AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion (A): The enthalpy of formation of \( H_{2} O_{(l)} \) is greater than that of \( H_{2} O(g) \) Reason (R): Enthalpy change is negative for the condensation reaction \( H_{2} O(g) \rightarrow \)
\( H_{2} O(l) \)
A. Both assertion and reason are correct, reason is the correct explanation of the assertion
B. Both assertion and reason are correct reason is the not correct explanation of the assertion
c. Assertion is correct, reason is incorrect
D. Assertion is incorrect, reason is correct
Subject: Maths
Let \( a=\hat{i}+2 \hat{j}+3 \hat{k} \) and \( b=3 \hat{i}+\hat{j} . \) Find
the unit vector in the direction of the
\( a+b \)
A \( \cdot \frac{4 \hat{i}+3 \hat{j}+3 \hat{k}}{\sqrt{34}} \)
B. \( \frac{4 \hat{i}+3 \hat{j}+3 \hat{k}}{\sqrt{44}} \)
D. None of these
Subject: Chemistry
Which is wrong IUPAC name?
This question has multiple correct options
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C O O C H_{2} C H_{3}(\text { Ethylbutanoate }) \)
B. \( C H_{3} C H C H_{2} C H O \) (3-Methyl butanol)
\[
\begin{array}{l}_{C H_{3}}\end{array}
\]
\( \mathbf{c} \cdot C H_{3}-C H-C H-C H_{3} \quad \) (2-Methyl-3-butanol)
\[
\begin{array}{l}\mid \\ O H \quad C H_{3}\end{array}
\]
D. \( C H_{3} C H C O C H_{2} C H_{3} \) (2-methyl-3-pentanone)
\[
\begin{array}{l}C H_{3}\end{array}
\]
Subject: Physics
A particle of mass ' \( m^{\prime} \) is rigidly
attached at \( ^{\prime} A^{\prime} \) to a ring of mass \( ^{\prime} 3 m^{\prime} \)
and radius ' \( r .^{\prime} \) The system is released
from rest and rolls without sliding. The angular acceleration of ring just after
release is
\( ^{A} \cdot \frac{g}{4 r} \)
в. \( \frac{g}{6 r} \)
\( c \)
\( \frac{g}{2 r} \)
Subject: Physics
At \( 0^{\circ} \mathrm{C} \) temperature and 1 atmospheric
pressure a given mass of gas occupies a volume of \( 273 c c \). Its volume at the same
pressure and at \( 50^{0} \mathrm{C} \) is
\( \mathbf{A} \cdot 323 c c \)
B. \( 273 c c \)
c. \( 546 c c \)
D. \( 112 c c \)
Subject: Maths
Solve: \( (\boldsymbol{x}-\boldsymbol{y} \ln \boldsymbol{y}+\boldsymbol{y} \ln \boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}+ \)
\( \boldsymbol{x}(\ln \boldsymbol{y}-\ln \boldsymbol{x}) \boldsymbol{d} \boldsymbol{y}=\mathbf{0} \)
A \( \cdot x \ln \left(\frac{y}{x}\right)-y+x \ln x+c y=0 \)
в. \( y \ln \left(\frac{x}{y}\right)-y+x \ln x+c x=0 \)
c. \( x \ln \left(\frac{x}{y}\right)-y+x \ln x+c y=0 \)
D. \( y \ln \left(\frac{y}{x}\right)-y+x \ln x+c x=0 \)
Subject: Physics
A pebble is thrown vertically upwards
with a speed of \( 20 m s^{-1} . \) How high will
it be after \( \left.2 s ? \text { (Take } g=10 m s^{-2}\right) \)
A. \( 40 \mathrm{m} \)
B. 10 \( \mathrm{m} \)
\( c \cdot 20 m \)
D. 25 m
Subject: Maths
Find the distance of the point (-1,-5,-10) from the point of intersection of the line
\( \boldsymbol{r}=\mathbf{2} \overline{\boldsymbol{i}}-\overline{\boldsymbol{j}}+\mathbf{2} \overline{\boldsymbol{k}}+\overline{\boldsymbol{\lambda}}(\mathbf{3} \overline{\boldsymbol{i}}+\mathbf{4} \overline{\boldsymbol{j}}+\mathbf{2} \overline{\boldsymbol{k}}) \) and
the plane \( \bar{r} .(\bar{i}-\bar{j}+\bar{k})=5 \)
Subject: Physics
A person with a normal near point (25 \( \mathrm{cm} \) ) using a compound microscope with objective of focal length \( 8.0 \mathrm{mm} \) and an eyepiece of focal length \( 2.5 \mathrm{cm} \)
can bring an object placed at \( 9.0 \mathrm{mm} \)
from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope.
Subject: Chemistry
When acetone in treated with
sodium bisulphite, the compound formed is :
\( A \)
\[
\mathrm{CH}_{3}-\underset{\mathrm{SO}_{3}^{\prime} \mathrm{Na}}{\mathrm{C}}^{\mathrm{OH}}-\mathrm{CH}_{3}
\]
в.
\[
\mathrm{CH}_{3}-\begin{array}{c}
\text { он } \\
\mathrm{C} \\
\mathrm{s} 0_{3}^{\prime} \mathrm{Na}
\end{array}-\mathrm{H}
\]
\( c \)
\[
\mathrm{CH}_{3}-\stackrel{\mathrm{O}_{3}^{\mathrm{Na}}}{\mathrm{C}}-\mathrm{CH}_{3}
\]
D.
\[
\mathrm{CH}_{3}-\stackrel{\mathrm{O}_{3}}{\mathrm{C}}-\mathrm{H}
\]
Subject: Maths
Construct a quadrilateral \( A B C D \) in
which \( \boldsymbol{A B}=\mathbf{4 c m}, \boldsymbol{B C}= \)
\( \mathbf{3 . 1 c m}, \boldsymbol{C D}=\mathbf{3} c \boldsymbol{m} . \boldsymbol{A D}=\mathbf{4 . 2 c m} \) and
\( A C=5 c m ? \) measure the diagonal \( B D \)
\( ? \)
Subject: Maths
Assertion
If a ball in the shape of a sphere has a surface area of \( 221.76 \mathrm{cm}^{2}, \) then its diameter is \( 8.4 \mathrm{cm} \)
Reason
If the radius of the sphere be \( r, \) then surface area, \( S=4 \pi r^{2}, \) i.e. \( r=\frac{1}{2} \sqrt{\frac{s}{\pi}} \)
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: Maths
Find the mean deviation from the mean
of the following data, using the step
deviation method:
\begin{tabular}{|l|l|}
\hline Marks & No. of students \\
\hline \( 0-10 \) & 6 \\
\hline \( 10-20 \) & 5 \\
\hline \( 20-30 \) & 8 \\
\hline \( 30-40 \) & 15 \\
\hline \( 40-50 \) & 7 \\
\hline \( 60-70 \) & 3 \\
\hline
\end{tabular}
Subject: Physics
A charged particle of radius \( 5 \times 10^{-7} \mathrm{m} \)
is loacted in a horizontal electric field of
intensity \( 6.28 \times 10^{5} V m^{-1} . \) The
surrounding medium has the
coefficient of viscosity \( \boldsymbol{\eta}=\mathbf{1 . 6} \times \)
\( 10^{5} N s m^{-2} . \) The particle starts moving
under the effect of electric field and
finally attains a uniform horizontal speed of \( 0.02 m s^{-1} . \) Find the number of
electrons on it :
(Assume gravity free space)
A . \( 3 \times 10^{11} \)
в. \( 6 \times 10^{1} \)
\( \mathbf{c} \cdot 9 \times 10^{11} \)
D. \( 1 \times 10^{11} \)
Subject: Maths
\( \operatorname{Let} \frac{\mathbf{d}}{\mathbf{d} x} \boldsymbol{F}(\boldsymbol{x})=\frac{e^{\sin x}}{\boldsymbol{x}}, \boldsymbol{x}>\mathbf{0} \)
\( \int_{1}^{4} \frac{2 e^{\sin x^{2}}}{x} d x=F(k)-F(1) \) then one
of the possible value of k is
Subject: Maths
The perpendicular distance of \( \vec{A}(1,4,-2) \) from the segment BC where \( \vec{B} \) (2,1,-2) and \( \vec{C}(0,-5,1) \) is
\( A \cdot \frac{3}{7} \sqrt{26} \)
B \( \cdot \frac{6}{7} \sqrt{26} \)
\( \mathbf{c} \cdot \frac{4}{7} \sqrt{26} \)
\( D \cdot \frac{2}{7} \sqrt{26} \)
Subject: Physics
A force acts on a \( 30 g m \) particle in such
a way that the position of the particle as a function of time is given by \( \boldsymbol{x}=\mathbf{3} \boldsymbol{t}- \)
\( 4 t^{2}+t^{3}, \) where \( x \) is in metres and \( t \) is in
seconds. The work done on the particle
during the first 4 second is
A. \( 3.84 J \)
в. \( 1.68 J \)
c. \( 5.28 J \)
D. \( 5.41 J \)
Subject: Maths
Which of the following equations have no real roots ?
A \( \cdot x^{2}-2 \sqrt{3}+5=0 \)
B \( \cdot 2 x^{2}+6 \sqrt{2} x+9=0 \)
c. \( x^{2}-2 \sqrt{3}-5=0 \)
D \( \cdot 2 x^{2}-6 \sqrt{2} x-9=0 \)
Subject: Maths
Show that \( \cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)= \)
\( \frac{x}{2} \) for \( x \in\left(0, \frac{\pi}{2}\right) \)
Subject: Maths
If \( f(x)=a x^{2}+b x+c \) and \( f(0)=1 \)
and \( \boldsymbol{f}(-1)=\mathbf{3},(\boldsymbol{a}-\boldsymbol{b})= \)
\( \mathbf{A} \cdot \mathbf{3} \)
B. 1
\( c \cdot 2 \)
D.
E . -1
Subject: Maths
If \( z_{1}, z_{2} \) are two complex numbers \( \left(z_{1} \neq\right. \)
\( z_{2} \) ) satisfying \( \left|z_{1}^{2}-z_{2}^{2}\right|=\mid \overline{z_{1}^{2}}+\overline{z_{2}^{2}}- \)
\( \mathbf{2} \bar{z}_{1} \bar{z}_{2} \mid, \) then
This question has multiple correct options
A \( \cdot \frac{z_{1}}{z_{2}} \) is purely imaginary
B . \( \frac{z_{1}}{z_{2}} \) is purely real
C \( \cdot\left|a r g z_{1}-a r g z_{2}\right|=\pi \)
D \( \cdot\left|\arg z_{1}-\arg z_{2}\right|=\frac{\pi}{2} \)
Subject: Physics
Assertion
In Rutherford's gold leaf experiment, most of the \( \alpha \) particles passed through the foil
Reason
The entire positive charge and nearly all of the mass of an atom is concentrated
in the nucleus
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
Find the interaction force of two coils
with magnetic moments \( \boldsymbol{p}_{1 m}=\mathbf{4 . 0} \boldsymbol{m} \boldsymbol{A} \)
\( -m^{2} \) and \( p_{2 m}=6.0 m A-m^{2} \) and
collinear axes if the separation between the coils is equal to \( l=20 \mathrm{cm} \) which
exceeds considerably their linear dimensions.
A . 9
B. 5
c. 8
D. 10
Subject: Physics
A particle performs SHM with period and amplitude A. The mean velocity of the particle averaged over quarter oscillation, starting from right extreme position is
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{2 A}{T} \)
c. \( \frac{4 A}{T} \)
D. \( \frac{3 A}{T} \)
Subject: Physics
Pressure \( 3 \mathrm{m} \) below the free surface of a
liquid is \( 15 ~ K N / m^{2} \) in excess of
atmosphere pressure. Determine its density and specific gravity. \( [\mathrm{g}=10 \) \( \left.\boldsymbol{m} / \boldsymbol{s e c}^{2}\right] \)
Subject: Physics
A copper rod of length \( l \) is suspended from the ceiling by one of its ends. Find the elongation \( \Delta l \) of the rod
due to its own weight.
A \( \quad \Delta l=\frac{1}{2} \frac{\rho g l^{2}}{E} \)
B. \( \Delta l=\frac{1}{3} \frac{\rho g l^{2}}{E} \)
c. \( \Delta l=\frac{1}{4} \frac{\rho g l^{2}}{E} \)
D. \( \Delta l=\frac{1}{5} \frac{\rho g l^{2}}{E} \)
Subject: Physics
A concave mirror has a radius of
curvature \( 2 \mathrm{m} . \) The light from a distance source is incident on the mirror. The
distance of the image of the source
from the mirror is:
\( \mathbf{A} \cdot 0.5 m \)
B. \( 1 m \)
c. \( 1.5 m \)
D. \( 2 m \)
Subject: Physics
A single electron has change \( |e|= \)
\( \mathbf{1 . 6} \times \mathbf{1 0}^{-19} \mathbf{C} . \) If the current passing
through a conducting wire is \( 0.32 A \) how many electrons would pass through
the wire In one hour?
A. \( 7.2 \times 10^{20} \)
В. \( 7.2 \times 10^{21} \)
c. \( 7.2 \times 10^{19} \)
D. \( 2 \times 10^{18} \)
Subject: Chemistry
Match the following and choose the
correct option given below.
Compound / Type
A. Dry ice
I. Anti-knocking compound
B. \( \quad \) II. Electronic diode or triode Semiconductor
C. Solder
III. Joining circuits
IV. Refrigerant for preserving
D. TEL \( \quad \) food
A. \( A-I, B-11, C-1 V, D-111 \)
B. \( A-11, B-111, C-1, D-1 V \)
C. \( A-I V, B-I I I, C-11, D-1 \)
D. \( A-I V, B-11, C-111, D-1 \)
Subject: Chemistry
Which of the following have equal mass
of \( C l^{-} \) ions in \( 1.0 \mathrm{L} \) of each of the
following solutions? This question has multiple correct options
A. \( 5 \% \) NaCl (density \( =1.07 \) g/m \( L \) )
в. \( 5 \% \) KCl (density \( =1.06 \mathrm{g} / \mathrm{mL} \) )
c. 58.5 g of \( N a C l \)
D. \( 55.5 \mathrm{g} \) of \( \mathrm{BaCl}_{2} \)
Subject: Physics
A runner moves along the road at
\( 2 m s^{-1} \) in still air that is at a
temperature of \( 29^{\circ} \mathrm{C} . \) His surface area
is \( 1.4 m^{2}, \) of which approximately \( 85 \% \)
is exposed to the air. Coefficient of convection for dry air and bare skin at
wind speed \( 2 m s^{-1} \) is \( 22 W m^{-2 \circ} C^{-1} \)
The rate of convective heat loss from his
skin at a temperature \( 35^{0} C \) to the
outside air is :
\( A \cdot 10 W \)
B. 20 \( w \)
c. 30 \( w \)
D. 160 \( w \)
Subject: Chemistry
Mark the correct order of decreasing
acid strength of the following
compounds
\( A \cdot(v)>(i v)>(i i)>(i)>( \) iii)
B. (ii)> (iv) > (i) > (iii) > (v)
\( c \cdot(i v)>(v)>(\text { iii) }>(\text { ii })>( \text { i) } \)
D. (v) > (iv) > (iii) > (ii) > (i)
Subject: Physics
A tunnel is dug along a diameter of the
earth. If \( M_{e} \) and \( R_{e} \) are the mass and
radius, respectively, of the earth, then
the force on a particle of mass \( m \) placed in the tunnel at a distance \( r \) from the
centre is :
\( ^{\mathbf{A}} \cdot \frac{G M_{e} m}{R_{e}^{3}} r \)
в. \( \frac{G M_{e} m}{R_{s}^{3} r} \)
c. \( \frac{G M_{e} m R_{e}^{3}}{r} \)
\( ^{\mathrm{D}} \cdot \frac{G M_{e} m}{R^{2}} \)
Subject: Chemistry
The value of Planck's constant is
\( 6.63 \times 10^{-34} J-s . \) The velocity of light
is \( 3 \times 10^{8} m / \) sec. Which value is closest
to the wavelength in nanometer of a
quantum of light with frequency of \( 8 \times \) \( 10^{15} s e c^{-1} ? \)
A \( .5 \times 10^{-18} \)
B . \( 4 \times 10^{1} \)
\( c \cdot 3 \times 10^{7} \)
D. \( 2 \times 10^{-25} \)
Subject: Chemistry
Find the hydrolysis product of maltose:
A . \( \alpha-D- \) glucose \( +\alpha-D- \) glucose
B. \( \alpha-D- \) glucose \( +\alpha-D- \) fructose
c. \( \alpha-D-g l u c o s e+\alpha-D-g a l a c t o s e \)
D. \( \alpha-D- \) fructose \( +\alpha-D- \) galactose
Subject: Chemistry
\( \boldsymbol{Z} \boldsymbol{n}\left|\begin{array}{c}\boldsymbol{Z} \boldsymbol{n}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}(\boldsymbol{a} \boldsymbol{q}) \\ \boldsymbol{1} \mathbf{0} \boldsymbol{0} \boldsymbol{m} \boldsymbol{L}, \boldsymbol{1} \boldsymbol{M}\end{array}\right|\left|\begin{array}{c}\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}(\boldsymbol{a} \boldsymbol{q}) \\ \boldsymbol{1} \mathbf{0} \boldsymbol{0} \boldsymbol{m} \boldsymbol{L}, \mathbf{1} \boldsymbol{M}\end{array}\right| \)
The following galvanic cell was operated as an electrolytic cell using Cu as anode
and \( \mathrm{Zn} \) as cathode. A current of 0.48
ampere was passed for 10 hour and then the cell was allowed to function as
galvanic cell. The e.m.f. of the cell at \( 25^{\circ} \)
\( \mathrm{C} \) is (write the nearest integer value):
Assume that the only electrode reactions occurring were those
involving \( \boldsymbol{C} \boldsymbol{u} / \boldsymbol{c u}^{2+} \) and \( \boldsymbol{Z} \boldsymbol{n} / \boldsymbol{Z} \boldsymbol{n}^{2+} \)
Given
\( E_{C u^{2+}, C u}^{o}=0.34 V \) and \( E_{Z n, Z n^{2+}}^{o}= \)
\( -0.76 V \)
Subject: Chemistry
In the reaction \( \boldsymbol{C H}_{3} \boldsymbol{C N} \frac{\text {heat}}{\boldsymbol{H}_{3} \boldsymbol{O}^{+}} \)
\( C H_{3} C O O H \) the hybridisation state of
the functional carbon changes from:
A \( \cdot s p^{3} \) to \( s p^{2} \)
В \( \cdot s p^{2} \) to \( s p^{3} \)
\( \mathbf{c} \cdot s p \) to \( s p^{2} \)
D. \( s p^{2} \) to \( s p \)
Subject: Maths
Let the absolute maxima/minima value
of \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{3} \boldsymbol{x}^{4}-\boldsymbol{8} \boldsymbol{x}^{3}+\mathbf{1} \boldsymbol{2} \boldsymbol{x}^{2}-\boldsymbol{4} \boldsymbol{8} \boldsymbol{x}+ \)
\( \mathbf{2 5} ; \boldsymbol{x} \in[\mathbf{0}, \mathbf{3}] \) be max, min. Find
\( 2(\max )+\min ? \)
Subject: Physics
The position of an object moving along \( x- \) axis is given by \( x=a+b t^{2} \) where
\( \boldsymbol{a}=\mathbf{8 . 5} \boldsymbol{m}, \boldsymbol{b}=\mathbf{2 . 5} \boldsymbol{m} \boldsymbol{s}^{-2} \) and \( \boldsymbol{t} \) is
measured in seconds. What is its
velocity at \( t=0 s \) and \( t=2.0 s . \) What is
the average velocity between \( t=2.0 s \)
and \( t=4.0 s \)
Subject: Physics
A box is being lifted by a fork-lift truck.
The weight o fthe box is \( 3000 N \). The
force exerted by the fork-lift truck on the
box is \( 3500 N \) vertically upwards. What
is the resultant vertical force on the
box?
fork
A. \( 500 N \) downwards
B. \( 500 N \) upwards
c. \( 6500 N \) downwards
D. \( 6500 N \) upwards
Subject: Physics
If \( n, e, \tau, m \) are representing electron density, charge, relaxation time and mass of an electron respectively then
the resistance of wire of length \( l \) and
cross sectional area \( \boldsymbol{A} \) is given by:
A \( \cdot \frac{m l}{n e^{2} \tau A} \)
в. \( \frac{2 m a}{n^{2} \tau} \)
\( \mathbf{c} \cdot n e^{2} \tau A \)
D. \( \frac{n e^{2} \tau A}{2 m} \)
Subject: Chemistry
\( 1.4 \mathrm{g} \) of acetone dissolved in \( 100 \mathrm{g} \) of benzene gave a solution which freezes
at \( 277.12 \mathrm{K} . \) Pure benzene freezes at
\( 278.4 \mathrm{K} .2 .8 \mathrm{g} \) of a solid
(A) dissolved in
\( 100 \mathrm{g} \) of benzene gave a solution which froze at \( 277.76 \mathrm{K} \). Calculate the molar mass of \( (A) \)
Subject: Physics
In the magnetic meridian of a certain
place the horizontal component of earth's magnetic field is \( 0.25 \mathrm{G} \) and dip
angle is \( 60^{\circ} . \) The magnetic field of the earth at this location is
\( \mathbf{A} \cdot 0.50 \mathrm{G} \)
B. 0.52 G
c. 0.54 G
D. 0.56 G
Subject: Physics
Two identical blocks \( A \) and \( B \) of mass
\( m \) joined together with a massless
spring as shown in the figure are placed on a smooth surface. If the block \( \mathbf{A} \)
moves with an acceleration \( a_{0} \), then the
acceleration of the block \( B \) is
A \( \cdot a_{0} \)
в. \( -a_{0} \)
\( c \)
\[
\frac{f}{m}-a_{0}
\]
D. \( \frac{f}{m} \)
Subject: Maths
The nth term of the A.P. is \( 2 n-5 \), then
the series is :
A. \( -3,-1,1, \ldots \)
.
в. \( 3,1,-1, \ldots \)
c. \( 2,5,8, \dots \dots \)
D. \( 1,7,13, \ldots \ldots \)
Subject: Chemistry
\( \boldsymbol{S} \boldsymbol{i} \boldsymbol{O}_{2}(\boldsymbol{s})+\boldsymbol{N} \boldsymbol{a} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{l}) \rightarrow \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{S} \boldsymbol{i} \boldsymbol{O}_{3}(\boldsymbol{a} \boldsymbol{q}) \)
\( +? \)
A \( \cdot H_{2} O(l) \)
в. \( H_{2}(g) \)
c. \( H_{3} O^{+} \)
D. \( O H^{-} \)
Subject: Physics
Two charges \( +6 \mu C \) and \( -4 \mu C \) are
placed \( 15 c m \) a part as shown. At what
distances from \( A \) to its right, the
electrostatic potential is zero?
\( \mathbf{A} \cdot 4,9,60 \)
B. 9,15,45
\( \mathrm{C} \cdot 20,30,40 \)
D. \( 9,45, \) infinity
Subject: Physics
Assertion
\( \mathbf{A} \)
p-njunction with reverse bias can be used as a photodiode to measure light intensity.
Reason
In a reverse bias condition the current
is small but it is more sensitive to
changes in incident light intensity.
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 cylinder of mass \( 1 \mathrm{kg} \) is given heat of \( 20000 \mathrm{J} \) at atmospheric pressure. If
initially temperature of cylinder is \( 20^{\circ} \mathrm{C} \) find change in internal energy of the cylinder. (Given that Specific heat capacity of cylinder \( =400 \mathrm{J} \mathrm{kg}^{-10} \mathrm{C}^{-1}, \) Coefficient
of volume expansion \( =\mathbf{9} \times \mathbf{1 0}^{-\mathbf{5} \mathbf{0}} \mathbf{C}^{-\mathbf{1}} \)
Atmospheric pressure \( =10^{5} N / m^{2} \)
and Density of cylinder \( =9000 \mathrm{kg} / \mathrm{m}^{3} \) )
A. 39999.95 J.
в. 29999.95
c. 19999.95 s
D. 59999.95 J.
Subject: Chemistry
Assertion
Cotton is a polymer.
Reason
A polymer is a very big molecule made
of many small repeating units of
compounds called monomers.
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
Group 15 of the periodic table consists
of the elements \( N, P, A s, S b \) and \( B i \) On passing from \( \mathbf{N} \) to \( \mathrm{Bi} \), the oxides of the
elements of general formula \( \mathbf{M}_{2} \mathbf{O}_{3} \) becomes:
A. strong reducing agents
B. more ionic
c. more basic
D. more volatil
Subject: Physics
fthe boy is standing \( 1 \mathrm{m} \) from the
mirror, where will his image seem to be
located ?
A. 2 m behind the mirror
B. \( 1 \mathrm{m} \) behind the mirror
\( c .2 \mathrm{m} \) in front of the mirro
D. \( 1 \mathrm{m} \) in front of the mirror
Subject: Maths
Verify Lagrange's mean value theorem for the following function on the indicated interval. In each case find a
point \( ^{\prime} c^{\prime} \) in the indicated interval as stated by the Lagrange's mean value theorem:
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}-\boldsymbol{2} \boldsymbol{x}+\boldsymbol{4} \) on \( [\mathbf{1}, \boldsymbol{5}] \)
Subject: Physics
The refractive index of a prism is measured using three lines of a
mercury vapor lamp. If \( \mu_{1}, \mu_{2} \) and \( \mu_{3} \) are
the measured refractive indices for
these green, blue and yellow lines respectively, then
A \( \cdot \mu_{2}>\mu_{3}>\mu_{1} \)
В . \( \mu_{2}>\mu_{1}>\mu_{3} \)
c. \( \mu_{3}>\mu_{2}>\mu_{1} \)
D. \( \mu_{1}>\mu_{2}>\mu_{3} \)
Subject: Maths
A sum of Rs. 46,875 was lent out as simple interest and at the end of 1 year
8 months the total amount was Rs.
\( \mathbf{5 0}, \mathbf{0 0 0} . \) Find the rate of interest per
cent per annum.
A . \( 3.5 \% \)
в. \( 4.5 \% \)
c. \( 5 \% \)
D. \( 4 \% \)
Subject: Chemistry
Fill in the blanks with appropriate
words.

Azeotropic mixtures boil without change in their \( _{\text {一一一一一一一. }} \) Azeotropic mixtures exist in solutions showing
or deviations.
solutions do not form
azeotropic. van't Hoff factor for an
electrolyte is than 1
A. colour, positive, negative, non-ideal, greater
B. properties, positive, negative, ideal, smaller
c. boiling point, positive, negative, non-ideal, lesser
D. composition, positive, negative, ideal, greater
Subject: Physics
The graph of velocity vs. time of a moving particle plotted at right. How do the acceleration and displacement of
the particle at point \( B \) compare to the acceleration and displacement of the particle at point \( \mathbf{A} \) ?
A. Acceleration is less, displacement is less
B. Acceleration is less, displacement is the same
C. Acceleration is less, displacement is greater
D. Acceleration is greater, displacement is less
E. Acceleration is greater, displacement is greater
Subject: Chemistry
Assertion
Some farmers feel that lightning helps produce better crop.
Reason
Lighting forms No which is converted to
\( N O_{2}, H N O_{2} \) and \( H N O_{3} \) under
atomospheric condition. Thus, \( N O_{3}^{-} \) is a source of nutrients (fertilisers) to the
plant. Thus there are chances of better crops when lightning occurs.
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 a common base transistor circuit, the
current gain is \( 0.98 . \) On changing the emitter current by \( 5.00 \mathrm{mS} \), the change
in collector current is?
A. \( 0.196 \mathrm{mA} \)
B. \( 2.45 \mathrm{mA} \)
c. \( 4.9 \mathrm{mA} \)
D. \( 5.1 \mathrm{m} \) A
Subject: Chemistry
A quantity of \( P C l_{5} \) was heated in a 10
litre vessel at \( 250^{\circ} \mathrm{C} \)
\( \boldsymbol{P C l}_{5(g)} \rightleftharpoons \boldsymbol{P C l}_{3(g)}+\boldsymbol{C l}_{2(g)} \)
At equilibrium, the vessel contains \( 0 . \)
mole of \( \boldsymbol{P} \boldsymbol{C l}_{5}, \) 0.2 mole of \( \boldsymbol{P} \boldsymbol{C l}_{3} \) and 0.2
mole of \( C l_{2} . \) The equilibrium constant is
A. 0.02
B. 0.05
\( c \cdot 0.04 \)
D. 0.025
Subject: Maths
A circular park of radius \( 20 m \) is
situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.
A \( .5 \sqrt{3} \mathrm{cm} \)
B. \( 2 \sqrt{3} \mathrm{cm} \)
c. \( \sqrt{3} \mathrm{cm} \)
D. \( 20 \sqrt{3} \mathrm{cm} \)
Subject: Maths
The value of \( k \) for which the lines \( 2 x+ \)
\( \mathbf{3} \boldsymbol{y}+\boldsymbol{a}=\mathbf{0} \) and \( \mathbf{5} \boldsymbol{x}+\boldsymbol{k} \boldsymbol{y}+\boldsymbol{a}=\mathbf{0} \)
represent family of parallel lines is
\( A \cdot 3 \)
в. 4.5
\( c .7 .5 \)
D. 15