AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Q Type your question
\( A \)
\( (A) \rightarrow(\text { iii }),(B) \rightarrow(i),(C) \rightarrow(i i),(D) \rightarrow(i v) \)
\( \mathbf{B} \cdot(A) \rightarrow(i i i),(B) \rightarrow(i v),(C) \rightarrow(i),(D) \rightarrow(i i) \)
C \( \cdot(A) \rightarrow(\text { ii }),(B) \rightarrow(i),(C) \rightarrow(i v),(D) \rightarrow( \) iii)
D. \( (A) \rightarrow(\text { iv }),(B) \rightarrow(i i),(C) \rightarrow(i),(D) \rightarrow(\text { iii }) \)
Subject: Chemistry
Assertion
Colloidal silver iodide is prepared by adding silver nitrate in slight excess to potassium iodide solution. When
subjected to an electric field, the
colloidal particles migrate to the anode.
Reason

Colloidal particles adsorb ions and thus become electrically charged.
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
If \( \bar{a}=4 \bar{i}+6 \bar{j} \) and \( \bar{b}=3 \bar{j}+4 \bar{k}, \) then the
vector form of the component of \( \bar{a} \) along \( \bar{b} \) is
A \( \cdot \frac{18(3 \bar{j}+4 \bar{k})}{10 \sqrt{3}} \)
B. \( \frac{18(3 \bar{j}+4 \bar{k})}{25} \)
c. \( \frac{18(3 \bar{j}+4 \bar{k})}{\sqrt{13}} \)
D. \( \frac{(3 \bar{j}+4 \bar{k})}{25} \)
Subject: Physics
Figure shows a square current-carrying
loop \( A B C D \) of side \( 2 m \) and current
\( \boldsymbol{I}=\frac{1}{2} \boldsymbol{A} . \) The magnetic moment \( \overrightarrow{\boldsymbol{M}} \) of
the loop is:
A \( \cdot(\hat{i}-\sqrt{3} \hat{k}) A-m^{2} \)
\( \mathbf{B} \cdot(\hat{j}-\hat{k}) A-m^{2} \)
c. \( (\sqrt{3} \hat{i}-\hat{k}) A-m^{2} \)
D. \( (\hat{i}-\hat{k}) A-m^{2} \)
Subject: Maths
Sum of a number and its reciprocal is \( \mathbf{5} \frac{1}{\mathbf{5}} . \) Then the required equation is
A \( \cdot y^{2}+\frac{1}{y}=\frac{26}{5} \)
B. \( 5 y^{2}-26 y+5=0 \)
c. \( y^{2}+\frac{1}{y}+\frac{26}{5}=0 \)
D. \( 5 y^{2}+26 y+5=0 \)
Subject: Maths
To construct a triangle similar to a given ABC with its sides \( \frac{3}{7} \) of the
corresponding sides of \( \Delta A B C, \) first draw a ray BX such that \( \angle C B X \) is an
acute angle and \( X \) lies on the opposite side of A with respect to BC. Then locate
points \( B_{1}, B_{2}, B_{3}, \dots \) on BX at equal distances and next step is to join
A. \( B_{10} \) to \( c \)
B. \( B_{3} \) to \( c \)
\( c \cdot B_{7} \operatorname{toc} \)
D. \( B_{4} \) to \( c \)
Subject: Physics
A voltmeter having a resistance of \( 998 \Omega \) is connected to a cell of emf \( 2 \mathrm{V} \) and
internal resistance \( 2 \Omega . \) The error in the
measurement of emf will be.
A \( \cdot 4 \times 10^{-1} \mathrm{V} \)
B . \( 2 \times 10^{-3} \mathrm{V} \)
c. \( 4 \times 10^{-3} v \)
D. \( 2 \times 10^{-1} \mathrm{V} \)
Subject: Physics
A uniform horizontal rod of length \( 40 \mathrm{cm} \) and mass \( 1.2 \mathrm{kg} \) is supported by
two identical wires as shown in the
figure. Where should a mass of \( 4.8 k g \)
be placed on the rod from the left end (in
\( \mathrm{cm} \) so that the same tuning fork may
excite the wire on left into its
fundamental vibrations and that on
right into its first overtone? Take \( G= \)
\( 10 m / s^{2} \)
Subject: Maths
In the figure given below, if DE \( \| \mathrm{BC} \)
then the value of \( x \) equals to:
\( A \cdot 3 \mathrm{cm} \)
B. \( 2 \mathrm{cm} \)
\( c \cdot 4 \mathrm{cm} \)
D. \( 6.7 \mathrm{cm} \)
Subject: Physics
Which one of the following is travelling with the fastest speed?
A. An athlete running with a speed of \( 10 \mathrm{m} / \mathrm{s} \)
B. A bicycle moving with a speed of 200 \( \mathrm{m} / \mathrm{min} \)
c. A tortoise covering 100 metres in 15 minutes
D. A motorcycle moving with a speed one km/h
Subject: Physics
Two satellites \( A \) and \( B \) go round the planet \( \boldsymbol{P} \) in circular orbits having radii \( 4 R \) and \( R \) respectively. If the speed of
the satellite \( A \) is \( 3 v, \) then the speed of
satellite \( \boldsymbol{B} \) will be
A . \( 6 v \)
в. \( 12 v \)
c. \( \frac{3 v}{2} \)
D. \( \frac{4 v}{3} \)
Subject: Physics
Two spherical bodies of mass \( \mathrm{M} \) and \( 5 \mathrm{M} \) and radii R and \( 2 \mathrm{R} \) respectively are released in free space with initial
separation between their centres equal to 12R. If they attract each other due to gravitational force only. then the
distance covered by the smaller body just before collision is
A . 1.5 R
в. 2.5
c. 4.5 R
D. 7.5R
Subject: Maths
The magnitude of two vectors \( a \) and \( b \)
having the same magnitude and such
that the angle between them is \( 60^{\circ} \) and their scalar product is \( \frac{1}{2}, \) are
A \( \cdot|a|=\frac{1}{2},|b|=1 \)
в. \( |a|=|b|=1 \)
c. \( |a|=1,|b|=\frac{1}{2} \)
D. None of these
Subject: Maths
If in triangles \( \boldsymbol{X} \boldsymbol{Y} \boldsymbol{Z}, \boldsymbol{X} \boldsymbol{Y}=\boldsymbol{X} \boldsymbol{Z} \) and
\( M, N \) are the midpoints of \( X Y, Y Z \) and which one of the following is
correct?
\( \mathbf{A} \cdot M N=Y Z \)
в. \( N Y=N Z=M N \)
c. \( M X=M Y=N Y \)
D. \( M N=M X=M Y \)
Subject: Maths
The sum of the acute angles of an
obtuse triangle is \( 70^{\circ} \) and their
difference is \( 10^{\circ} . \) The largest angle is:
A \( \cdot 110^{\circ} \)
B. 105
\( c \cdot 100^{\circ} \)
D. \( 95^{\circ} \)
Subject: Chemistry
In monomeric \( B H_{3} \), let an axis
definition place the molecule in the \( x z \)
plane. Which atomic orbital on \( B \) is non
bonding?
A \( \cdot 2 s \)
в. \( 2 p_{x} \)
\( c \cdot 2 p_{y} \)
D. \( 2 p_{z} \)
Subject: Physics
For the arrangement of the potentiometer shown in the figure, the
balance point is obtained at a distance \( 75 \mathrm{cm} \) from A when the key k is
open. The second balance point is obtained at \( 60 \mathrm{cm} \) from A when thekey is closed. Find the internal resistance
\( (\operatorname{in} \Omega) \) of the battery \( E_{1} \)
Subject: Physics
Particles of masses \( m_{1} \) and \( m_{2} \) are at a
fixed distance apart. If the gravitational field strength at \( m_{1} \) and \( m_{2} \) are \( \vec{I}_{1} \) and
\( \vec{I}_{2} \) respectively. Then
\( \mathbf{A} \cdot m_{1} \vec{I}_{1}-m_{2} \vec{I}_{2}=0 \)
В . \( m_{1} \vec{I}_{2}+m_{1} \vec{I}_{2}=0 \)
C \( \cdot m_{2} \vec{I}_{2}-m_{2} \vec{I}_{2}=0 \)
D . \( m_{1} \vec{I}_{2}-m_{2} \vec{I}_{1}=0 \)
Subject: Physics
Block B rests on block A. Block A rests
on a horizontal surface \( C \) which is
frictionless. There is friction between \( \mathbf{A} \)
and B. If B is pulled to the right, then:
A. B moves forward and A to the left
B. B only moves to the left
c. B does not move
D. A and B move to right however their acceleration can be different.
Subject: Physics
The index of refraction for diamond is
2.42. For a diamond in the air (index of
refraction \( =1.00 \), what is the smallest
angle that a light ray inside the diamond can make with a normal and
completely reflect back inside the diamond (the critical angle)?
A \( \cdot 90^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 68^{\circ} \)
D. \( 66^{\circ} \)
E \( .24^{\circ} \)
Subject: Physics
A sphere of radius \( r \) is charged to a
potential \( V . \) The outward pull per unit area of its surface is given by:
A \( \cdot \frac{4 \pi \epsilon_{0} V^{2}}{r^{2}} \)
в. \( \frac{\epsilon_{0} V^{2}}{r^{2}} \)
c. \( \frac{2 \pi \epsilon_{0} V^{2}}{r^{2}} \)
D. \( \frac{\epsilon_{0} V^{2}}{4 r^{2}} \)
Subject: Chemistry
The most direct malonic ester synthesis of the 3-phenyl propanoic acid would involve the use of :
A. \( C_{6} H_{5} C H_{2} C H_{2} C H_{2} C l \)
в. \( C_{6} H_{5} C H_{2} C H_{2} C l \)
c. \( C_{6} H_{5} C H_{2} C l \)
D. \( C l C H_{2} C O O H \)
Subject: Chemistry
Given that:
\( 2 F e(s)+\frac{3}{2} O_{2}(g) \longrightarrow \)
\( \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3}(\boldsymbol{s}) ; \boldsymbol{\Delta} \boldsymbol{H}=-\mathbf{1 9 3} .4 \boldsymbol{k} \boldsymbol{J} \ldots(\boldsymbol{i}) \)
\( M g(s)+\frac{1}{2} O_{2}(g) \longrightarrow M g O(s) ; \Delta H= \)
\( -140.2 k J \ldots .(i i) \)
What is \( \Delta H \) of the reaction?
\( \mathbf{3} M \boldsymbol{g}+\boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3} \longrightarrow \mathbf{3} M \boldsymbol{g} \boldsymbol{O}+\mathbf{2} \boldsymbol{F} \boldsymbol{e} \)
в. \( -237.3 k J \)
c. \( 2227.2 k \)
D. \( -257.3 k J \)
Subject: Physics
If the intensity of electric field at a distance \( x \) from the centre in axial
position of small electric dipole is equal
to the intensity at a distance \( y \) in
equatorial position, then
\( \mathbf{A} \cdot x=y \)
в. \( x=y / 2 \)
C \( . y=x / 2^{2 / 3} \)
D. \( y=x / 2^{1 / 3} \)
Subject: Maths
Value of \( 1+\frac{1^{3}+2^{3}}{1+2}+\frac{1^{3}+2^{3}+3^{3}}{1+2+3}+ \)
\( \ldots+\frac{1^{3}+2^{3}+\ldots \ldots 15^{3}}{1+2+\ldots .+15}-\frac{1}{2}(1+2+ \)
\( \ldots+15) \) is?
A \( \cdot 840 \)
в. 720
\( c .680 \)
D. 620
Subject: Physics
A particle has potential energy dependent on its position on the \( x \) axis,
represented by the function \( U(x)= \)
\( e^{2 x}+1 \) for all real values of \( x \) where
\( U(x) \) and \( x \) are given in standard units.
The force it feels at position \( x=1 \) is
closest to
A. \( 7.39 N \)
B. \( 8.39 N \)
c. \( -8.39 N \)
D. \( 14.8 N \)
E. \( -14.8 N \)
Subject: Chemistry
For a sample of perfect gas when its pressure is changed isothermally from
\( p_{i} \) to \( p_{f}, \) the entropy change is given by:
A \( \cdot \Delta S=n R \ln \left(\frac{p_{f}}{p_{i}}\right) \)
в. \( \Delta S=n R \ln \left(\frac{p_{i}}{p_{f}}\right) \)
\( \mathbf{c} \cdot \Delta S=n R T \ln \left(\frac{p_{f}}{p_{i}}\right) \)
D. \( \Delta S=R T \ln \left(\frac{p_{i}}{p_{f}}\right) \)
Subject: Physics
Two spring of force constant \( 300 \mathrm{N} / \mathrm{m} \) (spring \( A \) ) and \( 400 \mathrm{N} / \mathrm{m} \) (spring \( \mathrm{B} \) ) are joined together in series. The combination is compressed by \( 8.75 \mathrm{cm} \) The ratio of energy stored in \( A \) and \( B \) is
\( \underline{E}_{\boldsymbol{B}_{\boldsymbol{B}}} \)
A \( \cdot \frac{4}{3} \)
в. \( \frac{16}{9} \)
\( c \cdot \frac{3}{4} \)
D. \( \frac{9}{16} \)
Subject: Maths
The ratio in which the line \( 3 x+4 y+ \)
\( 2=0 \) divides the distance between
\( 3 x+4 y+5=0 \) and \( 3 x+4 y-5=0 \)
A .7: 3
B. 3: 7
\( c \cdot 2: 3 \)
D. None of these
Subject: Physics
Then the displacement of the centre of mass \( \mathrm{m} \) at time \( \mathrm{t} \) is :
A \( \frac{F t^{2}}{2 m} \)
B. \( \frac{F t^{2}}{3 m} \)
c. \( \frac{F t^{2}}{4 m} \)
D. \( \frac{F t^{2}}{m} \)
Subject: Physics
A steel wire if \( 1 ~ m \) long and \( 1 m m^{2} \)
cross section area is hanged from rigid end when weight of \( 1 k g \) is hang from it, then change in length will be (Young's coefficient for wire \( \boldsymbol{Y}=\mathbf{2} \times \)
\( \left.\mathbf{1 0}^{\mathbf{1 1}} \mathbf{N} / \boldsymbol{m}^{2}\right) \)
A. \( 0.5 \mathrm{mm} \)
B. \( 0.25 \mathrm{mm} \)
c. \( 0.05 \mathrm{mm} \)
D. \( 5 m m \)
Subject: Maths
Number of real values of \( \left|\begin{array}{ccc}\mathbf{3}-\boldsymbol{x} & \mathbf{2} & \mathbf{2} \\ \mathbf{2} & \mathbf{4}-\boldsymbol{x} & \mathbf{1} \\ \mathbf{- 2} & \mathbf{- 4} & \mathbf{- 1}-\boldsymbol{x}\end{array}\right| \) is singular
then
\( A \cdot 1 \)
B. 3
\( c \cdot 2 \)
D. infinite
Subject: Physics
Water is flowing steadily through a horizontal tube of non-uniform cross-
section.If the pressure of water is \( 4 \times \) \( 10^{4} N / m m^{2} \) at a point when cross
section is \( 0.02 m^{2} \) velocity of flow is
\( 2 \mathrm{m} / \mathrm{s} \) what is pressure at a point where \( \operatorname{cross} \) section reduces to \( 0.01 m^{2} \)
A \( \cdot 1.4 \times 10^{4} N m^{2} \)
B. \( 3.4 \times 10^{4} N m^{2} \)
c. \( 2.4 \times 10^{-4} N m^{2} \)
D. none of these
Subject: Maths
In the adjoining figure, if line \( l \| m \) and
line \( n \) is the transversal, what is the
value of \( x \)
\( A \cdot 65 \)
в. \( 50^{\circ} \)
\( c \cdot 41^{0} \)
D. \( 130^{\circ} \)
Subject: Maths
If sum of the perpendicular distances of a variable point \( \boldsymbol{P}(\boldsymbol{x}, \boldsymbol{y}) \) from the lines
\( \boldsymbol{x}+\boldsymbol{y}-\mathbf{5}=\mathbf{0} \) and \( \mathbf{3} \boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\mathbf{7}=\mathbf{0} \) is
always \( 10 . \) Show that \( P \) must move on a
line.
Subject: Maths
Let \( A(-1,0) \) and \( B(2,0) \) be two points.
A point \( M \) moves in the plane in such a
way that \( \angle M B A=2 \angle M A B \). Then the
point \( M \) moves along
A. A straight line
B. A parabola
c. An ellipse
D. A hyperbola
Subject: Physics
The intrinsic charge carrier density in germanium crystal at \( 300 K i s 2.5 \times \) \( 10^{13} / \mathrm{cm}^{3} . \) density in an n-type
germanium crystal at \( 300 \mathrm{K} \) be \( 5 \times \)
\( 10^{16} / c m^{3}, \) the hole density in this n-type
crystal at \( 300 \mathrm{K} \) would be
A \( \cdot 2.5 \times 10^{13} / \mathrm{cm}^{3} \)
В. \( 5 \times 10^{6} / c m^{3} \)
c \( \cdot 1.25 \times 10^{10} / \mathrm{cm}^{3} \)
D. \( 0.2 \times 10^{4} / c m^{3} \)
Subject: Maths
The standard deviation of
\( \mathbf{9}, \mathbf{1 6}, \mathbf{2 3}, \mathbf{3 0}, \mathbf{3 7}, \mathbf{4 4}, \mathbf{5 1} \) is
A. 7
B. 9
c. 12
D. 14
E . 16
Subject: Chemistry
\( \boldsymbol{C H}_{2} \boldsymbol{O H C H O H C H}_{2} \boldsymbol{O H} \) is glycerol.
It doesn't contain
alcoholic group.
A . \( 1^{\circ} \)
B . \( 2^{\text {? }} \)
\( c \cdot 3^{0} \)
D. both \( 1^{0} \& 2^{0} \)
Subject: Physics
The important characteristic that
distinguishes uniform from non
uniform circular motion are
A. Uniform circular motion has radial acceleration and radial velocity, while non uniform motion lacks it
B. Uniform circular motion has radial acceleration and tangential velocity, while non uniform motion lacks it
C. Non uniform circular motion has tangential acceleration, while uniform circular motion lacks it
D. Non uniform circular motion has tangential acceleration and radial velocity, while uniform circular motion lacks it
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{1-\sin ^{3} x}{3 \cos ^{2} x}, \quad \text { if } \quad x<\frac{\pi}{2} \\ \begin{array}{ll}a, \quad i f \quad x=\frac{\pi}{2} & \quad \text { . If } f(x) \\ \frac{b(1-\sin x)}{(\pi-2 x)^{2}}, & \text { if } \quad x>\frac{\pi}{2}\end{array}\end{array}\right. \)
continuous at \( x=\frac{\pi}{2}, \) find \( a \) and \( b \)
Subject: Physics
A road is \( 8 m \) wide. Its average radius of
curvature is \( 40 m . \) The outer edge is
above the lower edge by a distance of
1.28m. Find the velocity for which the
road is most suited? \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
Subject: Physics
The mass of a planet is 4 times while its radius is 8 times that of the earth. If the weight of an object is \( 640 \mathrm{N} \) on earth, what will be its weight on the planet?
A. \( 40 \mathrm{N} \)
в. 80 N
\( c \cdot 160 N \)
D. 120 N
Subject: Physics
Figure shows three resistor configurations \( R 1, R 2 \) and \( R 3 \)
connected to \( 3 V \) battery. If the power
dissipated by the configuration \( \boldsymbol{R} \mathbf{1}, \boldsymbol{R} \mathbf{2} \) and \( R 3 \) is \( P 1, P 2 \) and \( P 3, \) respectively
then
A. \( P 1>P 2>P 3 \)
в. \( P 1>P 3>P 2 \)
c. \( P 2>P 1>P 3 \)
D. \( P 3>P 2>P 1 \)
Subject: Chemistry
\( \boldsymbol{C}+\boldsymbol{2} \boldsymbol{C u} \boldsymbol{O} \rightarrow \boldsymbol{X}+\boldsymbol{Y} \)
The compound \( X \) and \( Y \) are :
A. \( C O_{2}, 2 C u \)
в. \( C O, C u_{2} O \)
\( c . \) both \( A \) and \( B \)
D. none of the above
Subject: Chemistry
In which of the following species hyperconjugation is possible? Stability of carbocation, alkyl free radical and alkene can be explained on the basis of hyperconjugation. In all
these cases there is the presence of
hydrogen atom at the adjacent \( s p^{2} \)
hybridised carbon atom. Total no of
hyperconjugating structures depends upon the no of hydrogen atoms present
at adjacent carbon atom of \( s p^{2} c- \) atom
more the hyperconjugating structure more is the stability of ions.
\( \mathbf{A} \cdot C H_{3}-\stackrel{+}{C H_{2}} \)
B. \( C_{6} H_{5}-C H_{3} \)
\( \mathbf{c} \cdot C H_{2}=C H_{2} \)
D. \( \quad C H_{3}-C_{I_{3}}^{C H_{3}}-C H=C H_{2} \)
Subject: Maths
If \( \alpha, \beta \) are solutions of \( \sin ^{2} x+ \) \( a \sin x+b=0 \) and \( \cos ^{2} x+c \cos x+ \)
\( \boldsymbol{d}=\mathbf{0}, \) then \( \sin (\boldsymbol{\alpha}+\boldsymbol{\beta}) \) equals
A \( \cdot \frac{2 a c}{a^{2}+c^{2}} \)
B. \( \frac{a^{2}+c^{2}}{2 a c} \)
c. \( \frac{2 b d}{b^{2}+d^{2}} \)
D. \( \frac{b^{2}+d^{2}}{2 b d} \)
Subject: Chemistry
Assertion
The conversion of a fresh precipitate
into colloidal state by the action of solute or solvent is called peptisation.
Reason

Peptisation is a property of colloidal
state
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
\( D 5 W \) refers to one of the solution used
as an intravenous fluid. It is a \( 5 \% \) by
mass solution of dextrose, \( C_{6} H_{12} O_{6} \) in
water. The density of \( D 5 W \) is \( 1.08 g / m l \) The molarity of the solution is
\( \mathbf{A} \cdot 0.3 M \)
в. \( 0.6 M \)
c. \( 0.28 M \)
D. \( 0.26 ~ M \)
Subject: Chemistry
The boiling point of water at 735 torr is
\( 99^{\circ} \mathrm{C} . \) The mass of \( \mathrm{NaCl} \) added in 100
\( \operatorname{gmof} \sin \operatorname{tar}\left(K_{b}=0.51 K k g m o l^{-3}\right) \) to
make its boiling point at \( 100^{\circ} \mathrm{C} \) is:
A \( .10 .68 \mathrm{g} \)
B. \( 5.34 \mathrm{g} \)
c. 2.67 g
D. 26.7 g
Subject: Maths
Find the value of the constant \( k \) so that
the given function is continuous at the
indicated point:
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{l}\boldsymbol{k} \boldsymbol{x}+\mathbf{1}, \text { if } \boldsymbol{x} \leq \mathbf{5} \\ \boldsymbol{3} \boldsymbol{x}-\mathbf{5}, \text { if } \boldsymbol{x}>\mathbf{5}\end{array} \text { at } \boldsymbol{x}=\mathbf{5}\right. \)
Subject: Maths
Find 9 rational numbers between 2 and
3
\( \mathbf{A} \cdot 2<2.1<2.2<3.3<2.4<\ldots<2.9<3 \)
B . \( 2<4.1<2.2<2.3<2.4<\ldots<2.9<3 \)
c. \( 2<2.1<2.2<2.3<2.4<\ldots<2.9<3 \)
D. \( 2<2.1<2.2<2.3<2.4<\ldots<0.9<3 \)
Subject: Chemistry
The incorrect configuration is:
A. \( K=[A r] 4 s^{1} \)
B. \( C r=[A r] 3 d^{5}, 4 s^{1} \)
c. \( C r=[A r] 3 d^{4}, 4 s^{2} \)
D. \( C u=[A r] 3 d^{10}, 4 s^{1} \)
Subject: Chemistry
The value of Henry's law constant for
some gases at \( 293 K \) is given below. Arrange the gases in the increasing order of their solubility. \( \boldsymbol{H} \boldsymbol{e}= \)
\( \mathbf{1 4 4 . 9 7 k b a r} ; \mathbf{H}_{\mathbf{2}}=\mathbf{6 9 . 1 6 k b a} \)
\( N_{2}=76.48 k b a r ; O_{2}=34.86 k b a r \)
A. \( H e<N_{2}<H_{2}<O_{2} \)
B. \( O_{2}<H_{2}<N_{2}<H e \)
c. \( H_{2}<N_{2}<O_{2}<H e \)
D. \( H e<O_{2}<N_{2}<H_{2} \)
Subject: Maths
A function \( \boldsymbol{f}:[-\mathbf{3}, \mathbf{7}) \rightarrow \boldsymbol{R} \) is defined
as follows
\( f(x)=\left\{\begin{array}{cc}4 x^{2}-1 ; & -3 \leq x<2 \\ 3 x-2 ; & 2 \leq x \leq 4 \\ 2 x-3 ; & 4<x<7\end{array}\right. \)
(i) \( \boldsymbol{f}(\mathbf{5})+\boldsymbol{f}(\boldsymbol{6}) \)
(ii) \( \boldsymbol{f}(\mathbf{1})-\boldsymbol{f}(\mathbf{3}) \)
(iii) \( \boldsymbol{f}(-\mathbf{2})-\boldsymbol{f}(-\mathbf{4}) \)
(iv) \( \frac{\boldsymbol{f}(\mathbf{3})+\boldsymbol{f}(\mathbf{1})}{\mathbf{2} \boldsymbol{f}(\boldsymbol{6})-\boldsymbol{f}(\mathbf{1})} \)
Subject: Physics
A coil of 1200 turns and mean area of
\( 500 \mathrm{cm}^{2} \) is held perpendicular to a uniform magnetic field of induction
\( 4 \times 10^{-4} \mathrm{T} . \) The resistance of the coil is
20 ohms. When the coil is rotated
through \( 180^{0} \) in the magnetic field in 0.1
s, the average electric current (in \( \mathrm{mA} \) ) induced is :
A \( \cdot 12 \)
B. 24
\( c . \) 36
D. 48
Subject: Chemistry
Which reaction conditions would be
best for the synthesis of isobutyl sec-
butyl ether \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)-\boldsymbol{O} \)
\( \boldsymbol{C H}_{2} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)_{2} ? \)
A \( \cdot\left(C H_{3}\right)_{2} C H C H_{2} O H+H_{2} S O_{4}+ \) heat
B . \( C H_{3} C H_{2} C H\left(C H_{3}\right) O H+H_{2} S O_{4}+ \) heat
c. \( C H_{3} C H_{2} C H\left(C H_{3}\right) O N a+\left(C H_{3}\right)_{2} C H C H_{2} B r \)
D. \( \left(C H_{3}\right)_{2} C H C H_{2} O N a+C H_{3} C H_{2} C H\left(C H_{3}\right) B r \)
Subject: Physics
Find the velocity of the disc after the
collision.
A. \( v^{\prime}=\frac{4+\eta}{4+\eta} v \)
B. \( v^{\prime}=\frac{4-\eta}{4-\eta} v \)
\( ^{\mathrm{C}} \cdot v^{\prime}=\frac{4-\eta}{4+\eta} v \)
D. \( v^{\prime}=\frac{4+\eta}{4-\eta} v \)
Subject: Physics
At a given temperature and pressure 64
\( \mathrm{gm} \) of Oxygen and \( \mathrm{X} \mathrm{gm} \) of \( \mathrm{H}_{2} \) occupy the same volume. Then \( x=\ldots . . \) gm
\( A \cdot 1 \)
B. 2
\( c \cdot 3 \)
D. 4
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{1+\cos ^{2}\left(\boldsymbol{x}^{2}\right)}, \) then
\( f^{\prime}\left(\frac{\sqrt{\pi}}{2}\right) \) equal to
A \( \cdot \frac{\sqrt{\pi}}{6} \)
в. \( -\sqrt{\frac{\pi}{6}} \)
c. \( \frac{1}{\sqrt{6}} \)
D. \( \frac{\pi}{\sqrt{6}} \)
Subject: Physics
Find the total flux due to charge \( q \)
associated with the given
hemispherical surface
A \( \cdot(a) \frac{q}{2 \varepsilon_{0}},(b) 0,(c) \frac{q}{\varepsilon_{0}},(d) 0,(e) 0 \)
В \( \cdot(a) 0,(b) \frac{q}{2 \varepsilon_{0}},(c) 0,(d) \frac{q}{\varepsilon_{0}},(e) 0 \)
c. \( (a) \frac{q}{2 \varepsilon_{0}},(b) \frac{q}{\varepsilon_{0}},(c) 0,(d) \frac{q}{\varepsilon_{0}},(e) 0 \)
D. \( (a) 0,(b) \frac{q}{2 \varepsilon_{0}},(c) 0,(d) \frac{q}{\varepsilon_{0}},(e) \frac{q}{\varepsilon_{0}} \)
Subject: Physics
An infinite number of charges, each of
charge \( 1 \mu C \) are placed on the \( x \) -axis with co-ordinates \( x=1,2,4,8, \dots \dots \dots \) an charge of \( 1 \mathrm{C} \) is kept at the origin, then what is the net force acting on \( 1 \mathrm{C} \) charge
A. 9000 N
B. 12000 N
c. \( 24000 \mathrm{N} \)
D. 36000 N
Subject: Chemistry
Number of photons emitted in 10 hours
by \( 60 \mathrm{W} \) sodium lamp is \( \left(\lambda=5983 A^{\circ}\right) \)
A. \( 6.40 \times 10^{22} \)
B. \( 6.40 \times 10^{24} \)
c. \( 4.60 \times 10^{22} \)
D. \( 4.60 \times 10^{42} \)
Subject: Maths
The common ratio of the G.P.
\( \boldsymbol{a}^{m-\boldsymbol{n}}, \boldsymbol{a}^{\boldsymbol{m}}, \boldsymbol{a}^{\boldsymbol{m}+\boldsymbol{n}} \) is
\( \mathbf{A} \cdot a^{m} \)
B. \( a^{-m} \)
\( \mathbf{c} \cdot a^{n} \)
\( D \cdot a^{-n} \)
Subject: Physics
From a unifrom disc of radius \( R \) an
equilateral triangle of side \( \sqrt{3} R \) is cut
as shown. The new position of centre of mass is
A \( \cdot(0,0) \)
в. \( (0 . R) \)
c. \( (R, 0) \)
\( 0 . \frac{\sqrt{3}}{28} \)
Subject: Physics
Assertion
Charge on all the condensers connected in series is the same
Reason
Capacitance of capacitor is directly proportional to charge on it
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
A body of mass \( 4 \mathrm{kg} \) moving with a velocity of \( 9 \mathrm{m} / \mathrm{s} \). Collides with a body of \( 8 \mathrm{kg} \) at rest. The coefficient of restitution is \( 0.33 . \) After collision the
velocity of body having mass \( 4 \mathrm{kg} \) is:
\( A \cdot 1 \mathrm{m} / \mathrm{s} \)
B. \( 4 \mathrm{m} / \mathrm{s} \)
\( c \cdot 3 m / s \)
D. \( 9 \mathrm{m} / \mathrm{s} \)