AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Q Type your question
\[
\underset{\mathbf{M e} \atop \mathbf{P r o p e n}}^{\mathbf{S}}+\mathbf{P} \mathrm{d} \mathrm{Cl}_{2}+\mathbf{H}_{2} \mathbf{O} \frac{\mathbf{C u C l}_{2}}{\mathbf{O}_{2}} \underbrace{\mathbf{O}}_{\mathbf{M e}} \|_{\mathbf{M e}}+\mathbf{P} \mathbf{d}+\mathbf{3 H C l}
\]
(The reaction proceeds via the addition of \( \mathbf{H}^{\oplus} \) and \( \mathbf{O} \mathbf{H} \) by Markovnikov's rule followed by oxidation.
(or)
(iii) \( \mathrm{BH}_{3}+\mathrm{THF}+\mathrm{CH}_{3} \mathrm{COOH} \)
OH
(Wacker process)
This question has multiple correct options
\( \mathbf{A} \cdot H_{2} / P t \quad M M P P \quad \) Coldalk. \( K M n O_{4} \quad O_{2}+ \)
\[
P d C l_{2}+C u C l_{2}+H_{2} O
\]
\( \mathbf{B} \cdot H_{2} / P d+B a S O_{4}+ \)
quinoline\( \quad H C O_{3} H \quad \)Hotalk. \( K M n O_{4} \)
\( H \)
\( H g^{2+} \)
\( \mathbf{c} \cdot \sin _{2} B H+ \)
\( C H_{3} C O O H \quad P h C O_{3} H \quad O s O_{4} / N a H S O_{3} \)
\[
P d C l_{2}+C u C l_{2}+H_{O}
\]
\( \mathbf{D} \cdot B H_{3}+T H F+ \)
\[
\begin{array}{llll}
C H_{3} C O O H & M C P B A & O s O_{4} / H_{2} O_{2} & i
\end{array}
\]
Subject: Chemistry
The correct decreasing order of dehydration of following alcohols with
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) is:
\( \mathbf{B} \)
\( \mathbf{D} \)
\( A \cdot C>A>B>D \)
B. \( D>A>C>B \)
\( \mathrm{c} \cdot \mathrm{A}>\mathrm{B}>\mathrm{C}>\mathrm{D} \)
\( D \cdot D>C>A>B \)
Subject: Maths
The minimum value of \( \boldsymbol{f}(\boldsymbol{x})= \) \( 2^{\log _{8}^{3} \cos ^{2} x}+3^{\log _{8}^{2} \sin ^{2} x} \)
A \( \cdot 2^{1-\log _{8} \sqrt{3}} \)
B \( \cdot 2^{\log _{8} \sqrt{3}} \)
c. \( 3^{\log _{8} \sqrt{2}} \)
D. \( 2^{1+\log _{8}} \sqrt{3} \)
Subject: Chemistry
What is the correct formula for
determining the voltage of an electrochemical cell?
A \( \cdot E_{\text {cell }}^{0}=E_{\text {cathode }}^{0}-E_{\text {anode }}^{0} \) added
C \( \cdot E_{\text {constant }}^{0}=E_{\text {cathode }}^{0}-E_{\text {ande }}^{0} \)
D. \( E_{\text {constant}}^{0}=E_{\text {cathode}}^{0}+E_{\text {anode}}^{0} \)
E . \( E_{c e l l}^{0}=-E_{\text {cathode }}^{0}+E_{\text {ande }}^{0} \)
Subject: Physics
A copper coil has a resistance of \( 2.43 \Omega \)
at \( 50^{\circ} \mathrm{C} \). Find its resistance at \( 60^{\circ} \mathrm{C} \)
The resistance temperature coefficient
of copper is 0.0043 per \( ^{\circ} C \) at \( 0^{\circ} C \)
Subject: Physics
A mass of \( 50 \mathrm{kg} \) is suspended from a spring of stiffness \( 10 \mathrm{kN} / \mathrm{m} \). It is set oscillating and it is observed that
two successive oscillations have
amplitudes of \( 10 \mathrm{mm} \) and \( 1 \mathrm{mm} \) Determine the damping ratio.
A. 0.315
B. 0.328
c. 0.344
D. 0.353
Subject: Maths
Coefficient of deviation is calculated by the formula:
A \( \cdot \frac{\bar{X}}{\sigma} \times 100 \)
в. \( \frac{\bar{X}}{\sigma} \)
\( ^{\mathrm{c}} \cdot \frac{\sigma}{\bar{X}} \times 100 \)
D. \( \frac{\sigma}{\bar{X}} \)
Subject: Biology
Assertion
Lichens and mosses are said to form
the pioneer community in xerarch
succession
Reason
It is because these species get
established later, during the course of
succession.
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 \( 5 ~ k g \) stone falls from a height of
\( 1000 m \) and penetrates \( 2 m \) in a layer of
sand. The time of penetration is
A . 14.285 s
B. 0.0285 s
c. \( 7.146 \mathrm{s} \)
D. 0.285 s
Subject: Physics
If the difference between \( (\boldsymbol{n}+\mathbf{1})^{t h} \) Bohr
radius and \( n^{t h} \) Bohr radius is equal to
the \( (\boldsymbol{n}-\mathbf{1})^{t h} \) Bohr radius then find the
value of \( n \)
A . 4
B. 3
c. 2
D.
Subject: Physics
If circular race track is banked at angle
\( \theta(\theta>\text { angle of repose }), \) radius of track
is \( r \) and \( \mu \) is coefficient of friction
between car and road. Calculate
minimum speed on car on inclined plane to avoid slipping?
\( A \)
\[
v=\left[r g\left(\frac{\tan \theta-\mu}{1+\mu \tan \theta}\right)\right]
\]
B.
\[
v=\left[r g\left(\frac{\tan \theta+\mu}{1-\mu \tan \theta}\right)\right]
\]
\( c \)
\[
v=\left[r g\left(\frac{\tan \theta-\mu}{1+\mu \tan \theta}\right)\right]^{1 / 2}
\]
D.
\[
v=\left[r g\left(\frac{\tan \theta+\mu}{1+\mu \tan \theta}\right)\right]^{1 / 2}
\]
Subject: Physics
As shown in the figure, a rectangular loop of a conducting wire is moving away with a constant velocity 'v' in a perpendicular direction from a very long straight conductor a steady conductor carrying a steady current 'I'. When the breadth of the rectangular loop is very small compared to its distance from the straight conductor.
\( A \)
\[
E \propto \frac{1}{t^{2}}
\]
в. \( \quad E \propto \frac{1}{t} \)
c. \( E \propto \ln (t) \)
D.
\[
E \propto \frac{1}{t^{3}}
\]
Subject: Physics
A bullet is fired at a target with a velocity \( 80 \mathrm{m} / \mathrm{s} \) and penetrates \( 50 \mathrm{cm} \) into it. If this bullet were fired into a
target \( 25 \mathrm{cm} \) thick with equal velocity, with what velocity would it emerge, supposing the resistance to be uniform
and the same in both the cases?
A. \( \sqrt{80} \mathrm{m} / \mathrm{s} \)
в. \( \frac{40}{\sqrt{2}} m / s \)
c. \( 40 m / s \)
D. \( 40 \sqrt{2} \mathrm{m} / \mathrm{s} \)
Subject: Physics
A bomb at rest at the summit of a cliff
breaks into two equal fragments. One of
the fragments attains a horizontal velocity of \( 20 \sqrt{3} m / s . \) The horizontal
distance between the two fragments, when their displacement vectors is inclined at \( 60^{0} \) relative to each other is
\( (g=10), m / s^{\wedge} 2 \$ \$ \)
A \( \cdot 40 \sqrt{3} m \)
B. \( 80 \sqrt{3} m \)
c. \( 120 \sqrt{3} \mathrm{m} \)
.
D. \( 480 \sqrt{3} \mathrm{m} \)
Subject: Chemistry
For a hypothetical \( \boldsymbol{H} \) -like atom, the
wavelength in \( A^{o} \) for the spectral lines
for radiations from \( n=p \) to \( n=1 \) are
given by \( \lambda=\frac{1500 p^{2}}{p^{2}-1} ; \) where \( p= \)
\( 2,3,4 \dots \)
The wavelengths of most energetic photon and least energetic photons (in
\( \left.A^{o}\right) \) during the transition are:
\( \mathbf{A} \cdot 1500,2000 A^{\circ} \)
B . \( 2000,1500 A^{\circ} \)
\( \mathbf{c} \cdot 1000,2000 A^{\circ} \)
D. \( 2000,1000 A^{\circ} \)
Subject: Chemistry
\( 9.2 \mathrm{gm} \) of \( N_{2} O_{4}(g) \) is taken in a closed
one-litre vessel and heated till the
following equilibrium is reached
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \)
At equilibrium \( 50 \% \) of \( N_{2} O_{4}(g) \) is dissociated. What is the
equilibrium constant?
[in mole lit \( ^{-1} \) ] [M.wt. of \( N_{2} O_{4} \) is 92]
A. \( 0 . \)
в. 0.2
\( c \cdot 0.4 \)
D. 2
Subject: Maths
\( \operatorname{Let} \mathbf{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\frac{3 x+4 \tan x}{x} & \text { for } x \neq 0 \\ 7 & \text { for } x=0\end{array}\right. \)
\( \operatorname{then} f(x) \) is
A. continuous at \( x=0 \)
B. not continuous at \( x=0 \)
c. not determined at \( x=0 \)
D. \( L t_{x \rightarrow 0} f(x)=8 \)
Subject: Physics
Resistance of a platinum resistance thermom-eter is 2 ohm at \( 20^{\circ} \mathrm{C}, 4 \) ohm
at \( 100^{\circ} C \) and 2.2 ohm at some
temperature. this temperature-is
A \( \cdot 20^{\circ} \mathrm{C} \)
B. 30
\( \mathbf{c} \cdot 40^{\circ} \mathrm{C} \)
D. \( 28^{\circ} \mathrm{C} \)
Subject: Chemistry
The sequence of reagent which can efficiently bring about the above conversion is (are) ?
Consider the following synthesis
This question has multiple correct options
A. \( B r_{2} \) -hv/heat
B . \( B r_{2} \) -hv/heat, \( C_{2} H_{5} O N a / C_{2} H_{5} O H ; N B S- \) \( h v ; B_{2} H_{6}-T H F \) then \( C H_{3} C O O H \)
C. \( B r_{2} \) -hv/heat \( ;\left(C H_{3}\right)_{3} C O N a-\left(C H_{3}\right)_{3} C O H H B r- \)
ROOR
D. NBS-hv/CCl_
Subject: Physics
A large cylindrical tank has a hole of area \( A \) at its bottom and water is
poured into the tank through a tube of cross-sectional area \( \boldsymbol{A} \) ejecting water at
the speed \( v \). Which of the following is
true?
A. Water level in tank keeps on rising.
B. No water can be stored in the tank
c. water level will rise to a height \( \frac{v^{2}}{2 g} \) and then stop.
D. The water level will be oscillating.
Subject: Maths
For the following system of equation
determine the value of \( k \) for which the
given system of the equation has a unique solution. \( \boldsymbol{x}-\boldsymbol{k} \boldsymbol{y}=\mathbf{2} \)
\( \mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y}=-\mathbf{5} \)
Subject: Maths
If the line \( a x+b y+c=0 \) is a norma
to the curve \( \boldsymbol{x} \boldsymbol{y}=\mathbf{1}, \) then
This question has multiple correct options
A \( . a>0, b>0 \)
В. \( a>0, b<0 \)
c. \( a<0, b>0 \)
D. \( a<0, b<0 \)
Subject: Physics
A long straight wire (radius \( =3.0 \mathrm{mm}) \)
carries a constant current distributed
uniformly over a cross section perpendicular to the axis of the wire. If
the current density is \( 100 \mathrm{A} / \mathrm{m}^{2} \). The magnitudes of the magnetic field at (a) 2.0mm from the axis of the wire and 4.0
mm from the axis of the wire is
A. \( 1.4 e-7 T \)
B . \( 4 \pi \times 10^{-8} \mathrm{T}, \frac{\pi}{2} \times 10^{-8} \mathrm{T} \)
C \( \cdot 4 \pi \times 10^{-8} \mathrm{T}, \frac{9 \pi}{2} \times 10^{-8} \mathrm{T} \)
D・ \( \pi 10^{-4} \mathrm{T}, \frac{9 \pi}{2} \times 10^{-8} \mathrm{T} \)
Subject: Chemistry
Consider the reaction,
\( 4 \mathrm{NO}_{2}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow \)
\( \mathbf{2} \mathbf{N}_{2} \mathbf{O}_{5}(\mathbf{g}), \mathbf{\Delta}_{r} \boldsymbol{H}=-\mathbf{1 1} \mathbf{1} \mathbf{k} \mathbf{J} \)
If \( N_{2} O_{5}(s) \) is formed instead of
\( N_{2} O_{5}(g) \) in the above reaction, the
\( \Delta_{r} H \) value will be
(Given, \( \Delta H \) of sublimation for \( N_{2} O_{5} \)
is \( \left.54 k J m o l^{-1}\right) \)
A. \( -165 k J \)
в. \( +54 k J \)
\( \mathrm{c} \ldots+219 k J \)
D. \( -219 k J \)
Subject: Maths
Prove \( \operatorname{cosec}^{6} \boldsymbol{A}-\cos ^{6} \boldsymbol{A}= \)
\( \mathbf{3} \cot ^{2} \boldsymbol{A} \operatorname{cosec}^{2} \boldsymbol{A}+\mathbf{1} \)
Subject: Physics
A uniform thin ring of radius \( \boldsymbol{R} \) and
mass \( m \) suspended in a vertical plane from a point in its circumference its time period of oscillation is
A \( \cdot 2 \pi \sqrt{\frac{2 R}{g}} \)
В \( \cdot 2 \pi \sqrt{\frac{3 R}{2 g}} \)
c. \( \frac{\pi}{2} \sqrt{\frac{R}{g}} \)
D. \( \pi \sqrt{\frac{R}{2 g}} \)
Subject: Maths
Lovish has 6 hours to spend in Ha Ha Tonka State Park. He plans to drive
around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trial he
likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If
he hikes at an average speed of 1.5 miles per hour, which of the following systems of inequalities can be solved for the number of hours Lovish sends
driving d, and the number of hours he spends hiking, h while he is at the park?
A. \( 1.5 h+20 d>60, h+d \leq 6 \)
B. \( 1.5 h+20 d>60, h+d \geq 6 \)
\( c \cdot 1.5 h+20 d<0, h+d \geq 360 \)
0
D. \( 20 h+1.5 d>6, h+d \leq 60 \)
Subject: Chemistry
\( 25 \mathrm{mL} \) of a solution containing ferrous sulphate and ferric sulphate, acidified
with \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) is reduced by metallic zinc.
The solution requires \( 34.25 \mathrm{mL} \) of \( 0.1 \mathrm{N} \)
solution of \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) for oxidation
However, before reduction with zinc, 25
mL of same solution requires \( 22.45 \mathrm{mL} \)
of same \( K_{2} C r_{2} O_{7} . \) Calculate the weight
of \( F e_{2}\left(S O_{4}\right)_{3} \) present in gram per litre of the solution (in nearest integer)
Subject: Chemistry
Which of the following sequence is correct for decreasing order of ionic
radius?
A \( \cdot S e^{-2}, I^{-}, B r^{-}, O^{-2}, F^{-} \)
B . \( I^{-}, S e^{-2}, O^{-2}, B r^{-}, F^{-} \)
c. \( S e^{-2}, I^{-}, B r^{-}, F^{-}, O^{-2} \)
D. \( I^{-}, S e^{-2}, B r^{-}, O^{-2}, F^{-} \)
Subject: Maths
The rate of change of surface area of a
sphere of radius \( r \) when the radius is
increasing at the rate of \( 2 \mathrm{cm} / \) sec is
proportional to
A \( \cdot \frac{1}{r^{2}} \)
B. \( \frac{1}{r} \)
\( c \cdot r^{2} \)
D.
Subject: Physics
Assertion
Optical fibres are used to transmit light
without any appreciable loss in its intensity over distance of several
kilometers.
Reason
Optical fibres are very thick and all the
light is passed through it without any
loss.
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
Which of the following changes will cause the free energy of a cell reaction
to decrease?
\( \boldsymbol{Z} \boldsymbol{n} \mid \boldsymbol{Z} \boldsymbol{n} \boldsymbol{S} \boldsymbol{O}_{4}(\boldsymbol{a} \boldsymbol{q})\left(\boldsymbol{x}_{1} \boldsymbol{M}\right) \| \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a} \boldsymbol{q})\left(\boldsymbol{x}_{2} \boldsymbol{N}\right. \)
This question has multiple correct options
A. Increase in the volume of HCI solution from \( 100 \mathrm{mL} \) to \( 200 \mathrm{mL} \)
B. Increase in the pressure of hydrogen from 1 atm to 2 \( \operatorname{atm} \)
C . Increase in molarity \( x_{2} \) from 0.1 to 1 M
D. Decrease in molarity \( x_{1} \) from 1 M to 0.1 M
Subject: Maths
Simplify: \( \left(-80 m^{4} n p q\right) \div 10 m^{3} p q n^{2} \)
\( \mathbf{A} \cdot-8 m n \)
в. -8 тпр\( q \)
\( c .-8 m \)
D. \( \frac{-8 m}{n} \)
Subject: Chemistry
Following reaction is used to produce
\( B r_{2} \)
\( \mathbf{5} \boldsymbol{B r}^{-}+\boldsymbol{B r O}_{3}^{-}+\boldsymbol{6 H}^{+} \longrightarrow \boldsymbol{3} \boldsymbol{B r}_{2}+ \)
\( 3 H_{2} O \)
In this reaction:
\( \mathbf{A} \cdot B r^{-} \) disproportionates to \( B r_{2} \)
B. \( B r O_{3}^{-} \) disproportionates to \( B r_{2} \)
\( \mathrm{C} \cdot B r^{-} \) has been oxidised and \( B r O_{3}^{-} \) has been reduced
D. \( B r^{-} \) has been reduced and \( B r O_{3}^{-} \) has been oxidised
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{x} \\ \boldsymbol{y} & \boldsymbol{a}\end{array}\right] \) and if \( \boldsymbol{x} \boldsymbol{y}=\mathbf{1}, \) then
\( \operatorname{det}\left(A A^{T}\right) \) is equal to:
\( \mathbf{A} \cdot a^{2}-1 \)
B \( \cdot\left(a^{2}+1\right)^{2} \)
c. \( 1-a^{2} \)
D. \( \left(a^{2}-1\right)^{2} \)
E \( \cdot(a-1)^{2} \)
Subject: Physics
Electric charges having same magnitude of electric charge 'q', coulombs are placed at \( x=1 \mathrm{m}, 2 \mathrm{m}, 3 \mathrm{m} \) \( 4 m, 8 m, \dots \dots \) and so on. If any two consecutive charges have opposite sign but the first charge is necessarily positive, what will be the potential at \( x= \)
O?
A \( \cdot \frac{2 h q}{3} \)
B. zero
C. \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{2 q}{3}\right) \)
D. \( \frac{1}{4 \pi \varepsilon_{0}}(2 q) \)
Subject: Physics
A bullet of mass 20 g moving with a velocity of \( 500 \mathrm{m} / \mathrm{s} \), strikes a tree and goes out from the other side with a velocity of \( 400 \mathrm{m} / \mathrm{s} \). Calculate the work done by the bullet (injoules) in passing through the tree.
\( \mathbf{A} \cdot 900 J \)
B. \( 800 J \)
c. \( 950 J \)
D. \( 500 J \)
Subject: Maths
Order and degree of a differential
equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}=\left\{\boldsymbol{y}+\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{2}\right\}^{1 / 4} \) are
A. 4 and 2
B. 1 and 2
\( c \cdot 1 \) and 4
D. 2 and 4
Subject: Maths
\( \mathbf{A}=\cos 20^{0} \cos 40^{0} \cos 60^{0} \cos 80^{0} \)
\( \mathbf{B}=\cos 6^{0} \cos 42^{0} \cos 66^{0} \cos 78^{0} \)
\( \mathbf{C}=\cos \mathbf{3} \mathbf{6}^{\mathbf{0}} \cos \mathbf{7} \mathbf{2}^{\mathbf{0}} \cos \mathbf{1 0} \mathbf{8}^{\mathbf{0}} \cos \mathbf{1} \mathbf{4} \mathbf{4}^{\mathbf{0}} \)
A. \( A>B>C \)
в. \( B>C>A \)
c. \( C>A>B \)
D. \( A=B=C \)
Subject: Physics
Two students \( P \) and \( Q \) perform an experiment to verify Ohm's law for a conductor with resistance R. They use a current source and a voltmeter with
least counts of \( 0.1 \mathrm{mA} \) and \( 0.1 \mathrm{mV} \)
respectively. The plots of the variation of voltage drop(V) across R with current(i)
for both are shown. the statement which
is most likely to be correct is?
A. P has only random error(s)
B. Q has only systematic error(s)
c. \( Q \) has both random and systematic errors
D. P has both random and systematic errors
Subject: Chemistry
Assertion
Metallic character increases from left to
right in a period.
Reason
The higher the value of ionization energy, electronegativity and electron affinity the more is the metallic
character of the element.
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
I nree laentıcal square metal plates
\( M_{1}, M_{2} \) and \( M_{3} \) of side \( 10 \mathrm{cm} \& 5 \mathrm{mm} \)
thick are arranged as shown in figure.
The plates are separated by sheets of
paper \( 0.5 \mathrm{mm} \) thick \( \& \) of dielectric
constant \( 5 . \) The outer plates are
connected together \( \& \) connected to
lower potential while inner plate to higher potential terminal of a battery. Capacitance between the terminals of
the battery is : \( \left(\epsilon_{0}=8.910^{-12} C^{2} / N-\right. \)
\( \left.\boldsymbol{m}^{2}\right) \)
A. \( 1780 p F \)
В. \( 890 p F \)
\( \mathbf{c} .445 p F \)
D. \( 222.5 p F \)
Subject: Chemistry
Choose the incorrect statements.
This question has multiple correct options
A. All \( S-F \) bond lengths are identical in \( S F_{4} \)
B. All \( C l-F \) bond lengths are identical in \( C l F_{3} \)
C . All \( \angle F C l F \) angles are not identical in \( C l F_{3} \)
D. All possible angle in \( B F_{2} C l \) are \( 120^{\circ} \)
Subject: Maths
\( \frac{\boldsymbol{b}+\boldsymbol{c}-\boldsymbol{a}}{\boldsymbol{a}}, \frac{\boldsymbol{c}+\boldsymbol{a}-\boldsymbol{b}}{\boldsymbol{b}}, \frac{\boldsymbol{a}+\boldsymbol{b}-\boldsymbol{c}}{\boldsymbol{c}} \) are in
A.P., then \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in
A. A.P.
в. н.Р
c. G.
D. A.G.P
Subject: Chemistry
Which of the following statement is
false?
A. Bridgehead halides are inert towards both \( S_{N} 1 \) and
\( S_{N} 2 \) reactions.
B. The first step in both \( S_{N} 1 \) and \( E 1 \) reactions is the
same
C \( . S_{N} 2 \) reaction is favoured by weak nucleophile and protic solvent.
D. \( E 2 \) eliminations are favoured by the use of a solvent of low polarity and high concentration of a strong base.
Subject: Biology
Given that tidal volume is \( 600 \mathrm{ml} \) inspiratory reserve volume is \( 2500 \mathrm{ml} \) and expiratory reserve volume is \( 800 \mathrm{ml} \)
what is the value of vital capacity of lung?
A . \( 3900 \mathrm{ml} \)
B. 3300ml
\( c .3100 \mathrm{ml} \)
D. \( 1400 \mathrm{ml} \)
Subject: Physics
A current of \( 1.0 A \) exists in a copper wire
of cross-section \( 1.0 \mathrm{mm}^{2} \). Assuming one
free electron per atom

Calculate drift speed of the free electron in the wire \( _{--}-_{-}-_{-} \) (the density of
copper is \( \left.9000 k g m^{2}\right) \)
A. \( 0.74 \mathrm{mms}^{-1} \)
B. \( 7.4 m m s^{-1} \)
\( \mathbf{c} \cdot 74 m m s^{-1} \)
D. \( 0.074 \mathrm{mms}^{-1} \)
Subject: Maths
Differentiate with respect to \( x e^{x} x^{5} \)
A \( \cdot 5 e^{x} x^{4}+e^{x} x^{5} \)
B. \( 4 e^{x} x^{5}+e^{x} x^{5} \)
\( \mathbf{c} \cdot 5 e^{x} x^{4}+e^{x} x^{4} \)
D. \( 4 e^{x} x^{5}+e^{x} x^{4} \)
Subject: Maths
The marked price of an article is Rs. 900 and the rate of sales-tax on it is \( 6 \% \). If on
selling the article at its marked price, a retailer has to pay \( \mathrm{VAT}=\mathrm{Rs} .4 .80 ; \) find the money paid by him (including salestax) for purchasing this article.
A. \( R s .754 .20 \)
B. \( R s .869 .20 \)
c. \( R s .946 .20 \)
D. Rs.1023.20
Subject: Maths
The difference between the greatest and the least value of \( \boldsymbol{f}(\boldsymbol{x})= \) \( \cos ^{2} \frac{x}{2} \sin x, x \in[0, \pi] \) is
\( A \cdot \frac{3 \sqrt{3}}{8} \)
в. \( \frac{\sqrt{3}}{8} \)
\( c \cdot \frac{3}{8} \)
D. \( \frac{1}{2 \sqrt{2}} \)
Subject: Chemistry
The molar enthalpy change for
\( \boldsymbol{H}_{2} \boldsymbol{O}(l) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \) at \( \boldsymbol{3} \boldsymbol{7} \boldsymbol{3} K \) and \( \boldsymbol{1} \) at \( \boldsymbol{m} \)
is \( 41 k J / \) mol. Assuming ideal behavior the internal energy change for vaporization of 1 mol of water at \( 373 K \)
and 1 atm in \( \mathrm{kJ} \mathrm{mol}^{-1} \) is:
A . 30.2
в. 41.0
c. 48.1
D. 37.9
Subject: Physics
(a)The pointer in the galvanometer deflects, when a bar magnet pushed or away from the coil connected to a galvanometer. Identify the phenomenon causing this deflection and write the factors on
which the amount and direction of the
deflection depends. State the laws describing this phenomenon.
(b) Sketch the change in flux, emf and force when a conducting rod PQ of resistance \( \mathrm{R} \) and length I moves freely to and fro between \( A \) and \( C \) with speed \( v \)
on a rectangular conductor placed in uniform magnetic field as shown in the figure.
Subject: Physics
A horizontally oriented tube \( A B \) of length
rotates with a constant angular
velocity \( \omega \) about a stationary vertica
axis \( 00^{\prime} \) passing through the end \( A \) (fig) The tube is filled with an ideal fluid. The
end \( A \) of the tube is open, the closed end
B has a very small orifice. Find the velocity of the fluid relative to the tube as a function of the column 'height' \( \boldsymbol{h} \)
A \( . v=\omega \sqrt{h(l-h)} \)
В . \( v=\omega \sqrt{h(2 l-h)} \)
c. \( v=\omega h \)
D. \( v=\omega \sqrt{2 h(l-h)} \)
Subject: Chemistry
Sulphides ores are converted to oxides
before reduction. This is explained on
the basis of which of the following?
A. Sulphides cannot be reduced easily while oxides can be reduced easily.
B. Sulphides decompose on reduction hence they are fixed converted to oxides.
C. Sulphide ores have higher melting points than oxides.
D. Oxides are more stable than sulphides hence easy to reduce.
Subject: Chemistry
In the reaction, \( \boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-}+\boldsymbol{H}_{2} \boldsymbol{O}(l)= \)
\( \boldsymbol{H}_{3} \boldsymbol{O}^{+}(\boldsymbol{l})+\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-}(l) \) the
hydrogen phosphate ion is the:
A. bronsted acid
B. bronsted base
c. conjugate acid
D. conjugate base
Subject: Chemistry
The arsenious sulphide solution has negative charge. Which of the following compounds has the maximum coagulating power for precipitating it?
\( \mathbf{A} \cdot 0.1 N Z n\left(N O_{3}\right)_{2} \)
в. \( 0.1 \mathrm{N} \mathrm{Na}_{3} \mathrm{PO}_{4} \)
\( c \cdot 0.1 N Z n S O_{4} \)
D. \( 0.1 \mathrm{N} \) AlCl\( _{3} \),
Subject: Physics
Two coils of self inductances \( 2 \mathrm{mH} \) and
\( 8 \mathrm{mH} \) are placed so close together that the effective flux in one coil is
completely linked with the other. The mutual inductance between these coils is:
\( A \cdot 10 \mathrm{mH} \)
B. \( 6 \mathrm{mH} \)
\( c \cdot 4 m H \)
D. 16 mH
Subject: Physics
A block is moving on an inclined plane
making an angle \( 45^{\circ} \) with the horizontal
and the coefficient of friction is \( \mu . \) The
force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding
down. If we define \( N=10 \mu, \) then \( N \) is
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5