Y). (Y) with HCl produces a chloride compound (Z) which can also be produced by treating (X) with cone.
HCl. Compounds \( (X),(Y) \) and \( (Z) \) will be :
This question has multiple correct options
A. \( M n_{3} O_{4}, M n O_{2}, M n C l_{2} \)
в. \( P b_{3} O_{4}, P b O_{2}, P b C l_{2} \)
\( \mathrm{c} \cdot F e_{3} O_{4}, F e_{2} O_{3}, F e C l_{2} \)
D. \( F e_{3} O_{4}, F e_{2} O_{3}, F e C l_{3} \)
Subject: Physics
Could this reaction occur?
Proton \( \rightarrow \) neutron \( + \) other particles
A. Yes, if the other particles have much more kinetic energy than mass energy.
B. Yes, but only if the proton has potential energy (due to interactions with other particles)
C. No, because a neutron is more massive than a proton.
D. No, because a proton is positively charged while a neutron is electrically neutral.
Subject: Maths
\( \frac{\boldsymbol{C}_{\mathbf{0}}}{\mathbf{1}}+\frac{\boldsymbol{C}_{\mathbf{1}}}{\mathbf{2}}+\frac{\boldsymbol{C}_{\mathbf{2}}}{\mathbf{3}}+\ldots \ldots \ldots+\frac{\boldsymbol{C}_{\mathbf{1 0 0}}}{\mathbf{1 0 1}} \) equals
A \( \cdot \underline{\underline{2}^{101}} \)
101
B. \( \frac{2^{101}-1}{101} \)
c. \( \frac{3^{101}}{101} \)
D. \( \frac{3^{101}-1}{101} \)
Subject: Physics
A tank with a small orifice contains oil
on top of water. It is immersed in a large
tank of the same oil. Water flows
through the hole. Assuming the level of
oil outside the tank above orifice does
not change. a. What is the velocity of
this flow initially? b. When the flow
stops, what would be the position of the
oil-water interface in the tank?
Determine the time at which the flow
stops? Density of oil \( =\mathbf{8 0 0} k g / m^{3} \)
Subject: Chemistry
Arrange the following compounds in increasing order of boiling point
Propan \( -1- \) ol, butan -1 -ol, butan - 2 - ol
pentan -1 -ol
A. Propan-1- ol, butan-2 - ol, butan-1 - ol, pentan-1-ol
B. Propan-1- ol, butan-1 - ol, butan - 2 - -이, pentan-1 -ol
c. Pentan-1- ol, butan-2 - -ol, butan-1 - ol, propan-1-ol
D. Pentan - 1- ol, butan-1 - ol, butan - 2- ol, propan-1 -ol
Subject: Chemistry
General electronic configuration of
lanthanides is:
\( \mathbf{A} \cdot(n-2) f^{1-14}(n-1) d^{0-1} n s^{2} \)
B . \( (n-2) f^{10-14}(n-1) d^{10-1} n s^{2} \)
C \( \cdot(n-2) f^{0-14}(n-1) d^{10} n s^{2} \)
D. \( (n-2) d^{0-1}(n-1) f^{1-14} n s^{2} \)
Subject: Physics
A rod of length \( 10 \mathrm{cm} \) lies along the principal axis of concave mirror of focal length \( 10 \mathrm{cm} \) in such a way thatits end closer to the pole is \( 20 \mathrm{cm} \) away from the mirror. The length of the image is
then -
\( \mathbf{A} \cdot 15 \mathrm{cm} \)
B. 2.5 \( \mathrm{cm} \)
\( c \cdot 5 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
Subject: Maths
A pair of fair coins is tossed yielding the equiprobable space \( \mathrm{S}=\{\mathrm{HH}, \mathrm{HT}, \mathrm{TH}, \mathrm{TT}\} \)
Consider the events:
\( A=\{\text { head on first } \operatorname{coin}\}=\{\mathrm{HH}, \mathrm{HT}\} \)
\( \mathrm{B}=\{\text { head on second coin }\}=\{\mathrm{HH}, \mathrm{TH}\} \)
\( \mathrm{C}=\{\text { head on exactly one coin }\}=\{\mathrm{HT}, \mathrm{TH}\} \)
Then check whether \( A, B, C \) are
independent or not.
Subject: Physics
If the resistance of conductor is \( R \), then
total heat dissipated across resistance
\( R \) is:
A \( \cdot \frac{i_{0}^{2} R t_{0}}{2} \)
B.
\( c \cdot \frac{i_{0}^{2} R t_{0}}{3} \)
D \( \cdot i_{0}^{2} R t_{0} \)
Subject: Chemistry
A student investigates the rate of
reaction between marble chips and
hydrochloric acid.
The mass of the reaction flask is
measured.

The graph shows the results of two
experiments, \( P \) and \( Q \)
Which change explains the difference
between \( \boldsymbol{P} \) and \( \boldsymbol{Q} \) ?
A. A catalyst is added in \( P \)
B. A higher temperature is used in \( P \)
c. Bigger marble chips are used in \( Q \)
D. Hydrochloric acid is more concentrated in \( Q \)
Subject: Chemistry
Calculate \( C-C l \) bond enthalpy from
following reaction:
\( \boldsymbol{C H}_{3} \boldsymbol{C l}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \boldsymbol{C H}_{2} \boldsymbol{C l}_{2}(\boldsymbol{g})+\boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( -104 k J . \) If \( C-H, C l-C l \) and \( H-C l \)
bond enthalpies are 414,243 and \( 431 k J m o l^{-1} \) respectively
Subject: Physics
If the displacement of simple pendulum at any time is \( 0.02 m \) and acceleration
is \( 2 m / s^{2}, \) then in this time angular
velocity will be:
\( \mathbf{A} \cdot 100 \mathrm{rad} / \mathrm{s} \)
B. 10 rad/s
c. 1 rad/s
D. \( 0.1 \mathrm{rad} / \mathrm{s} \)
Subject: Physics
A lens that has convex surface at one
side and concave surface at another
side behaves as:
a) convergent lens when the radius of curvature of convex surface is greater
than that of concave surface.
b) divergent lens when the radius of curvature of concave surface is greater
than that of convex surface.
c) convergent lens when the radius of
curvature of convex surface is less than
that of concave.
d) divergent lens when the radius of
curvature of concave surface is less
than that of convex surface.
\( \mathbf{A} \cdot \mathbf{a}, \mathbf{b} \) are true
B. a, dare true
c. \( c, d \) are true
D. b,c are true
Subject: Chemistry
The reaction, is an example of reaction
of:
\( 2 M n S O_{4}+2 K M n O_{4}+8 H_{2} S O_{4} \rightarrow \)
\( \mathbf{2} M n S O_{4}+5 F e_{2}\left(S O_{4}\right)_{3}+K_{2} S O_{4}+ \)
\( 8 H_{2} O \)
A. disproportionation
B. intermolecular redox
c. intramolecular redox
D. none of these
Subject: Chemistry
Given \( \boldsymbol{C}(\boldsymbol{s})+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( \mathbf{9 4 . 2 K c a l} \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}(l)+ \)
\( \mathbf{6 8 . 3 K c a l} \)
\( \boldsymbol{C H}_{4}(\boldsymbol{g})+\mathbf{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( 2 H_{2} O(l)+210.8 K c a l \)
The heat of formation of methane in
kcal will be:
A . - 45.9
в. -47.8
c. - 20.0
D. -47.3
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2\end{array}\right], \) verify that
\( \boldsymbol{A}^{3}-\mathbf{6} \boldsymbol{A}^{2}+\mathbf{9} \boldsymbol{A}-\mathbf{4} \boldsymbol{I}=\mathbf{0} . \) Hence find
\( \boldsymbol{A}^{-1} \)
Subject: Maths
Assertion
If \( a^{2}+b^{2}=c^{2}, c \neq, a b \neq 0 \) then the non
zero solution of the equation \( \sin ^{-1} \frac{\boldsymbol{a} \boldsymbol{x}}{\boldsymbol{c}}+\sin ^{-1} \frac{\boldsymbol{b} \boldsymbol{x}}{\boldsymbol{c}}=\boldsymbol{\operatorname { s i n }}^{-1} \boldsymbol{x} \) is \( \pm \)
Reason
\( \sin ^{-1} x+\sin ^{-1} y=\sin ^{-1}(x+y) \)
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
A long solenoid of radius \( 2 \mathrm{cm} \) has 100 turns/cm and carries a current of \( 5 A \). A
coil of radius \( 1 c m \) having 100 turns and a total resistance of \( 20 \Omega \) is placed inside the solenoid coaxially. The coil is connected to a galvanometer. If the current in the solenoid is reversed in direction, find the charge flown through the galvanometer
A \( \cdot 2 \times 10^{-4} C \)
B. \( 1 \times 10^{-4} C \)
c. \( 4 \times 10^{-4} C \)
D. \( 8 \times 10^{-4} C \)
Subject: Maths
If \( a \neq R \) and the equation \( -3(x- \)
\( [\boldsymbol{x}])^{2}+\mathbf{2}(\boldsymbol{x}-[\boldsymbol{x}])+\boldsymbol{a}^{2}=\mathbf{0}(\text { where }[\boldsymbol{x}] \)
denotes the greatest integer \( \leq x \) ) has
no integral solution, then all possible values of a lie in the interval:
A \( \cdot(-2,-1) \)
B . \( (-\infty,-2) \cup(2, \infty) \)
c. (-1,0)\( \cup(0,1) \)
D. (1,2)
Subject: Maths
Evaluate: \( \int \frac{\boldsymbol{d x}}{\boldsymbol{x}^{2}\left(\boldsymbol{x}^{3}+\mathbf{1}\right)^{\frac{2}{3}}} \)
A.
B.
\( -\left(1-\frac{1}{x^{3}}\right)^{1 / 3}+c \)
c. \( \quad-\left(1-\frac{1}{x^{2}}\right)^{2 / 3}+c \)
D \( \cdot\left(1+\frac{1}{x^{3}}\right)^{1 / 3}+c \)
\( -\left(1+\frac{1}{x^{2}}\right)^{2 / 3}+c \)
Subject: Chemistry
For the reaction \( 2 N H_{3} \rightarrow N_{2}+3 H_{2} \)
\( \mathbf{f}-\frac{\boldsymbol{d}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right]}{\boldsymbol{d} t}=\boldsymbol{k}_{1}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right], \frac{\boldsymbol{d}\left[\boldsymbol{N}_{2}\right]}{\boldsymbol{d} t}= \)
\( \boldsymbol{k}_{2}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right], \frac{\boldsymbol{d}\left[\boldsymbol{H}_{2}\right]}{\boldsymbol{d} t}=\boldsymbol{k}_{3}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right] \)
then the relation between \( k_{1}, k_{2} \) and \( k_{3} \)
is?
\( \mathbf{A} \cdot k_{1}=k_{2}=k_{3} \)
B. \( k_{1}=3 k_{2}=2 k_{3} \)
c. \( 1.5 k_{1}=3 k_{2}=k_{3} \)
D \( \cdot 2 k_{1}=k_{2}=3 k_{3} \)
Subject: Physics
\( 9_{2} U^{235} \) nucleus absorbs a neutron and disintegrates into \( _{54}^{92} X e^{139},_{38} S r^{94} \) and
\( \boldsymbol{X} \)
A. 3 neutrons
B. 2 neutrons
c. - \( \alpha \) particle
D. - \( \beta \) particle
Subject: Chemistry
Is there any change in the hybridisation
of \( B \) and \( N \) atoms as a result of the
following reaction?
\( \boldsymbol{B} \boldsymbol{F}_{3}+\boldsymbol{N} \boldsymbol{H}_{3} \rightarrow\left[\boldsymbol{F}_{3} \boldsymbol{B} \cdot \boldsymbol{N} \boldsymbol{H}_{3}\right] \)
Subject: Physics
A cradle is \( h \) meters above the ground
at the lowest position and \( H \) meters
when it is at the highest point. If \( v \) is the maximum speed of the swing having
total mass \( m \), then the relation between
\( \boldsymbol{h} \) and \( \boldsymbol{H} \) is:
A \( \cdot m v^{2}+h=H \)
в. \( \frac{v^{2}}{2 g}+h=H \)
c. \( \frac{v^{2}}{2 g}+2 h=H \)
D. \( \frac{v^{2}}{2 g}+H=h \)
Subject: Chemistry
Which of the following chemical reaction(s) is (are) involved in the
developing of photographic plate?
This question has multiple correct options
\( \mathbf{A} \cdot C_{6} H_{4}(O H)_{2}+2 A g B r \rightarrow 2 A g+C_{6} H_{4} O_{2}+2 H B r \)
B. \( \left.A g B r+2 N a_{2} S_{2} O_{3} \rightarrow N a_{3}\left[A g S_{2} O_{3}\right)_{2}\right]+N a B r \)
\( \mathbf{c} \cdot A g B r+2 N H_{3}(a q) \rightarrow\left[A g\left(N H_{3}\right)_{2}\right] B r \)
D. \( 2 A g B r+N a_{2} S_{2} O_{3} \rightarrow A g_{2} S_{2} O_{3}+2 N a B r \)
Subject: Physics
When a surface is irradiated with light
of wavelength \( 4950, \) a photocurrent appears which vanishes if a retarding
potential greater than \( 0.6 ~ V \) is applied across the phototube. When different source of light is used, it is found that the critical retarding potential is changed to \( 1.1 \mathrm{V} \). Find the work function of the emitted surface and the
wavelength of the second source.
Subject: Chemistry
Consider the following iodides:
\( \boldsymbol{P I}_{3} \quad \boldsymbol{A} \boldsymbol{s} \boldsymbol{I}_{3} \quad \boldsymbol{S} \boldsymbol{b} \boldsymbol{I}_{3} \)
\( \mathbf{1 0 2}^{\circ} \quad \mathbf{1 0 0 . 2}^{\circ} \quad \mathbf{9 9}^{\circ} \)
The bond angle is maximum in \( \boldsymbol{P I}_{3} \)
which is :
A. due to small size of phosphorus
B. due to more bond pair-bond pair repulsion in \( P I_{3} \)
c. due to less electronegativity of \( \mathrm{P} \)
D. none of these
Subject: Physics
Assertion
In projectile motion at any two positions \( \frac{\overrightarrow{\boldsymbol{v}}_{2}-\overrightarrow{\boldsymbol{v}}_{1}}{\boldsymbol{t}_{2}-\boldsymbol{t}_{1}} \) always remains constant.
Reason
The given quantity is average
acceleration, which should remain
constant as acceleration is constant
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 is incorrect but Reason is correct
Subject: Physics
Read the assertion and reason carefully
to mark the correct option out of the
options given below:
Assertion: When radius of orbit of a
satellite is made 4 times, its time period becomes 8 times. Reason : Greater the height above the surface of earth, greater is the time period of revolution.
A. If both assertion and reason are true and the
reason is the correct explanation of the assertion
B. If both assertion and reason are true but reason
is not the correct explanation of the assertion
c. If assertion is true but reason is false
D. If assertion is false but reason is true
Subject: Physics
Identify the semiconductor devices
whose characteristics are given above
in the order \( (a),(b),(c),(d): \)
(a)
\( (b) \)
\( (c) \)
A. Simple diode, Zener diode, Solar cell, Light dependent resistance
B. Zener diode, Simple diode, Light dependent resistance, Solar cell
C. Solar cell, Light dependent resistance, Zener diode Simple diode
D. Zener diode, Solar cell, Simple diode, Light dependent resistance
Subject: Maths
In the given figure, \( A B \| D C, \angle B A D= \)
\( 90^{0}, \angle C B D=28^{0} \) and \( \angle B C E=65^{0} \)
Then \( \angle A B D=? \)
\( A \cdot 32 \)
B .37
\( c \cdot 43 \)
\( D \cdot 53^{\circ} \)
Subject: Chemistry
Assertion
Combining equal volumes of \( 0.2 M \)
\( A g N O_{3}, \) and \( 0.2 M H C l \) does not
produce a precipitate of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \)
Reason
The silver ion is rapidly reduced to silver metal, producing chlorine gas.
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
Dichloroacetic acid \( \left(\boldsymbol{C H} \boldsymbol{C l}_{2} \boldsymbol{C O}_{2} \boldsymbol{H}\right) \) is
oxidized to \( C O_{2}, H_{2} O \) and \( C l_{2} \) by 1.2 equivalents of an oxidizing agent. Same amount of the acid can neutralize 'X'
moles of \( N H_{2} \) to give ammonium
dichloroacetate.' \( X^{\prime} \) is
A. 0.4
B. 0.3
\( c \cdot 0.2 \)
D. 0.1
Subject: Chemistry
Write the IUPAC names for the
following compounds:
(i) \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{ONO}\right] \mathrm{Cl}_{2} \)
(ii) \( \mathrm{K}_{3}\left[\mathrm{Cr}(\mathrm{CN})_{6}\right] \)
A. (i) Pentammonianitritocobalt (III) chloride
(ii) Potassiumhexacyanochromate (II)
B. (i) Pentammonianitratocobalt (II) chloride
(ii) Potassiumhexacyanidechromate (III)
C. (i) Pentamminenitritocobalt (III) chloride
(ii) Potassiumhexacyanochromate (III)
D. (i) Pentamminenitrocobalt (II) chloride
(ii) Potassiumhexacyanchromate (III)
Subject: Chemistry
In aqueous solution 1 mole of
\( \boldsymbol{C o C l}_{3} \cdot \boldsymbol{4} \boldsymbol{N} \boldsymbol{H}_{3} \) gives 1 mole of \( \boldsymbol{A g C l} \)
precipitate with excess \( A g N O_{3}, \) then what is the secondary valency of metal?
\( A \cdot 3 \)
B. 4
\( c \cdot 5 \)
D. 6
Subject: Chemistry
Two moles of an ideal monoatomic gas
is heated from \( 27^{\circ} C \) to \( 627^{\circ} C \)
reversibly and isochorically. The entropy of gas:
A. increases by \( 2 R \ln 3 \)
B. increases by \( 3 R \ln 3 \)
c. decreases by \( 2 R \ln 3 \)
D. decreases by \( 3 R \ln 3 \)
Subject: Maths
Use ruler and compass only for the following question. All construction lines and arcs must be clearly shown. Construct a \( \triangle A B C \) in which \( B C= \)
\( 6.5 c m, \angle A B C=60^{\circ}, A B=5 \mathrm{cm} \)
Construct a locus of points \( l_{1} \) at a
distance of \( 3.5 \mathrm{cm} \) from \( A . \) Also,
construct a locus of points \( l_{2} \) which is
equidistant from \( A C \) and \( B C . \) Let \( l_{1} \)
intersect \( l_{2} \) in two points \( X \) and \( Y \)
Measure \( \boldsymbol{X} \boldsymbol{Y} \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\left|\boldsymbol{x}^{2}-\mathbf{5} \boldsymbol{x}+\boldsymbol{6}\right|, \) then \( \boldsymbol{f}^{\prime}(\boldsymbol{x}) \)
equals
A. \( 2 x-5 \) for \( 2<x<3 \)
B. \( 5-2 x \) for \( 2<x<3 \)
c. \( 2 x-5 \) for \( x>2 \)
D. \( 5-2 x \) for \( x<3 \)
Subject: Physics
The mass of a bucket containing water is \( M_{0} . \) The bucket is pulled steadily up from a well of depth d. Due to a hole in the bucket the water is pouring out at a uniform rate and as a result the mass of
the bucket with water at the top of the
well reduces to M. Then the amount of
work done in pulling up the bucket is?
A \( \cdot\left(M_{0}-M\right) g d \)
в. \( \frac{1}{2}\left(M_{0}-M\right) g d \)
c. \( \left(M_{0}+M\right) g d \)
D. \( \frac{1}{2}\left(M_{0}+M\right) g d \)
Subject: Maths
Find the co-ordinates of a point lying on the line \( \frac{\boldsymbol{x}-\mathbf{2}}{\mathbf{3}}=\frac{\boldsymbol{y}+\mathbf{3}}{\mathbf{4}}=\frac{\boldsymbol{z}-\mathbf{1}}{\mathbf{7}} \) which
is at a distance 10 units from (2,-3,1)
\begin{tabular}{l} 
A. (32,37,71) \\
\hline
\end{tabular}
в. (-28,-43,-69)
c. (-32,-37,-71)
D. None of these
Subject: Physics
In the case of different rolling bodies
match the ratio of rotational kinetic
energy to the total kinetic energy
\( \begin{array}{ll}\text { List-I } & \text { List-II } \\ \text { a) hollow sphere } & \text { e) } 2: 5 \\ \text { b) solid cylinder } & \text { f) } 1: 2\end{array} \) c) solid sphere
d) hollow cylinder
\( A \)
\( a-h ; b-g ; c-e ; d-f \)
в. \( a-h ; b-g ; c-f ; d-e \)
c. \( a-e ; b-g ; c-h ; d-f \)
D. \( a-e ; b-g ; c-f ; d-h \)
Subject: Chemistry
The IUPAC name of the following
compound is :
A. 3 - Ethyl -2 - methylbut - 3 - ene
B. 2- Ethyl-3 - methyl but-1- -ene
c. 2 - Methyl- - - ethylbut- 3 - ene
D. 3- Methyl- 2 - ethylbut-1-ene
Subject: Physics
toppr
Q Type your question.
as shown. At the same instant, a man \( P \) throws a ball vertically upwards with
initial velocity ' \( u^{\prime} \). Ball touches (coming
to rest) the base of the plane at point \( B \)
of plane's journey when it is vertically
above the mans. ' \( s^{\prime} \) is the distance of
point \( B \) from point \( A \). Just after the
contact of ball with the plane, acceleration of plane increases to \( 3 m / s^{2} . \) Find:
(i) Initial velocity \( ^{\prime} u^{\prime} \) of ball.
(ii) Distance \( ^{\prime} s^{\prime} \)
(iii) Distance between man and plane when the man catches the ball black.
\( \left.\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \) (Neglect the height of
\( \operatorname{man}) \)
Subject: Physics
If \( Q_{1}=5 \mu C, Q_{2}=3 \mu C \) and \( Q_{3}= \)
\( -2 \mu C, \) then the net charge in the
system is :
A. \( -6 \mu C \)
в. \( 6 \mu C \)
\( c \cdot 8 \mu C \)
D. \( -2 \mu C \)
Subject: Physics
A transformer having the efficiency of \( 90 \% \) is working on \( 200 V \) and \( 3 k W \) power supply. If the current in the secondary coil is \( 6 A \), the voltage across the secondary coil and the
current in the primary coil respectively are:
A. \( 300 V, 15 A \)
в. \( 450 V, 15 A \)
c. \( 450 V, 13.5 A \)
D. \( 600 V, 15 A \)
Subject: Chemistry
What coefficient of \( A g N O_{3} \) is required to
balance the following equation?
\( C u+A g N O_{3} \rightarrow C u\left(N O_{3}\right)_{2}+A g \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. 2
D. 3
Subject: Physics
The velocity of a particle at an instant is \( 10 \mathrm{m} / \mathrm{s} . \) After 3 sec its velocity will
become \( 16 \mathrm{m} / \mathrm{s} \). The velocity at \( 2 \mathrm{sec} \) before the given instant, will be?
\( \mathbf{A} \cdot 6 \mathrm{m} / \mathrm{s} \)
B. \( 4 \mathrm{m} / \mathrm{s} \)
c. \( 2 \mathrm{m} / \mathrm{s} \)
D. \( 1 \mathrm{m} / \mathrm{s} \)
Subject: Physics
Find out the potential energy of the force \( \boldsymbol{F}=\boldsymbol{y} \hat{\boldsymbol{i}}+\boldsymbol{x} \hat{\boldsymbol{j}} \boldsymbol{N} \)
A. \( -x y+c \)
B. \( x y+c \)
c. \( -x y-c \)
D. \( x y-c \)