AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
\( \ln \) an \( L C \) oscillation circuit, \( L= \)
\( \mathbf{1} \boldsymbol{H}, \boldsymbol{C}=\frac{\mathbf{1}}{\mathbf{4}} \boldsymbol{F} \) and maximum charge in
capacitor is \( 4 C . \) Match the following two
columns. Note that in column II all
values are in their respective Sl units
Subject: Physics
The decay constant of a radio active
element, which disintegrates to \( 10 g \) ms
from \( 20 g m s \) in 10 minutes is :
A .0 .00693 min\( ^{-1} \)
B. 6.93 min \( ^{-1} \)
c. 0.693 min \( ^{-1} \)
D. 0.0693 min \( ^{-1} \)
Subject: Maths
The graph of the curve \( x^{2}=3 x-y-2 \)
is
A \( \cdot \) between the lines \( x=1 \) and \( x=\frac{3}{2} \)
B. between the lines \( x=1 \) and \( x=2 \)
C. strictly below the line \( 4 y=1 \)
D. none of these
Subject: Chemistry
Which incorrect statement?
A. All halogens form oxyacids
B. All halogens show -1, +1,+3,+5,+7 oxidation states.
C. Hydrofluoric acid forms \( K H F_{2} \) and \( K_{2} F_{2} \) and attacks
glass.
D. Oxidising power is in order \( F_{2}>C l_{2}>B r_{2}>I_{2} \)
Subject: Maths
carried \( 1000 \mathrm{kg} \) of watermelon in
summer by train. In the beginning, the water content was \( 99 \% . \) By the time I
reached the destination, the water
content had dropped to \( 95 \% . \) The reduction in the weight of the
watermelon was
A. \( 300 \mathrm{kg} \)
в. 200 kg
c. \( 800 \mathrm{kg} \)
D. 700 kg
Subject: Physics
Three particles, each of mass m are
placed at the vertices of a right angled triangle as shown in figure. The position
vector of the center of mass of the
system is:
(O is the origin and \( \hat{i}, \hat{j}, \hat{k} \) are unit vectors)
A \( \cdot \frac{2}{3}(a \hat{i}+b \hat{j}) \)
B \( \cdot \frac{2}{3}(a \hat{i}-b \hat{j}) \)
c. \( \frac{1}{3}(a \hat{i}+b \hat{j}) \)
D \( \cdot \frac{1}{3}(a \hat{i}-b \hat{j}) \)
Subject: Physics
The displacement of a particle moving in a straight line is given by \( \boldsymbol{x}=\mathbf{1 6 t} \)
\( 2 t^{2} \) (where, \( x \) is in meters and \( t \) is in
second). The distance traveled by the particle in 8 seconds [starting from \( t= \)
O] is
A \( .24 m \)
в. \( 40 m \)
\( c .64 m \)
D. \( 80 m \)
Subject: Maths
If \( m \) and \( n \) are positive real numbers and logm, \( \log \left(\frac{m^{2}}{n}\right), \log \left(\frac{m^{2}}{n^{2}}\right) \) are in A.P then its
general term is-
\( ^{\mathbf{A}} \cdot \log \left(\frac{m^{r}}{n^{r-1}}\right) \)
\( ^{\mathbf{B}} \cdot \log \left(\frac{m^{r+1}}{n^{r}}\right) \)
\( ^{\mathbf{c}} \cdot \log \left(\frac{m}{n}\right)^{n} \)
D. \( \log \left(\frac{m^{r-1}}{n^{r+1}}\right) \)
Subject: Physics
A uniformly charged ring of radius R carrying q is rotating with angular speed \( \omega . \) The magnetic field at the centre of ring is:
A \( \cdot \frac{\mu_{o} q \omega}{2 \pi R} \)
в. \( \frac{\mu_{0} q \omega}{4 \pi R} \)
c. \( \frac{\mu_{q} q \omega}{8 \pi R} \)
D. zero
Subject: Physics
Diffraction of sound is very easy, to observe in day-to-day life. This is not so with light. This is so because
\( A \cdot \lambda_{S}>\lambda_{L} \)
в. \( \lambda_{s}<\lambda_{L} \)
c. light waves are transverse and sound waves are longitudinal
D. \( \lambda_{S}=\lambda_{L} \)
Subject: Chemistry
A science teacher has arranged the
following sets of test tubes as She asked the students to find out the
incorrect statement about the above
experimental set-up.
\( 15 \mathrm{mL} \)
Potassium
hydroxide
\( + \)
\( 10 \mathrm{mL} \)
Vinegar
A. Turmeric solution turns red in test tubes 1 and
B. China rose indicator turns green in test tubes 2 and
c. Methyl orange turns yellow in test tubes 1 and
D. Phenolphthalen remains colourless in test tubes 2 and
Subject: Chemistry
The reaction \( : \boldsymbol{X} \rightarrow \) product, follows first-order kinetics in 20 minutes, the
concentration of \( \boldsymbol{X} \) changes from \( \mathbf{0 . 1} \boldsymbol{M} \)
to \( 0.05 M \) then rate of reaction when
concentration of \( \boldsymbol{X} \) is \( \mathbf{0 . 0 2} \boldsymbol{m o l} / \boldsymbol{L} \) is:
A. \( 1.73 \times 10^{-4} \mathrm{M} / \min \)
B. \( 3.47 \times 10^{-5} \mathrm{M} / \mathrm{min} \)
c. \( 6.94 \times 10^{-4} \mathrm{M} / \min \)
D. \( 1.73 \times 10^{-5} \mathrm{M} / \mathrm{min} \)
Subject: Physics
How much does the monkey's velocity
change from \( t=2 s \) to \( t=7 s ? \)
A. \( +3 m / s \)
B. \( +1 m / s \)
\( \mathrm{c} \cdot 0 \mathrm{m} / \mathrm{s} \)
\( \mathbf{D} \cdot-1 m / s \)
\( \mathrm{E} \cdot-3 \mathrm{m} / \mathrm{s} \)
Subject: Maths
If \( y=\log _{x^{2}+4}\left(7 x^{2}-5 x+1\right), \) then
\( \frac{d y}{d x}= \)
A \( \cdot \frac{1}{\log _{e}\left(x^{2}+4\right)}\left(\frac{14 x-5}{7 x^{2}-5 x+1}-\frac{2 x y}{x^{2}+4}\right) \)
В \( \cdot \frac{1}{\log _{e}\left(x^{2}+4\right)}\left(\frac{14 x-5}{7 x^{2}-5 x+1}+\frac{2 x y}{x^{2}+4}\right) \)
c. \( -\frac{1}{\log _{e}\left(x^{2}+4\right)}\left(\frac{14 x-5}{7 x^{2}-5 x+1}-\frac{2 x y}{x^{2}+4}\right) \)
D. None of these
Subject: Chemistry
Arrange the following in decreasing order of enol content.
i. Diethyl malonate
ii. Acetoacetic ester(AAE or EAA)
iii. Acetyl acetone
¡v. PhCOCH \( _{2} \mathrm{COCH}_{3} \)
\( A \cdot(\text { iv })>(\text { iii })>(\text { ii })>(i) \)
B. (iv) > (iii) > (i) > (ii)
c. (iii) \( >(\text { iv })>(\text { ii })>( \) i)
\( D \cdot(\text { iii) }>(i v)>(i)>(i i) \)
Subject: Chemistry
You have two solutions, \( A \) and \( B \). The
\( p H \) of solution \( A \) is 6 and \( p H \) of
solution \( B \) is \( 8 . \) Which solution has
more hydrogen ion concentration? Which of this acidic and which one is
basic?
A. A \( p H \) value less then 7 indicates an acidic solution, while greater than 7 indicates a basic solution. Therefore, the solution with \( p H=6 \) is acidic and has more hydrogen ion concentration than the solution of \( p H=8 \) which is basic.
B. A \( p H \) value less then 7 indicates an basic solution, while greater than 7 indicates a acidic solution. Therefore, the solution with \( p H=8 \) is acidic and has more hydrogen ion concentration than the solution of \( p H=6 \) which is basic
C. A \( p H \) value less then 7 indicates an acidic solution, while greater than 7 indicates a basic solution. Therefore, the solution with \( p H=8 \) is acidic and has
more hydrogen ion concentration than the solution of \( p H=6 \) which is basic.
D. None of the above
Subject: Chemistry
Compound \( A\left(C_{7} H_{13} B r\right) \) is a tertiary
bromide. On treatment with sodium
ethoxide in ethanol, \( A \) is convert into \( B \)
\( \left(C_{7} H_{12}\right) . \) Ozonolysis of \( B \) gives \( C \) as the
only product. A and B are:
A . A: 1-bromo 1-methylcyclohexane; B:1-methy cyclohexene
B. A: 1-bromo 2-methylcyclohexane; B: 3-methyl cyclohexene
c. A: 1-bromo 1-methylcyclohexane; B methylenecyclohexane
D. None of these
Subject: Maths
In the figure, \( \angle \boldsymbol{E} \boldsymbol{F B}=\mathbf{6 6}^{\circ}, \angle \boldsymbol{B F O}= \)
\( 43^{\circ}, \angle O G F=23^{\circ}, \angle O G D=y . \) Find
the value of \( y \)
Subject: Physics
An electric dipole of diploe moment \( \overrightarrow{\boldsymbol{p}} \) placed in uniform electric field \( \overrightarrow{\boldsymbol{E}} \) has
minimum potential energy when angle between \( \vec{p} \) and \( \overrightarrow{\boldsymbol{E}} \)
\( ^{A} \cdot \frac{\pi}{2} \)
B. zero
c. \( \pi \)
D. \( \frac{3 \pi}{2} \)
Subject: Maths
Assertion
If \( z=i+2 i^{2}+3 i^{3}+\ldots \ldots \ldots \ldots+32 i^{32} \)
then \( z, \bar{z}, z \& \bar{z} \) forms the vertices of
square on argand plane.
Reason
\( z, \bar{z}, z, \bar{z} \) are situated at the same
distance from the origin on argand
plane.
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
The displacement of the medium in a
sound wave is given by the equation;
\( \boldsymbol{y}_{1}=\boldsymbol{A} \cos (\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b} \boldsymbol{t}) \) where \( A, \) a \( \& \boldsymbol{b} \) are
positive constants. The wave is
reflected by an obstacle situated at \( x= \)
0, The intensity of the reflected wave is 0.64 times that of the incident wave.
The wavelength of the incident wave is
Find the value of \( x: \) \( \boldsymbol{a} \)
Subject: Maths
\( P \) is a point on the ellipse having (3,4) and (3,-2) as the ends of minor axis. If the sum of the focal distances of \( \boldsymbol{P} \) be
equal to 10 then its equation is
A \( \cdot \frac{(x-3)^{2}}{36}+\frac{(y-1)^{2}}{12}=1 \)
в. \( \frac{(x-3)^{2}}{36}+\frac{(y-1)^{2}}{25}=1 \)
c. \( \frac{(x-3)^{2}}{25}+\frac{(y-1)^{2}}{9}=1 \)
D. \( \frac{(x-3)^{2}}{16}+\frac{(y-1)^{2}}{7}=1 \)
Subject: Maths
The curve \( \frac{x^{n}}{a^{n}}+\frac{y^{n}}{b^{n}}=2 \) touches the line \( \frac{x}{a}+\frac{y}{b}=2 \) at the point
A \( .(b, a) \)
в. \( (a, b) \)
c. (1,1)
D \( \cdot\left(\frac{1}{a}, \frac{1}{b}\right) \)
Subject: Chemistry
Identify the correct ground state
electrons configuration for \( \boldsymbol{C r} \) :
\( \mathbf{A} \cdot[A r] 3 s^{2} 3 d^{4} \)
B . \( [A r] 3 s^{2} 3 d^{5} \)
c. \( [A r] 4 s^{2} 3 d^{5} \)
D \( \cdot[A r] 4 s^{2} 3 d^{4} \)
E \( \cdot[A r] 4 s^{1} 3 d^{5} \)
Subject: Chemistry
Among the following four compounds
(i) Phenol
(ii) Methyl phenol
(iii) Meta-nitrophenol
(iv) Para-nitrophenol The acidity order is:
A \( \cdot(i v)>(i i i)>(i)>(i i) \)
в. \( (i i i)>(i v)>(i)>(i i) \)
c. \( (i)>(i v)>(i i i)>(i i) \)
D. \( (i i)>(i)>(i i i)>(i v) \)
Subject: Maths
A square, non-singular matrix \( \boldsymbol{A} \)
satifies \( \boldsymbol{A}^{2}-\boldsymbol{A}+\mathbf{2} \boldsymbol{I}=\mathbf{0}, \) then \( \boldsymbol{A}^{-1}= \)
\( \mathbf{A} \cdot I-A \)
в. \( \frac{(I-A)}{2} \)
c. \( I+A \)
D. \( \frac{(I+A)}{2} \)
Subject: Maths
In the given figure, ABCD is a
parallelogram in which \( \angle B D C=45^{\circ} \)
and \( \angle B A D=75^{\circ} . \) Then, \( \angle C B D=? \)
\( A \cdot 150 \)
3. 105
\( c \cdot 60^{\circ} \)
\( D .75 \)
Subject: Physics
A massless rope is wrapped several
times on a disc of mass \( \mathrm{M} \) and radius \( \mathrm{R} \).
The other end is tied to a mass \( \mathrm{m}, \) which
at the beginning is at a height of h above
the ground shown in the figure.

When released the velocity of the mass
as it touches the ground is
A \( \cdot \frac{m M I}{2(M+m)} \)
B. \( \frac{m l}{M+m} \)
\( c \)
\( \mathbf{D} \cdot_{v}=\sqrt{\frac{4 m g h}{2 m+M}} \)
Subject: Chemistry
The specific heat of \( I_{2} \) in vapour and solid state are 0.031 and 0.055 cal/g respectively. The heat of sublimation of iodine at 200 is 6.096 kcal \( ^{-1} \). The heat
of sublimation of iodine at 250 will be:
\( \begin{array}{lll}\text { A } \cdot 3.8 & \text { kal }-1\end{array} \)
\( \begin{array}{ll}\text { B. } 4.8 & \text { kal }-1 \\ -1\end{array} \)
\( \begin{array}{lll}\text { C. } 2.28 & \text { kcal } & -1\end{array} \)
Subject: Chemistry
The depression in freezing point for
\( 0.01 m \) aqueous solution of
\( \boldsymbol{K}_{\boldsymbol{x}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right] \) is \( \boldsymbol{0 . 0 7 4 4} \boldsymbol{K} . \) The motal
depression constant for solvent is
\( 1.86 K k g \) mol\( ^{-1} . \) If the solute
undergoes complete dissociation, what is the correct molecular formula for the
solute?
\( A \cdot_{K_{2}\left[F e(C N)_{6}\right]} \)
B \( \cdot_{K_{3}}\left[F e(C N)_{6}\right] \)
c. \( \left._{K\left[F e(C N)_{6}\right.}\right] \)
D \( \quad K_{4}\left[F e(C N)_{6}\right] \)
Subject: Chemistry
\( 10^{-3} \) mol of \( C u S O_{4} \cdot 5 H_{2} O \) is
introduced in a \( 1.9 L \) vessel maintained
at a constant temperature of \( 27^{\circ} \mathrm{C} \) containing moist air at relative
humidity of \( 12.5 \% . \) What is the final molar composition of solid mixture?
For \( \boldsymbol{C u} \boldsymbol{S O}_{4} \cdot \boldsymbol{5} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C u} \boldsymbol{S} \boldsymbol{O}_{4}(\boldsymbol{s})+ \)
\( \mathbf{5} H_{2} O(\boldsymbol{g}), \boldsymbol{K}_{p}(\boldsymbol{a} \boldsymbol{t m})=\mathbf{1 0}^{-10} . \) Take vapor
pressure of water at \( 27^{\circ} \mathrm{C} \) as 28 torrs.
Subject: Physics
A bullet of mass 125 gm leaves a rifle with a velocity of \( 500 m s^{-1} \). The rifle
recoils with a velocity of \( 5 m s^{-1} \). Find
the mass of the rifle.
\( A \cdot 100 \mathrm{kg} \)
B. 12.5 kgg
\( c \cdot 1.25 \mathrm{kg} \)
D. 125 kg
Subject: Physics
In the potentiometer arrangement
shown in figure, the driving cell D has emf \( \mathrm{E} \) and internal resistance r. The cell
C, whose emf is to measured, has emf \( \boldsymbol{E} \)
\( \overline{2} \) and internal resistance 2r. The
potentiometer wire is \( 100 \mathrm{cm} \) long. If balance is obtained, the length AJ is
A . equal to \( 50 \mathrm{cm} \)
B. more than \( 50 \mathrm{cm} \)
c. less than \( 50 \mathrm{cm} \)
D. balance will be obtained only if resistance of AB is more than
Subject: Maths
a) A manufacturing company makes two models \( A \) and \( B \) of a product. Each
piece of model \( A \) requires 9 labor hours
for fabricating and 1 labor hour for finishing. Each piece of model \( \boldsymbol{B} \) requires 12 labor hours for finishing
and 3 labor hours for finishing. For fabricating and finishing, the maximum labor hours available are:
180 and 30 respectively. The company
makes a profit of Rs. 8000 on each piece of model \( A \) and Rs. 12000 on each piece
of model \( B \). How many pieces of model
\( A \) and model \( B \) should be
manufactured per week to realize a
maximum profit? What is the maximum profit per week?
b) Find the value of \( K \) so that the function \( f(x)=\left\{\begin{array}{ll}K x+1, & \text { if } x \leq 5 \\ 3 x-5, & \text { if } x \leq 5\end{array} \) at \right.
\( x=5 \) is a continuous function.
Subject: Physics
A parallel plate capacitor has capacitance \( C . \) If it is equally filled the parallel of materials of dielectric
constant \( K_{1} \) and \( K_{2} \) its capacity
becomes \( C_{1} . \) The ratio of \( C_{1} \) and \( C \) is
A. \( K_{1}+K_{2} \)
в. \( \frac{K_{1} K_{2}}{K_{1}+K_{2}} \)
c. \( \frac{K_{1}+K_{2}}{K_{1} K_{2}} \)
D. \( \frac{2 K_{1} K_{2}}{K_{1}+K_{2}} \)
Subject: Physics
A ball is projected from the ground at an
angled of \( 45^{\circ} \) with the horizontal surface. It reaches a maximum height of \( 120 \mathrm{m} \) and returns to the ground.
Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of
\( 30^{\circ} \) with the horizontal surface. The
maximum height it reaches after the bounce, in metres, is
Subject: Physics
In the AC circuit shown, \( X_{L}=7 \Omega, R= \)
\( 4 \Omega \) and \( X_{c}=4 \Omega . \) The reading of the
ideal voltmeter \( V_{2} \) is \( 8 \sqrt{2} \). The reading
of the ideal ammeter will be:
A . \( 1 A \)
в. \( 2 A \)
c. \( \sqrt{2} A \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Chemistry
Select the correct statement(s) about
the compound \( N O\left[B F_{4}\right] \)
This question has multiple correct options
A. It has \( 5 \sigma \) and \( 2 \pi \) bonds.
B. Nitrogen-oxygen bond length is higher than nitric oxide (NO).
C. It is a diamagnetic species.
D. \( B-F \) bond length in this compound is lower than in
\( B F_{3} \)
Subject: Physics
A galvanometer, together with an unknown resistance in series, is connected across two identical
batteries of each \( 1.5 \mathrm{V} \). When the
batteries are connected in series, the
galvanometer records a current of \( 1 A \)
and when the batteries are connected in
parallel, the current is \( 0.6 A \), then the
internal resistance is \( 1 / x^{\prime} \) \Omega. What is
the value of \( x \) '?
Subject: Physics
The electric potential at point \( X \) is 20 V and at point Y is - 40 V. Then, the work done by an external force in moving an electron from \( X \) to \( Y \) is:
\( \mathbf{A} \cdot 13 \times 10^{-8} J \)
В. \( 9.6 \times 10^{-18} \mathrm{J} \)
c. \( 3.2 \times 10^{-8} J \)
D. \( 30 \times 10^{-15} \mathrm{J} \)
Subject: Maths
ff \( p^{2}=a^{2} \cos ^{2} \theta+b^{2} \sin ^{2} \theta \) then Prove
That:
\( \boldsymbol{P}+\frac{\boldsymbol{d}^{2} \boldsymbol{p}}{\boldsymbol{d} \boldsymbol{\theta}^{2}}=\frac{\boldsymbol{a}^{2} \boldsymbol{b}^{2}}{\boldsymbol{p}^{3}} \)
Subject: Biology
Succession in a 6 metre deep pond exhibits a sequence of
A. Submerged Plants - Reeds \( \rightarrow \) Herbs \( \rightarrow \) Floating Plants
\( \rightarrow \) Shrubs \( \rightarrow \) Trees
B. Floating Plants - Submerged Plants \( \rightarrow \) Reeds \( \rightarrow \) Herbs
\( \rightarrow \) Shrubs \( \rightarrow \) Trees
c. Shrubs\rightarrow Trees \( \rightarrow \) submerged Plants \( \rightarrow \) Floating Plants
\( \rightarrow \) Reeds \( \rightarrow \) Herbs
D. Submerged Plants \( \rightarrow \) Floating Plants \( \rightarrow \) Reeds \( \rightarrow \) Herbs \( \rightarrow \) Shrubs \( \rightarrow \) Trees
Subject: Maths
\( \boldsymbol{y}=\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b}, \) a,b being constants.
A \( \cdot x \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0 \)
в. \( x \frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}=0 \)
c. \( 2 x \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0 \)
D. \( x \frac{d^{2} y}{d x^{2}}-2 \frac{d y}{d x}=0 \)
Subject: Chemistry
According to MOT (Molecular Orbital Theory), the molecular orbitals are
formed by mixing of atomic orbitals through LCAO (linear combination of
atomic orbitals). The correct statement
(s) about molecular orbitals is/are
Statement (a): bonding molecular orbitals are formed by addition of wavefunctions of atomic orbitals of same
phase Statement (b) : anti-bonding molecular orbitals do not take part in
bond formation because they belong to inner shells Statement (d) : anti-
bonding molecular orbitals provide stability to molecules while bonding molecular orbitals make the molecules
unstable.
A. statement a, d
B. Statement a, b, c
c. Statement \( a, b, d \)
D. Statement a
Subject: Chemistry
Assertion
Nitrogen in unreactive at room temperature but becomes reactive at elevated temperatures (on heating or in the presence of catalysts).
Reason
In nitrogen molecule, there is extensive delocalisation of electrons.
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: Maths
Factorise:
\( \boldsymbol{x}^{3}+\mathbf{3} \boldsymbol{x}^{2} \boldsymbol{y}+\mathbf{3} \boldsymbol{x} \boldsymbol{y}^{2}+\boldsymbol{y}^{3}-\mathbf{1 2 5}=\mathbf{0} \)
Subject: Physics
The area of cross-section of the wider
tube shown in figure is \( 800 \mathrm{cm}^{2} \). if mass of \( 12 k g \) is placed on the massless piston, the difference in heights h in the level of water in the two tubes is:
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( \mathrm{c} \cdot 15 \mathrm{cm} \)
D. \( 2 c m \)
Subject: Physics
Four resistors are connected as shown
in figure. A \( 6 V \) battery of negligible
resistance is connected across
terminal \( \boldsymbol{A C} \). The potential difference
\( \operatorname{across} \) terminals \( B \) and \( D \) will be :
A . \( 0 V \)
в. \( 1.5 V \)
\( c .2 V \)
D. \( 3 V \)
Subject: Maths
A man has to sell pulse at a loss of \( 10 \% \)
If he increases the selling price by Rs 5 per \( \mathrm{kg}, \) he would make a profit of \( 15 \% \) Find the cost price and initial selling price per kg of pulse.
A . Rs \( 20, \) Rs 18
B. Rs 18, Rs 20
c. \( R s 15, \) Rs 18
D. Rs 18, Rs 15
Subject: Chemistry
Atomic number 64 will have electronic
configuration:
\( \mathbf{A} \cdot[X e]_{54} 6 s^{2} 4 f^{3} \)
В \( \cdot[X e]_{54} 6 s^{2} 4 f^{7} 5 d^{1} \)
\( \mathbf{c} \cdot[X e]_{54} 4 f^{10} \)
\( \mathbf{D} \cdot[X e]_{54} 6 s^{2} 4 f^{7} 5 p^{1} \)
Subject: Chemistry
Four \( C l_{2} \) molecules undergo a loss and
gain of 6 mole of electrons to form two
oxidation states of \( C l \) in auto redox
change. What are the \( +v e \) and \( -v e \)
oxidation states of \( C l \) in the change:
A \( \cdot C l^{5+}, C l^{\circ} \)
в. \( C l^{7+}, C l^{-} \)
\( \mathbf{c} \cdot C l^{3+}, C l^{\circ} \)
D. \( C l^{3+}, C l^{-} \)
Subject: Physics
The following motion is based on the
law of conservation of angular
momentum
A) rotation of top
B) diving of a diver
C) rotation of ballet dancer on smooth
horizontal surface
D) a solid sphere that rolls down on an inclined plane Identify the wrong statement:
A. In rotating a top, angular momentum is conserved.
B. When a diver dives using a board, angular momentum is conserved.
c. In rotation of a ballet dancer on a smooth horizontal surface, angular momentum is conserved
D. When a solid sphere rolls down an inclined plane angular momentum is conserved.
Subject: Chemistry
\( B e^{3+} \) and a proton are accelerated by same proton, their de-broglie wavelengths are in the ratio:
(Assume the mass of proton=mass of neutron)
A . 1:
B. 1:
\( c \cdot 1: 4 \)
D. \( 1: 3 \sqrt{3} \)
Subject: Physics
Assertion: If a block is in SHM, and a
new constant force acts in the direction
of change, the mean position may change. Reason :In SHM only variable forces
should act on the body, for example spring force.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion
c. Assertion is correct and Reason is incorrect
D. Assertion is incorrect and Reason is correct
Subject: Maths
If the roots of \( a x^{2}-b x-c=0 \) change
by the same quantity, then the expression in \( a, b, c \) that does not
change is
A \( \cdot \frac{b^{2}-4 a c}{a^{2}} \)
в. \( \frac{b-4 c}{a} \)
c. \( \frac{b^{2}+4 a c}{a^{2}} \)
D. none of these
Subject: Chemistry
Arrange the following reducing agents in the order of increasing strength under standard state condition. Justify
the answer.
Element Al(s)
\( \mathrm{Cu}(\mathrm{s}) \quad \mathrm{cl}(\mathrm{aq}) \)
\( E^{o} \quad v^{-1.66} \) \( 1.36 \mathrm{v} \) \( 0.34 \mathrm{V} \)
Subject: Maths
A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household.
\[
\begin{array}{llllll}
\text { Family } & 1- & 3- & 5- & 7- & 9- \\
\text { size } & 3 & 5 & 7 & 9 & 11
\end{array}
\]
Numbe of 7 familie
The mode of this data 3.286
A. True
B. False
Subject: Maths
If \( n(A)+n(B)=m, \) then the number
of possible bijections from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) is
\( \mathbf{A} \cdot\left(\frac{m}{2}\right) ! \)
в. \( m^{2} \)
\( c . m ! \)
D. \( 2 m \)
Subject: Chemistry
Assertion
The oxidation state of Cr in
\( A l_{2}\left(C r_{2} O_{7}\right)_{3} \) is +3
Reason
As a neutral compound, the sum of the oxidation numbers of all the atoms
must equal zero
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: Maths
\( \boldsymbol{n}(\boldsymbol{A})=\boldsymbol{4} \) and \( \boldsymbol{n}(\boldsymbol{B})=\mathbf{5}: \boldsymbol{n}(\boldsymbol{A} \times \boldsymbol{B})= \)
\( \mathbf{A} \cdot 20 \)
B. 10
c. 30
D. None of the above
Subject: Physics
A vessel, whose bottom has round holes
with diameter 0.1 mm, is filled with
water. The maximum height up to
which water can be filled without
leakage is
A. \( 100 \mathrm{cm} \)
B. \( 75 \mathrm{cm} \)
\( c .50 \mathrm{cm} \)
D. \( 30 \mathrm{cm} \)
Subject: Maths
\( \int_{1}^{3} \log x d x=\ldots \ldots\left(x>0 \in R^{+}\right) \)
A. \( -2+\log 27 \)
B. \( -2+\log 9 \)
c. \( 2+\log 27 \)
\( ^{\mathrm{D}} \cdot \log \left(\frac{27}{e}\right) \)