AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Assertion
Any physical system when disturbed will execute simple harmonic motion.
Reason

For executing SHM, the system must have elasticity and inertia.
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
The emf induced between \( M \) and \( Q \) if
the potential between \( P \) and \( Q \) is \( 100 V \)
\( M \) is midpoint of \( \boldsymbol{P} \) and \( \boldsymbol{Q} \)
A . \( 25 V \)
в. \( 50 V \)
\( c .75 V \)
D. \( 100 V \)
Subject: Physics
Mr. Verma (50 \( K g \) ) and Mr. Mathur \( (60 K g) \) are sitting at the two extremes
of a \( 4 m \) long boat \( (40 K g) \) standing still in water. To discuss a mechanics
problem, they come to the middle of the boat. Neglecting friction with water, how far does the boat move in the water
during the process:
A \( .40 / 3 c m \)
в. \( 20 / 3 \) ст
c. \( 10 / 3 c m \)
D. \( 10 \mathrm{cm} \)
Subject: Maths
If for all \( x, y \) the function \( f \) is defined by
\( \boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\boldsymbol{y})+\boldsymbol{f}(\boldsymbol{x}) \cdot \boldsymbol{f}(\boldsymbol{y})=1 \) and
\( \boldsymbol{f}(\boldsymbol{x})>\mathbf{0}, \) then
A \( \cdot f^{\prime}(x) \) does not exist
B \( \cdot f^{\prime}(x)=0 \) for all \( x \)
c. \( f^{\prime}(0)<f^{\prime}(1) \)
D. None of these
Subject: Maths
Write the degree of the differential
equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}+\boldsymbol{x}\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{2}= \)
\( 2 x^{2} \log \left(\frac{d^{2} y}{d x^{2}}\right) \)
Subject: Biology
Assertion
Respiratory pathway is considered as an amphibolic pathway.
Reason
It involves both anabolism and
catabolism.
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
The total possible coordination isomers
for the following compounds respectively are:
\( \left.\left[\boldsymbol{C o}(\boldsymbol{e n})_{3}\right][\boldsymbol{C r}) \boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3} \)
\( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]\left[\boldsymbol{C u} \boldsymbol{C l}_{4}\right] \)
\( \left[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{e n})_{3}\right]\left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)_{6}\right] \)
\( A \cdot 4,4,4 \)
B. 2, 2, 2
\( c \cdot 2,2,4 \)
D. 4, 2, 3
Subject: Physics
A heater is designed to operate with a
power of \( 1000 W \) in a \( 100 V \) line. It is
connected in combination with a
resistance of \( 10 \Omega \) and a resistance \( R \)
to a \( 100 \mathrm{V} \) mains as shown in the
figure. What will be the value of \( R \) so
that the heater operates with a power of
\( \mathbf{6 2 . 5} \boldsymbol{W} ? \)
A . \( 15 \Omega \)
B. \( 10 \Omega \)
\( c .5 \Omega \)
D. \( 25 \Omega \)
Subject: Physics
Capacity of a parallel plate condenser is \( 10 \mu F \) when the distance between its
plates is \( 8 \mathrm{cm} \). If the distance between the
plates is reduced to \( 4 \mathrm{cm} \), its capacity will
be:
A. \( 10 \mu F \)
B. \( 15 \mu F \)
c. \( 20 \mu F \)
D. \( 40 \mu F \)
Subject: Maths
The height of an equilateral triangle of side 'a' is given by
A \( \cdot \frac{a \sqrt{2}}{2} \)
B. \( \frac{a \sqrt{3}}{2} \)
c. \( \frac{a \sqrt{3}}{4} \)
D. \( \frac{a \sqrt{2}}{3} \)
Subject: Maths
Which of the following are APs?
This question has multiple correct options
\( \mathbf{A} \cdot 2.4,8,16, \ldots \)
B. \( 2, \frac{5}{2}, 3, \frac{7}{2}, \ldots \)
C \( .-1.2,-3.2,-5.2,-7.2, \ldots \)
D. \( -10,-6,-2,2, \ldots \)
E \( .3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2}, \ldots \)
F. \( 0.2,0.22,0.222,0.2222, \ldots . \)
G. \( 0,-4,-8,-12, \dots \)
\( \mathrm{H} \cdot-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \ldots \)
Subject: Chemistry
The cell EMF is independent of the
concentration of the species of the cell
in:
A \( \cdot \operatorname{Fe}^{\ominus}|\operatorname{KOH}(a q)| N i O(s)\left|N i_{2} O_{3}(s)\right| N i \)
B \( \cdot P t\left|\left(H_{2}\right)\right| H C l \mid\left(C l_{2}\right) P t \)
\( \mathbf{c} \cdot Z n\left|Z n^{2+} \| C u^{2+}\right| C u \)
D. \( H g, H g_{2} C l_{2}\left|K C l \| A g N O_{3}\right| A g \)
Subject: Physics
A steel wire of \( 2 m m \) in diameter is
stretched by applying a force of \( 72 N \)
Stress in the wire is
A \( \cdot 2.29 \times 10^{7} N / m^{2} \)
B. \( 1.17 \times 10^{7} N / m^{2} \)
\( c \)
\( 3.6 \times 10^{7} N / m^{2} \)
D. \( 0.8 \times 10^{7} N / m^{2} \)
Subject: Physics
Coefficient of linear expansion of a crystal in 3 mutually perpendicular directions are \( 8.5 \times 10^{-6} /^{o} C, 10.5 \times \)
\( 10^{-6} /^{o} C, 11 \times 10^{-6} /^{o} C . \) If mass of
crystal is \( 25 g m, \) its volume at \( 60^{\circ} C \) is (given density at \( 0^{\circ} C \) is 5 gm \( / c c \) ):
A. 5.009 cc
B. 4.991 cc
c. \( 5.9 \mathrm{cc} \)
D. 5.999 cc
Subject: Maths
The set of values of \( p \) for which the roots
of the equation \( 3 x^{2}+2 x+p(p-1)= \)
0 are of opposite sign is
\( A \cdot(-\infty, 0) \)
B. (0,1)
c. \( (1, \infty) \)
D. \( (0, \infty) \)
Subject: Maths
\( \lim _{n \rightarrow \infty} \frac{2^{3}-1^{3}}{2^{3}+1^{3}} \cdot \frac{3^{3}-1^{3}}{3^{3}+1^{3}} \cdots \frac{n^{3}-1}{n^{3}+1} \)
equals
A \( \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
c.
D.
Subject: Chemistry
The radius of the first Bohr orbit of hydrogen atom is 0.59 , the radius of
the third orbit of \( \boldsymbol{H} \boldsymbol{e}^{+} \) will be:
\( \mathbf{A} \cdot 8.46 \stackrel{\circ}{A} \)
в. 0.705 А
\( \mathbf{c} \cdot_{1.59 A}_{A}^{\circ} \)
D \( \cdot 2.38 \stackrel{\circ}{A} \)
Subject: Physics
A bar magnet of magnetic moment \( 1.2 A m^{2} \) is placed in the magnetic
meridian with its south pole pointing the
north. If a neutral point is found at a
distance of \( 20 \mathrm{cm} \) from the centre of the
magnet, the value of the horizontal
component of the earth's magnetic field
is
\( \mathbf{A} \cdot 3 \times 10^{-5} T \)
B \( .3 \times 10^{-4} T \)
\( \mathbf{c} \cdot 3 \times 10^{3} T \)
D. \( 3 \times 10^{-3} T \)
Subject: Maths
If \( A, B, C, D \) be any four points and \( E \) and \( F \) be the mid-points of \( A C \) and \( B D \) respectively, then \( \overrightarrow{\boldsymbol{A B}}+\overrightarrow{\boldsymbol{C B}}+\overrightarrow{\boldsymbol{C D}}+ \)
\( \overrightarrow{A D} \) is equal to
A \( .3 \overrightarrow{E F} \)
B. \( 4 \overrightarrow{E F} \)
c. \( 4 \overrightarrow{F E} \)
D. \( 3 \overrightarrow{F E} \)
Subject: Chemistry
With reference to Valence Bond Theory in coordination compounds which of the following statements is/are, correct?
I. VBT does not explain the colour exhibited by co-ordination compounds.
II. VBT explains and gives a quantitative interpretation of magnetic data.
III. VBT does not distinguish between weak field ligand and strong field ligand.
A . ।, ॥, ॥
B. ।, ॥
c. ॥, ॥
D. ।, II
Subject: Physics
An electron (of mass \( \mathrm{m} \) ) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is \( (c= \) speed of light in vacuum)
\( ^{A} \cdot \frac{1}{c}\left(\frac{E}{2 m}\right)^{1 / 2} \)
B \( \cdot c(2 m E)^{1 / 2} \)
\( c \)
\[
\left(\frac{E}{2 m}\right)^{1 / 2}
\]
D \( \frac{1}{c}\left(\frac{2 E}{m}\right)^{1 / 2} \)
Subject: Physics
The unit of length convenient on the nuclear scale is a fermi : \( 1 \mathrm{f}=10^{-15} \mathrm{m} \)
Nuclear sizes obey roughly the following empirical relation \( : r=r_{0} A^{1 / 3} \)
where, \( r \) is the radius of the nucleus, \( A \)
its mass number, and \( r_{o} \) is a constant
equal to about \( 1.2 \mathrm{f} \). Show that the rule implies that nuclear mass density is nearly constant for different nuclei Estimate the mass density of sodium
nucleus.
Subject: Maths
If \( f(x)=x^{2}-x+5, x>\frac{1}{2}, \) and \( g(x) \) is
its inverse function, then \( g^{\prime}(7) \) equals:
A. \( -\frac{1}{3} \)
в. \( \frac{1}{13} \)
c. \( \frac{1}{3} \)
D. \( -\frac{1}{13} \)
Subject: Chemistry
\( 14.2 \mathrm{g} N a_{2} S O_{4} \) is present in \( 10^{2} \mathrm{kg} \)
water. Its concentration in ppm is:
A. 10 ppm
B. 100 ppm
c. 142 ppm
D. \( 14.2 \mathrm{ppm} \)
Subject: Chemistry
For a chemical reaction \( \boldsymbol{A} \rightarrow \) products
the rate of disappearance of \( \boldsymbol{A} \) is given
by:
\( \frac{-d C_{A}}{d t}=\frac{K_{1} C_{A}}{1+K_{2} C_{A}} \) at low \( C_{A} \) the
reaction is of the .......order with rate
constant. (Assume \( K_{1}, K_{2} \) are lesser
than \( 1) \)
Subject: Maths
When a coin is tossed in an experiment, the result is either a head or a tail. A
head is given a point value of 1 and \( a \) tail is given a point value of \( -1 . \) If the sum of the point values after 50 tosses
is \( 14, \) how many of the tosses must
have resulted in heads?
A . 14
B. 18
c. 32
D. 36
E. 39
Subject: Physics
If the time and displacement of particle along the positive X-axis are related as \( \boldsymbol{t}=\left(\boldsymbol{x}^{2}-\mathbf{1}\right)^{\frac{1}{2}}, \) then find the
acceleration in terms of \( x \)
A \( \cdot \frac{1}{x^{4}} \)
в. \( \frac{1}{x^{7}} \)
c. \( \frac{1}{x} \)
D. \( \frac{1}{x^{3}} \)
Subject: Maths
\( \left|\begin{array}{lll}\boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} \\ \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c}\end{array}\right|=\boldsymbol{K}\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right| \)
\( \operatorname{then} K= \)
\( A \)
B. 2
\( c \)
\( D \)
Subject: Chemistry
How are the following conversions carried out?
(i) Propene \( \longrightarrow \) Propan-2-ol
(ii) Benzyl chloride \( \longrightarrow \) Benzyl alcohol
(iii) Ethyl magnesium chloride \( \longrightarrow \) Propan-1-ol
(iv) Methyl magnesium bromide \( \longrightarrow 2 \) Methylpropan-2-ol
Subject: Chemistry
The unit of specific conductivity is:
\( \mathbf{A} \cdot \operatorname{oh} m^{-1} c m^{-1} \)
В. ohm \( \mathrm{cm}^{-2} \)
\( \mathbf{c} \cdot \) ohm \( ^{-1} c m \)
D. ohm \( \mathrm{cm} \)
Subject: Chemistry
We have two solutions, one is 1 L of 0.1 M
NaCl and the other is 2 L of 0.2 M
\( \mathrm{CaCl}_{2} . \) Using only these two solutions,
a solution of \( 2.5 L \) volume can be
prepared which has \( \left[\boldsymbol{C l}^{-}\right]=\mathbf{0 . 3 4} \boldsymbol{M} \)
Calculate the osmotic pressure of the
solution prepared. Given: \( \boldsymbol{t}=\mathbf{3 0 0} \boldsymbol{K},(\boldsymbol{R}= \)
\( \left.\mathbf{0 . 0 8 2} \boldsymbol{L} \boldsymbol{a t m} \boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \)
A. 10.8 atm
B. 12.8 atm
\( c .5 .6 \) atm
D. None of these
Subject: Chemistry
Which process is not involved in the
reaction?
\( \boldsymbol{K} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{C} \boldsymbol{O}_{2} \rightarrow \boldsymbol{K} \boldsymbol{H} \boldsymbol{C} \boldsymbol{O}_{3}+\boldsymbol{O}_{2} \)
A. Hydrolysis
B. Auto-redox
c. Acid-base reaction
D. Non redox change
Subject: Physics
An air bubble of radius r rises from the
bottom of a tube of depth H. When it
reaches the surface, its radius becomes
3r. What is the atmospheric pressure in terms of height of water column?
A \( \cdot \frac{H}{2} \)
в. \( \frac{H}{4} \)
c. \( \frac{H}{8} \)
D. \( \frac{H}{26} \)
Subject: Chemistry
Which of the following will have the largest value of solubility product, or is most soluble in water?
A \( \cdot \operatorname{Be}(O H)_{2} \)
в. \( B a(O H)_{2} \)
c. \( \operatorname{Ca}(O H)_{2} \)
D. \( M g(O H)_{2} \)
Subject: Physics
A charged particle travels along the
inside of a straight hollow tube 2.0 metre long. The particle is uniformly accelerated. What is the time spent by the particle in the tube if it enters at a
speed of \( 1000 \mathrm{m} \) s and leaves at 9000 \( \mathrm{m} / \mathrm{s} \)
A \( \cdot 2 \times 10^{-4} \) seconds
B. \( 5 \times 10^{-4} \) seconds
c. \( 4 \times 10^{-4} \) seconds
D. 2.5 \( \times 10^{-4} \) seconds
Subject: Physics
on a rough horizontal surface and has
inner radius \( r \) and outer radius \( \mathrm{R} \). The
angle \( \theta \) between the applied force and
the horizontal can be varied. The critical
angle \( (\theta) \) for which the spool does not
roll and remains stationary is given by :
\( ^{\mathbf{A}} \cdot_{\theta}=\cos ^{-1}\left(\frac{r}{R}\right) \)
B. \( \theta=\cos ^{-1}\left(\frac{2 r}{R}\right) \)
\( ^{\mathrm{C}} \theta=\cos ^{-1} \sqrt{\frac{r}{R}} \)
" \( \quad \theta=\sin ^{-1}\left(\frac{r}{R}\right) \)
Subject: Maths
If \( g(x)=7 x^{2} e^{-x^{2}} \forall x \in R, \) then \( g(x) \) has
This question has multiple correct options
A. local maximum at \( x=0 \)
B. local minima at \( x=0 \)
c. local maximum at \( x=1 \)
D. two local maxima and one local minima
Subject: Chemistry
What is the pH of a solution made by
mixing \( 100.0 \mathrm{mL} \) of \( 0.10 \mathrm{M} H N O_{3}, 50.0 \)
mL of \( 0.20 \mathrm{HCl} \) and \( 100.0 \mathrm{mL} \) of water?
Assume that the volumes are additive.
A . 2.7
B. 1.10
c. 3.50
D. 1.5
Subject: Maths
Find the area of a quadrilateral whose sides are \( A B=3 c m, B C=4 c m \)
\( C D=6 c m \) and \( D A=5 \mathrm{cm} \) and
diagonal \( \boldsymbol{A C}=\mathbf{5} \boldsymbol{c m} \)
\( \mathbf{A} \cdot 16 \mathrm{cm}^{2} \)
B. \( 18 \mathrm{cm}^{2} \)
\( c \cdot 20 c m^{2} \)
D. \( 22 \mathrm{cm}^{2} \)
Subject: Physics
What is the work done by a force of \( 2 \mathrm{N} \) in displacing a body by \( 2 \mathrm{m} \) in the direction of the force?
A \( \cdot 4 J^{2} \)
в. \( 6 J \)
c. \( 4 J \)
D. \( 48 J \)
Subject: Maths
If the equation \( a x^{2}+b x+c=0 \)
\( a, b, c \in R \) have non-real roots, then
This question has multiple correct options
A \( \cdot c(a-b+c)>0 \)
B. \( c(a+b+c)>0 \)
c. \( c(4 a-2 b+c)>0 \)
D. None of the above
Subject: Maths
If \( 0<x<y, \) then the positive square
root of \( \boldsymbol{x}+\boldsymbol{y}-\boldsymbol{2} \sqrt{\boldsymbol{x} \boldsymbol{y}} \) is
\( \mathbf{A} \cdot \sqrt{x}+\sqrt{y} \)
В. \( \sqrt{x}-\sqrt{y} \)
c. \( \sqrt{y}-\sqrt{x} \)
D. \( -\sqrt{x}-\sqrt{y} \)
Subject: Chemistry
If a solution of mercuric cyanide containing 3 g per litre has an osmotic pressure \( 3.092 \times 10^{4} N m^{-2} \) at \( 298 \mathrm{K} \)
the degree of dissociation of mercuric
cyanide is (Atomic mass of \( \boldsymbol{H} \boldsymbol{g}= \)
\( \left.200.6 g m o l^{-1}\right)(\text {write only integer part }) \)
Subject: Chemistry
An experiment is conducted to fully
oxidize a sample of magnesium ribbon.
Which factor would do the most to
make the reaction proceed more
quickly?
A. Vigorous heating of the reaction vessel
B. Addition of carbon dioxide to the reaction vessel.
C. Removal of oxygen from the reaction vessel.
D. Carefully folding the magnesium sample into a small, cubic shape.
E. Addition of nitrogen gas the the reaction vessel.
Subject: Physics
A sample of an ideal gas occupies a volume \( V \) at pressure \( P \) and absolute temperature T. The mass of each molecule is m. The equation for density is
\( \mathbf{A} \cdot m K T \)
в. \( \frac{P}{K T} \)
c. \( \frac{P}{K T V} \)
D. \( \frac{P m}{K T} \)
Subject: Physics
A conductor ABOCD moves along its
bisector with a velocity of \( 1 \mathrm{ms}^{-1} \) through a perpendicular magnetic field
of \( 1 \mathrm{Wbm}^{-2} \), as shown in the figure. If all
the four sides are of \( 1 \mathrm{m} \) length each,
then the induced emf between point \( A \)
and D is :
A. zero
в. 1.41
\( c \cdot 0.71 v \)
D. none of the above
Subject: Physics
Assertion
Lenz's law violates the principle of conservation of energy.
Reason
Induced emf always opposes the change in magnetic flux responsible for
its production.
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
Complete the following chemical reactions
(b) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C l}+\boldsymbol{K} \boldsymbol{C N} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} \)
\( (c) C H_{3}-C H=C H_{2}+H I \rightarrow \)
(d) \( C H_{3}-C H_{2}-O H+N a B r+ \)
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \)
(a) 0 \( \mathrm{Cl}+\mathrm{CH}_{3}-\mathrm{cl} \) anhydrous \( \mathrm{AlCl}_{3} \)
Subject: Physics
A radio nuclide \( A_{1} \) with decay constant
\( \lambda_{1} \) transforms into a radio nuclide \( A_{2} \)
with decay constant \( \lambda_{2} \). Assuming that at the initial moment, the preparation
contained only the radio nuclide \( \boldsymbol{A}_{\mathbf{1}} \)
(a) Find the equation describing
accumulation of radio nuclide \( A_{2} \) with
time.
(b) Find the time interval after which
the activity of radio nuclide \( A_{2} \) reaches
its maximum value.
Subject: Maths
Read the following statements
(a) \( x^{2}-5 x+\sqrt{2} \) is a polynomial in \( x \)
(b) \( 4 x^{2}-3 \sqrt{x}+7 \) is not a polynomial
in \( x \)
(c) \( \frac{x^{2}+2 x+5}{x+3}(x \neq-3) \) is a rational
expression.
(d) \( \frac{x^{3}-5 \sqrt{x}-1}{x^{2}+x+4} \) is not a rational expression.
Correct options is -
A . acd
B. abc
\( c \cdot a b d \)
D. abcd
Subject: Chemistry
3 Faradays of electricity was passed through an aqueous solution of iron
\( (I I) \) bromide. The weight (in \( g \) ) of iron metal (atomic weight \( =\mathbf{5 6} \) amu) deposited at the cathode is:
A . 56
B. 84
\( c \cdot 112 \)
D. 168
Subject: Chemistry
The shortest and longest wave number in \( \mathrm{H} \) spectrum of Lyman series is \( (\mathrm{R}= \) Rydberg constant):
A \( \cdot \frac{3}{4} \) R, R
в. \( \frac{1}{R}, \frac{4}{3}, \) R
c. \( _{R, \frac{4}{3} R} \)
D. \( _{R,} \frac{3}{4} R \)
Subject: Chemistry
At \( 400 \mathrm{K} \), the root mean square (r.m.s) speed of a gas \( \mathrm{X} \) (molecular weight \( = \)
40 ) is equal to the most probable speed of gas \( Y \) at 60 K. The molecular weight of
the gas Y is:
\( A \cdot 3 \)
B. 4
c. 10
D.
Subject: Physics
Two equations are given below:
A) \( \oint \overline{\boldsymbol{E}} \cdot \boldsymbol{d} \overline{\boldsymbol{A}}=\frac{\boldsymbol{Q}}{\boldsymbol{E}_{0}} \)
B) \( \oint \overline{\boldsymbol{B}} \cdot \boldsymbol{d} \overline{\boldsymbol{A}}=\mathbf{0} \)
A. A - Ampere's law B - Gauss law for electricity
B. A - Gauss law for electric fields B - Gauss law for magnetic fields
C . A - Faraday law B-Gauss law for electric fields
D. Both (A) and
(B) represent Faraday law
Subject: Physics
A point charge \( q \) is kept at a distance of 2R from centre of an uncharged spherical shell of radius R. The potential at centre of the shell due to charges induced on shell is
A \( \cdot \frac{q}{4 \pi E_{0} R} \)
В \( \cdot \frac{q}{4 \pi E_{0} 2 R} \)
c. \( \frac{-q}{4 \pi E_{0} R} \)
D. zero
Subject: Physics
An iron ball of mass \( 0.2 k g \) is heated to
\( 100^{\circ} \mathrm{C} . \) When it is put in ice block at
\( 0^{0} C, 25 g \) of ice is melted. The specific
heat of iron in CGS units :
\( A \)
B. 0.1
c. 0.8
D. 0.08
Subject: Chemistry
A certain compound on burning in air forms three oxides. One of the oxides
turned lime water milky, the other
turned anhydrous \( C u S O_{4} \) blue and
third formed a solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{9} \)
Compound is formed of :
A. \( S, N \) and \( H \)
B. \( S, N \) and \( C \)
c. \( s, c \) and \( H \)
D. \( S, H \) and \( N a \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{F}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}\left(\frac{1}{\boldsymbol{x}}\right) \) where
\( f(x)=\int_{1}^{x} \frac{\log t}{1+t} d t \)
Then \( F(e) \) is equal to?
\( A \)
B. 2
\( c \cdot 1 / 2 \)
\( D \)
Subject: Biology
Assertion
Algae show only anisogamous type of
reproduction.
Reason
In algae, gametes can never be non
flagellated.
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
In the figure shown below the
conducting shell \( A \) having radius \( R \) is
given charge \( Q \) initially. The shell \( A \) is connected to shell \( B \) of radius \( 2 R \) via
switch \( S \) and a conducting wire. The
switch \( S \) is closed at \( t=0, \) then charge density on the shell \( B \) is (Assuming separation between \( \boldsymbol{A} \) and
\( B \) is very very large)
\( A \)
в. \( \frac{Q}{24 \pi R^{2}} \)
c. \( \frac{Q}{12 \pi R^{2}} \)
D. \( \frac{Q}{6 \pi R^{2}} \)
Subject: Physics
Given, \( \vec{\omega}=2 \hat{k} \) and \( \vec{r}=2 \hat{i}+2 \hat{j} . \) Find the linear velocity.
A \( \cdot 4 \hat{i}+4 \hat{j} \)
B - \( 4 \hat{i}-4 \hat{k} \)
\( \mathbf{c} \cdot_{-4 \hat{i}+4 \hat{j}} \)
D. \( -4 \hat{i}-4 \hat{j} \)
Subject: Chemistry
is properly named:
\( A \cdot(2 S, 3 R, 4 S)-2,4- \) Dichloro-3-methylhexane
B. (3R,4S,5R)- 3,5-Dichloro-4-methylhexane
C. \( (2 S, 3 S, 4 S)-2,4 \) -Dichloro-3-methylhexane
D. \( (2 S, 3 S, 4 R)-2,4 \) -Dichloro-3-methylhexane
Subject: Physics
The distance between two consecutive
crests in a wave train produced on a string is \( 5 \mathrm{cm} \). If two complete waves
pass through any point per second, the velocity of the wave is
A. \( 10 \mathrm{cms}^{-1} \)
B. \( 2.5 \mathrm{cm} \mathrm{s}^{-1} \)
\( \mathrm{c} \cdot 5 \mathrm{cms}^{-1} \)
D. \( 15 \mathrm{cms}^{-1} \)
Subject: Physics
A satisfactory photographic print is obtained at a distance of \( 2 \mathrm{m} \) from a 60
Cd lamp when the exposure time is 10 s. The time of exposure required for the same quality print at a distance \( 4 \mathrm{m} \) from a 120 Cd lamp is:
A. 5 s
B. 10 s
\( c \cdot 20 s \)
D. 25 s
Subject: Biology
Q Type your question
Why
given under Column-II. Select the
correct choice from those given below:
Column Column - I (Contraceptive Method)
Tubectomy
\( A \)
Chemical \( \quad \) p. \( \quad \) and Vasectomy
B. IUDS Copper T and
q. \( \quad \) Loop
\( \mathrm{C} \)
Barriers Condom and
Cervical cap
Spermicidal
D. Sterilization
s. \( \quad \) Jelly and foam
Coitus
\( \mathrm{t} \)
interruptus
and calendar and calendar and calen
method
\( A \cdot A=s, B=q, C=r, D=p \)
B. \( A=s, B=t, C=q, D=r \)
\( C \cdot A=p, B=r, C=q, D=t \)
D. \( A=s, B=q, C=t, D=p \)
Subject: Chemistry
Statement 1: The isotope \( \mathrm{Cl} \) -37 has 17 protons, 17 neutrons, and 17 electrons.
Statement 2: The atomic mass of
chlorine is 35.43 amu.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement
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
The vector \( \vec{A}=\vec{i}+\vec{j} \) where \( \vec{i}, \vec{j} \) are unit vectors along \( X \) and \( Y \) axes respectively makes an angle of with \( X \)
axis.
\( A \cdot 0^{\circ} \)
B. \( 45^{\circ} \)
\( c \cdot 60 \)
D. \( 90^{\circ} \)
Subject: Maths
If \( A \) is the set of even natural numbers
less than 8 and \( B \) is the set of prime
numbers less than \( 7, \) then the number
of relations from \( A \) to \( B \) is
A \( \cdot 2^{9} \)
B \( \cdot 9^{2} \)
\( c \cdot 3^{2} \)
D. \( 2^{9}-1 \)