AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Clitellum of Pheretima is thick girdle
that is
A. Nonglandular around \( 14^{t h}-16^{t h} \) segments
B. Glandular around \( 14^{t h}-16^{t h} \) segments
C. Glandular around \( 16^{t h}-18^{t h} \) segments
D. Nonglandular around 16 \( ^{t h}-18^{t h} \) segnments
Subject: Maths
The solution of the differential equation \( \frac{d^{2} y}{d x^{2}}+3 y=-2 x \) is
A \( \cdot c_{1} \cos \sqrt{3} x+c_{2} \sin \sqrt{3} x-\frac{2}{3} x \)
B. \( c_{1} \cos \sqrt{3} x+c_{2} \sin \sqrt{3} x-\frac{4}{5} \)
\( \mathbf{c} \cdot_{c_{1} \cos \sqrt{3} x+c_{2} \sin \sqrt{3} x-2 x^{2}+\frac{4}{9}} \)
D. \( c_{1} \cos \sqrt{3} x+c_{2} \sin \sqrt{3} x-\frac{2}{3} x^{2}+\frac{4}{9} \)
Subject: Maths
If \( f(x)=x^{2}+\frac{x^{2}}{\left(1+x^{2}\right)}+\frac{x^{2}}{\left(1+x^{2}\right)^{2}}+ \)
\( \ldots+\frac{\mathbf{x}^{2}}{\left(1+\mathbf{x}^{2}\right)^{\mathbf{n}}}+\dots \)
then at \( x=0 \) which of the following is
correct?
A \( \cdot \mathrm{f}(\mathrm{x}) \) has no limit
B. \( f(x) \) is discontinuous
c. \( f(x) \) is continuous but not differentiable
D. \( f(x) \) is differentiable
Subject: Physics
The electric field at a distance \( 2 \mathrm{cm} \) from the centre of a hollow spherical conducting shell of radius \( 4 \mathrm{cm} \) having a charge of \( 2 \times 10^{-3} \mathrm{C} \) on its surface is :
This question has multiple correct options
A . \( 1.1 \times 10^{10} V / m \)
B . \( 4.5 \times 10^{-10} V / m \)
C \( .4 .5 \times 10^{10} V / m \)
D. zero
Subject: Maths
\( \operatorname{Let} f(x)=\sin ^{-1} \sin x+ \)
\( \cos ^{-1} \cos x, \quad g(x)= \)
\( m x \quad \) and \( \quad h(x)=x \) are three
functions. Now \( g(x) \) divided area
between \( \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{x}=\boldsymbol{\pi} \) and \( \boldsymbol{y}=\boldsymbol{0} \) into two
equal parts. The value of m is:
A \( \cdot \frac{1}{4} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{5}{4} \)
D. \( \frac{7}{4} \)
Subject: Physics
A tiny sphere of mass \( m \) and density \( \rho \) is dropped in a tall jar of glycerine of
density \( \sigma . \) When the sphere acquires terminal velocity, the magnitude of the viscous force acting on it is
A. \( \frac{m g \rho}{\sigma} \)
в. \( \frac{m g \sigma}{\rho} \)
c. \( m g\left(1+\frac{\rho}{\sigma}\right) \)
D \( \cdot m g\left(1-\frac{\sigma}{\rho}\right) \)
Subject: Chemistry
The number of atoms of \( C r \) and \( O \) in a
compound is \( 4.8 \times 10^{10} \) and \( 9.6 \times 10^{10} \)
respectively. Its empirical formula is :
A. \( C r_{2} O_{3} \)
в. \( C r O_{2} \)
\( \mathrm{c} \cdot \mathrm{Cr}_{2} \mathrm{O}_{4} \)
D. \( C r O_{5} \)
Subject: Physics
A man crosses a river in a boat. If he
crosses the river in minimum time he
takes 10 minutes with a drift \( 120 \mathrm{m} \). If he
crosses the river taking shortest path, he takes 12.5 minute, find
(i) width of the river,
(ii) velocity of the boat with respect to water, (iii) speed of
the current
Assume \( \boldsymbol{v}_{\boldsymbol{b} / \boldsymbol{r}}>\boldsymbol{v}_{\boldsymbol{r}} \)
Subject: Physics
The Young's modulus of a rubber string
\( 8 \mathrm{cm} \) long and density \( 1.5 \mathrm{kg} / \mathrm{m}^{3} \) is \( 5 \times \)
\( 10^{8} N / m^{2}, \) is suspended on the ceiling
in a room. The increase in length due to its own weight will be:-
A \( \cdot 9.6 \times 10^{-5} m \)
В. \( 9.6 \times 10^{-11} m \)
c. \( 9.6 \times 10^{-3} m \)
D. \( 9.6 \mathrm{m} \)
Subject: Physics
The relation between time and distance
of a moving body is \( t=5 x^{2}+7 x+8 \)
The acceleration of the body will be :
\( \mathbf{A} \cdot-10 v^{3} \)
B. \( -10 v^{2} \)
\( c \cdot 10 v^{3} \)
D. \( 10 v^{2} \)
Subject: Chemistry
The hybridization of atomic orbitals of
nitrogen in \( N O_{2}^{+}, N O_{3}^{-} \) and \( N H_{4}^{+} \) are:
A \( . s p, s p^{3} \) and \( s p^{2} \) respectively
B. \( s p, s p^{2} \) and \( s p^{3} \) respectively
\( \mathrm{c} \cdot s p^{2}, \mathrm{sp} \) and \( s p^{3} \) respectively
D. \( s p^{2}, s p^{3} \) and sp respectively
Subject: Chemistry
For a first order reaction \( \mathbf{A} \rightarrow \mathbf{P}, \) the
temperature (T) dependent rate constant \( (k) \) was found to follow the equation \( \log k=-(2000) \frac{1}{T}+6.0 \) The
pre-exponential factor \( \mathbf{A} \) and the
activation energy \( \mathbf{E}_{\mathbf{a}}, \) respectively, are:
A . \( 1.0 \times 10^{6} \mathrm{s}^{-1} \) and \( 9.2 \mathrm{kJmol}^{-1} \)
В. \( 1.0 \times 10^{6} \mathrm{s}^{-1} \) and \( 16.6 \mathrm{kJmol}^{-1} \)
C. \( 6.0 s^{-1} \) and 16.6 kJmol \( ^{-1} \)
D. \( 1.0 \times 10^{6} \mathrm{s}^{-1} \) and \( 38.3 \mathrm{kJmol}^{-1} \)
Subject: Biology
Assertion
Neural signals through sympathetic nerves can increases the strength of ventricular contraction
Reason
Parasympathetic neural signals synergistically act with sympathetic
neural signal to increase the cardiac
output.
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
IUPAC name of the compound is:
\( \boldsymbol{C H} \)
A. 6 -Chloro-4-ethyl-5-methyl hept-5-en-1-yne
B. 6-Chloro-4-ethyl-5-methyl hept-1-yn-Hne
c. 2-chloro-4-ethyl-3-methyl hept-2-en-6-yne
D. 2-Chloro-4-ethyl-3-methyl hept-4, 3-yn-2-ene
Subject: Maths
The sides of two squares are \( x \) and \( y \)
respectively, such that \( y=x+x^{2} \). The
rate of change of area of second square with respect to area of first square is
A. \( x^{2}+3 x-1 \)
B . \( 2 x^{2}-3 x+1 \)
c. \( 2 x^{2}+3 x+1 \)
D. \( 1+2 x \)
Subject: Maths
The ordered pair (a,b) such that \( f(x)= \) \( \left\{\begin{array}{ll}\frac{b e^{x}-\cos x-x}{x} & , x>0 \\ a & , x=0 \\ \frac{2 \tan ^{-1}\left(e^{x}\right)-\frac{\pi}{4}}{x} & , x<0\end{array}\right. \)
continuous at \( x-0 \) is
Subject: Chemistry
In which of the following cell \( (s): E_{c e l l}= \)
\( \boldsymbol{E}_{c e l l}^{o} ? \)
This question has multiple correct options
\( \mathbf{A} \cdot C u(s)\left|C u^{2+}(0.01 M) \| A g^{+}(0.1 M)\right| A g(s) \)
B. \( P t, H_{2}(g)|p H=1|\left|Z n^{2+}(0.01 M)\right| Z n(s) \)
\( \mathbf{c} \cdot P t, H_{a t m}(g)\left|p H=1 \| Z n^{2+}(1 M)\right| Z n(s) \)
D. \( P t, H_{2}(g)\left|H^{+}=0.1 M\right|\left|Z n^{2+}(0.01 M)\right| Z n(s) \)
Subject: Physics
We have the mass of bullet \( =\boldsymbol{m}_{1}= \)
\( 20 g(=0.02 k g) \) and the mass of the
pistol, \( \boldsymbol{m}_{2}=2 k g ; \) initial velocities of
the bullet \( \left(u_{1}\right) \) and pistol \( \left(u_{2}\right)=0 \) respectively. The final velocity of the
bullet, \( \boldsymbol{v}_{1}=+150 m s^{-1} . \) The direction of
bullet is taken from left to right (positive, by convention.) Let v be the recoil velocity of the pistol.
Subject: Maths
Find \( \boldsymbol{x}, \boldsymbol{y} \) if \( \left[\begin{array}{cc}\mathbf{0} & \mathbf{4} \\ \boldsymbol{x}^{2} & \boldsymbol{y}^{2}\end{array}\right]=\left[\begin{array}{ll}\mathbf{0} & \mathbf{4} \\ \boldsymbol{4} & \mathbf{9}\end{array}\right] \)
Subject: Chemistry
Identify the correct sequence of increasing number of \( \pi \) - bonds in the
structures of the following molecules:
I) \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{6} \)
II) \( \boldsymbol{H}_{2} \boldsymbol{S O}_{3} \)
III) \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{5} \)
A. \( I<I I<I I \)
в. \( I I<I I I<I \)
c. \( I I I<I I<I \)
D. II \( <I<I I I \)
Subject: Chemistry
The correct order for the wavelength of absorption in the visible region is:
\( \mathbf{A} \cdot\left[N i\left(N O_{2}\right)_{6}\right]^{4-}<\left[N i\left(N H_{3}\right)_{6}\right]^{2+}<\left[N i\left(H_{2} O\right)_{6}\right]^{2+} \)
B. \( \left[N i\left(N O_{2}\right)_{6}\right]^{4-}<\left[N i\left(H_{2} O\right)_{6}\right]^{2+}<\left[N i\left(N H_{3}\right)_{6}\right]^{2+} \)
\( ^{\mathbf{C}}\left[N i\left(H_{2} O\right)_{6}\right]^{2+}<\left[N i\left(N H_{3}\right)_{6}\right]^{2+}<\left[N i\left(N O_{2}\right)_{6}\right]^{4-} \)
D. \( \left[N i\left(N H_{3}\right)_{6}\right]^{2+}<\left[N i\left(H_{2} O\right)_{6}\right]^{2+}<\left[N i\left(N O_{2}\right)_{6}\right]^{4-} \)
Subject: Maths
Given that \( \cos 50^{\circ} 18^{\prime}= \)
0.6388 and \( \cos 50^{\circ} 42^{\prime}=0.6334, \) then
the possible value of \( \cos 50^{\circ} 20^{\prime} \) is
A . 0.6293
B. 0.6307
c. 0.636
D. 0.6414
Subject: Physics
The rupture of air medium occurs at
\( \boldsymbol{E}=\mathbf{3} \times \mathbf{1 0}^{\mathbf{6}} \boldsymbol{V} / \boldsymbol{m} . \) The maximum
charge that can be given to a sphere of diameter 5 m will be (in coulomb):
A \( .2 \times 10^{-2} \)
B . \( 2 \times 10^{-3} \)
c. \( 2 \times 10^{-4} \)
D. \( 2 \times 10^{-5} \)
Subject: Physics
The force that water exert on the base of
a house tank of base area \( 1.5 \mathrm{m}^{2} \) when it
is filled with water up to a height of \( 1 \mathrm{m} \)
if \( \left(g=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
A. 1200 kgwt
B. 1500 kgwt
c. 1700 kgwt
D. 2000 kgwt
Subject: Physics
A power (set up) transformer with an
1: 8 turn ratio has \( 60 H_{z}, 120 V \) across
the primary, the load in the secondary is \( 10^{4} \Omega . \) The current in the secondary is
A . \( 96 A \)
B. \( 0.96 A \)
\( \mathbf{c} .9 .6 A \)
D. 96 m \( A \)
Subject: Chemistry
Predict which of the following reaction will have appreciable concentration of reactants and products:
a) \( C l_{2}(g) \rightleftharpoons 2 C l(g) ; K_{c}=5 \times 10^{-39} \)
b) \( C l_{2}(g)+2 N O(g) \rightleftharpoons \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{O} \boldsymbol{C l}(\boldsymbol{g}) ; \boldsymbol{K}_{c}=\mathbf{3 . 7} \times \mathbf{1 0}^{\mathbf{8}} \)
c) \( C l_{2}(g)+2 N O_{2}(g) \rightleftharpoons \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2} \boldsymbol{C l}(\boldsymbol{g}) ; \boldsymbol{K}_{c}=\mathbf{1 . 8} \)
Subject: Chemistry
Which reducing agent is used for the following conversion?
\( \boldsymbol{R} \boldsymbol{C O O H} \rightarrow \boldsymbol{R} \boldsymbol{C H}_{2} \boldsymbol{O H} \)
A \( . \) Li \( A l H_{4} \)
в. \( N a B H_{4} \)
\( \mathbf{c} \cdot K_{2} C r_{2} O_{7} \)
D. \( K M n O_{4} \)
Subject: Maths
If \( f(x)=\frac{1}{x^{2}-17 x+66} \) then \( f\left(\frac{2}{x-2}\right) \)
is discontinuous at \( x \) is equal to
A \( \cdot \quad, \frac{7}{3}, \frac{25}{11} \)
в. \( 2, \frac{8}{3}, \frac{24}{11} \)
c. \( \quad_{2}, \frac{7}{3}, \frac{24}{11} \)
D. 2,6,11
Subject: Physics
Two particles \( P \) and \( Q \) move in a
straight line \( A B \) towards each other. \( P \)
starts from \( \boldsymbol{A} \) with velocity \( \boldsymbol{u}_{1}, \) and an
acceleration \( a_{1}, Q \) starts from \( B \) with
velocity \( u_{2} \) and acceleration \( a_{2} \). They
pass each other at the midpoint of \( \boldsymbol{A B} \)
and arrive at the other ends of \( A B \) with
equal velocities This question has multiple correct options
A \( \cdot \) They meet at midpoint at time \( t=\frac{2\left(u_{2}-u_{1}\right)}{a_{1}-a_{2}} \)
B. The length of path specified i.e. \( A B \) is \( l= \) \( \frac{4\left(u_{2}-u_{1}\right)\left(a_{1} u_{2}-a_{2} u_{1}\right)}{\left(a_{1}-a_{2}\right)^{2}} \)
C. They reach the other ends of \( A B \) with equal velocities if
\( \left(u_{2}+u_{1}\right)\left(a_{1}-a_{2}\right)=8\left(a_{1} u_{2}-a_{2} u_{1}\right) \)
D. They reach the other ends of \( A B \) with equal velocities if
\( \left(u_{2}-u_{1}\right)\left(a_{1}+a_{2}\right)=8\left(a_{2} u_{1}-a_{1} u_{2}\right) \)
Subject: Chemistry
Assertion
\( S O_{2} \) gas is easily liquefied while \( H_{2} \) is
not.
Reason
\( \boldsymbol{S} \boldsymbol{O}_{2} \) has low critical temperature while
\( \boldsymbol{H}_{2} \) has high critical temperature.
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
Equal volumes of two immiscible
liquids of densities \( \rho \) and \( 2 \rho \) are filled in
a vessel as shown in figure. Two small holes are punched at depth h/2 and 3h/2 from the surface of lighter liquid. If
\( V_{1} \) and \( V_{2} \) are the velocities of a flux at
these two holes, then \( V_{1} / V_{2} \) is :
\( A \)
B. \( \frac{1}{2} \)
\( c \cdot 1 \)
\( \overline{4} \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{f}(\boldsymbol{x}) \cdot \boldsymbol{f}(\boldsymbol{y}), \forall \boldsymbol{x}, \boldsymbol{y} \in \boldsymbol{R} \)
suppose that \( \boldsymbol{f}(\mathbf{3})=\mathbf{3}, \boldsymbol{f}^{\prime}(\mathbf{0})=\mathbf{1 1}, \) then
\( f^{\prime}(3) \) is given by
A .22
B. 44
c. 28
D. 33
Subject: Chemistry
Statement 1: Water boils below \( 100^{\circ} \mathrm{C} \)
at high altitudes. Statement 2: Atmospheric pressure varies inversely with altitude.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
B. Both the Statement 1 and Statement 2 are correct and Statement 2 is NOT the correct explanation of Statement 1.
c. statement 1 is correct but Statement 2 is not correct.
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement 1 and Statement 2 are not correct
Subject: Physics
A spring of spring constant \( 5 \times 10^{3} \mathrm{Nm}^{-1} \)
is stretched initially by \( 5 c m \) from the unstretched position. Then the work required to stretch it further by another
\( 5 c m \) is
A. \( 6.25 N m \)
B . \( 12.50 \mathrm{Nm} \)
c. \( 18.75 N m \)
D. \( 25.00 N m \)
Subject: Physics
How will you design a shaving mirror
assuming that a person keeps it \( 10 \mathrm{cm} \) from his face and view the magnified image of the face of the closest
comfortable distance of \( 25 \mathrm{cm} \). The
radius of curvature of the mirror would
then be:
\( \mathbf{A} \cdot 24 \mathrm{cm} \)
B. \( -60 c m \)
\( c .-24 c m \)
D. \( 30 \mathrm{cm} \)
Subject: Maths
If a is A symmetric matrix and B is a skew symmetric matrix such that \( \boldsymbol{A}+ \) \( B=\left[\begin{array}{cc}2 & 3 \\ 5 & -1\end{array}\right], \) then \( A B \) is equal to?
A. \( \left[\begin{array}{ll}-4 & 2 \\ 1 & 4\end{array}\right] \)
B. \( \left[\begin{array}{cc}-4 & -2 \\ -1 & 4\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}4 & -2 \\ -1 & -4\end{array}\right] \)
D. \( \left[\begin{array}{ll}4 & -2 \\ 1 & -4\end{array}\right] \)
Subject: Chemistry
At \( 27^{\circ} \mathrm{C}, \) the combustion of ethane
takes place according to the reaction
\[
\begin{array}{c}
C_{2} H_{6}(g)+\frac{7}{2} O_{2}(g) \rightarrow 2 C O_{2}(g)+ \\
3 H_{2} O(l)
\end{array}
\]
\( \Delta E-\Delta H \) for this reaction at \( 27^{\circ} \mathrm{C} \) will
be:
A \( .+1247.1 \mathrm{J} \)
B. - 1247.1
c. - 6235.5 J
D . +6235.5 J
Subject: Physics
1 amu is equal to
A \( \cdot 1.67 \times 10^{-27} k g \)
В. \( 1.67 \times 10^{27} k g \)
c. \( 1.67 \times 10^{-37} k g \)
D. \( 1.67 \times 10^{37} k g \)
Subject: Maths
\( \mathbf{3} \quad \mathbf{5} \quad \mathbf{7} \quad \mathbf{9} \quad \mathbf{1 1} \) \( \boldsymbol{x}_{\boldsymbol{i}} \)
\( f_{i} \)
\( i \) \( 6 \quad 8 \quad 15 \quad 25 \quad 8 \) Find the Mean Deviation (M.D) about the
mean
\( \mathbf{A} \cdot 2.1 \)
B . 2.25
c. 2.09
D. 2.71
Subject: Maths
Find solution of following inequality, also show it graphically:
\( \boldsymbol{x}-\mathbf{5} \geq-\mathbf{7}, \boldsymbol{x} \in \boldsymbol{Z} \)
\( A \)
\begin{tabular}{lllllll}
\hline-2 & -1 & 0 & 1 & 2 & 3
\end{tabular}
B.
\( \quad-3 \quad-2-1 \quad 0 \quad+\quad \bullet \quad \longrightarrow \rightarrow \)
\( \quad-3 \quad-1 \quad 0 \quad 1 \quad 2 \quad 3 \quad 4 \)
\( c \)
\begin{tabular}{ccccccc} 
& & & & & \( \rightarrow \) & \( \rightarrow \) \\
\hline-2 & -1 & 0 & 1 & 2 & 3 & 4
\end{tabular}
\( D \)
\begin{tabular}{rrrrrr}
\hline & 1 & 1 & 1 & & & 1 \\
-2 & -1 & 0 & 1 & 2 & 3
\end{tabular}
Subject: Chemistry
Consider the above sequence and
answer the following
Conversion \( \left(\boldsymbol{C H}_{3}-\boldsymbol{C H}_{3} \Rightarrow \boldsymbol{C H}_{3}-\right. \)
\( \left.C H_{2}-O H\right) \Rightarrow \) alcohol is achieved by:
A. \( B r_{2} / h v, \) alc. KOH
в. \( B r_{2} / h v, \) ая.КОН
c. \( B r_{2} / C C L_{4}, L i A l H_{4} \)
D. \( B r_{2} / C C l_{4}, N a B H_{4} \)
Subject: Biology
In fungi, sporangiospores and ascospores are found in bag-like
structures but are always present in
even numbers. These spore types are not same because
A. They are basically the same, but the sporangiospores are always larger.
B. Ascospores are formed as a result of meiosis, while sporangiospores are a result of mitosis
c. Sporangiospores are produced by sexual recombination, while ascospores are produced asexually.
D. They are basically the same, but ascospores are always larger.
E. The structure are the same, but they were named differently before they were determined to have the same function
Subject: Maths
\[
\begin{aligned}
\operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=&\{\boldsymbol{x}+\boldsymbol{\lambda}, \boldsymbol{x}<1\\
& \boldsymbol{2} \boldsymbol{x}-\boldsymbol{3}, \boldsymbol{x} \geq 1, \text { if } \lim _{\boldsymbol{x} \rightarrow 1} \boldsymbol{f}(\boldsymbol{x})
\end{aligned}
\]
exists, then find value of \( \lambda \)
Subject: Maths
The \( (\boldsymbol{A} \cup \boldsymbol{B} \cup \boldsymbol{C}) \cap\left(\boldsymbol{A} \cap \boldsymbol{B}^{C} \cap \boldsymbol{C}^{C}\right)^{C} \cap \)
\( C^{c} \) is equal to
\( \mathbf{A} \cdot B^{C} \cap C^{C} \)
в. \( A \cap C \)
\( c \cdot B \cap C^{c} \)
D. \( C \cap C^{c} \)
Subject: Physics
An ideal inductor takes a current of \( 10 A \)
when connected to a \( 125 V, 50 H z A C \)
supply. A pure resistor across the same
source takes 12.5 A. If the two are
connected in series across a \( 100 \sqrt{2} V \)
\( 40 H z \) supply, the current through the circuit will be
\( \mathbf{A} \cdot 10 A \)
B. \( 12.5 A \)
\( c .20 A \)
D. \( 25 A \)
Subject: Chemistry
Which metal sulphide has maximum solubility in water?
A \( \cdot \operatorname{CdS}\left(K_{s p}=36 \times 10^{-30}\right) \)
B . \( \operatorname{Fe} S\left(K_{s p}=11 \times 10^{-20}\right) \)
C. \( \operatorname{Hgs}\left(K_{s p}=32 \times 10^{-54}\right) \)
D. \( Z n S\left(K_{s p}=11 \times 10^{-22}\right) \)
Subject: Physics
Match the following
List -1 List - II
Frictional
e. Zero
\( a \)
force
b. Gravitational force \( \quad \) Electromagnetic force
c. When a body on rough inclined plane is just g. \( m g \sin \theta \) to move, then the net force acting on the body is
d. The force acting on a body \( \quad \) h. conservative placed on a smooth Ion a smooth inclined plane is
The correct match is
\( \mathbf{A} \cdot a \rightarrow h ; b \rightarrow f ; c \rightarrow g ; d \rightarrow e \)
\( \mathbf{B} \cdot a \rightarrow f ; b \rightarrow h ; c \rightarrow e ; d \rightarrow g \)
\( \mathbf{C} \cdot a \rightarrow e ; b \rightarrow g ; c \rightarrow f ; d \rightarrow h \)
\( \mathbf{D} \cdot a \rightarrow g ; b \rightarrow e ; c \rightarrow h ; d \rightarrow f \)
Subject: Chemistry
For a given reaction, energy of
activation for forward reaction \( \left(\boldsymbol{E}_{\boldsymbol{a f}}\right) \) is \( 80 k J . m o l^{-1} . \Delta H=-40 k J . m o l^{-1} \) for
the reaction. A catalyst lowers \( E_{a f} \) to
20k \( J . \) mol \( ^{-1} \). The ratio of energy of
activation for reverse reaction before
and after addition of catalyst is :
A . 1.0
B. 0.5
\( c \cdot 1.2 \)
D. 2.0
Subject: Physics
A light is travelling from air into a medium. Velocity of light in a medium is reduced to 0.75 times the velocity in
air. Assume that angle of incidence 'i' is
very small, the deviation of the ray is
\( \mathbf{A} \cdot i \)
B. \( \frac{i}{3} \)
\( c \cdot \frac{i}{4} \)
D. \( \frac{3 i}{4} \)
Subject: Chemistry
\( H_{2} S, \) a toxic gas with rotten egg like smell, is used for the qualitative
analysis. If the solubility of \( H_{2} S \) in water at STP is \( 0.195 \mathrm{m} \), Calculate Henry's law constant.
A. 282.0 bar
B. 324.8 bar
c. 462.9 bar
D. 534.8 bar
Subject: Physics
State whether the given statement is
True or False :

A block of mass \( M \) is hanging over a smooth and light pulley through a light string. The other end of the string is pulled by a constant force \( \boldsymbol{F} \). The kinetic
energy of the block increases by \( 40 \mathrm{J} \) in
1 \( s . \) The tension in the string is \( F \)
A . True
B. False
Subject: Maths
If \( A \) is a square matrix, \( B \) is a singular
matrix of same order, then for a positive integer \( n,\left(A^{-1} B A\right)^{n} \) equals
\( \mathbf{A} \cdot A^{-n} B^{n} A^{n} \)
B \( \cdot A^{n} B^{n} A^{-n} \)
c. \( A^{-1} B^{n} A \)
D. \( n\left(A^{-1} B A\right) \)
Subject: Chemistry
\( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}(\boldsymbol{C} \boldsymbol{N})_{2}\right] \) is the empirical
formula of a compound which has a
magnetic moment corresponding to \( 2 \frac{2}{3} \) unpaired electrons per iron. The best possible formula of the compound is
\( \mathbf{A} \cdot\left[F e\left(H_{2} O\right)_{6}\right] 2\left[F e(C N)_{6}\right. \)
B . \( \left[F e\left(H_{2} O_{6}\right)\right]\left[F e\left(H_{2} O\right)_{2}(C N)_{4}\right] \)
C \( \cdot\left[F e\left(H_{2} O\right)_{4}(C N)_{2}\right]_{2}\left[F e\left(H_{2} O\right)_{4}(C N)_{2}\right. \)
D. None of these
Subject: Physics
Assertion
Acceleration of charged particle in nonuniform electric field does not depend on velocity of charge particle.
Reason
Charge is an invariant quantity. That is amount of charge on particle does not depend on frame of reference.
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
A bulb of unknown volume V contains a
gas at 1 atm pressure. This bulb was
connected to another evacuated bulb of
volume \( 0.5 \mathrm{L} \) through a stop cock. When the stop cock was opened, the pressure
at each bulb becomes \( 7.58 \times 10^{4} \) Pa
mm while the temperature remained constant. Calculate V in litres.
Subject: Physics
Assertion
Two identical blocks are placed over a
rough inclined plane. One block is given
an upward velocity and the other in downward direction. If \( \mu=\frac{1}{3} \) and \( \theta= \)
\( 30^{\circ} \) the ratio of magnitudes of
accelerations of two blocks is 2: 1
Reason
The desired ratio is \( \frac{1+\mu}{1-\mu} \)
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
Is the following statement True or False?
\( (\boldsymbol{A}-\boldsymbol{B}) \cup(\boldsymbol{B}-\boldsymbol{A})=(\boldsymbol{A} \cup \boldsymbol{B}) \cap \)
\( \left(A^{\prime} \cup B^{\prime}\right) \)
If True then write answer as 1
If False then write answer as 0
Subject: Maths
A curve passing through the point (1,1) is such that the intercept made by a tangent to it on \( x \) -axis is three times the
x co-ordinate of the point of tangency, then the equation of the curve is:
A \( \cdot y=\frac{1}{x^{2}} \)
в. \( y=\sqrt{x} \)
c. \( y=\frac{1}{\sqrt{x}} \)
D. none
Subject: Physics
A square loop \( A B C D \) carrying a
current \( i, \) is placed near and coplanar
with a long straight conductor \( \boldsymbol{X} \boldsymbol{Y} \)
carrying a current \( I, \) the net force on the
loop will be:
A \( \cdot \frac{2 \mu_{0} I i}{3 \pi} \)
B. \( \frac{\mu_{0} I i}{2 \pi} \)
c. \( \frac{2 \mu_{0} \text { Ii } L}{3 \pi} \)
D. \( \frac{\mu_{0} I i L}{2 \pi} \)
Subject: Physics
In a fresnel's bi-prism experiment, the
refracting angles of the prism were \( 2.5^{\circ} \) and the refracting index of the glass was \( 1.5 . \) With the single slit \( 10 \mathrm{cm} \) from the bi-prism ,fringes were formed on a screen \( 1 \mathrm{m} \) from the single slit. The fringe width is \( 0.1375 \mathrm{mm} \). The wavelength of light is
A. 600 nm
B. 1200 nm
c. \( 60 A^{\circ} \)
D. 120 A