AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A copper ball of radius \( 1 \mathrm{cm} \) work
function \( 4.47 e V \) is irradiated with
ultraviolet radiation of wavelength \( 2500 A \). The effect of irradiation results
in the emission of electrons from the
ball. Further the ball will require charge and due to this there will be finite value
of the potential on the ball. The charge acquired by the ball is:
A \( .5 .5 \times 10^{-13} \mathrm{C} \)
В. \( 7.5 \times 10^{-13} C \)
c. \( 4.5 \times 10^{-12} \mathrm{C} \)
D. \( 2.5 \times 10^{-11} C \)
Subject: Maths
Degree of the polynomial \( 4 x^{4}+0 x^{3}+ \)
\( \mathbf{0} \boldsymbol{x}^{\boldsymbol{5}}+\mathbf{5} \boldsymbol{x}+\mathbf{7} \) is
A . 4
B. 5
\( c \cdot 3 \)
D.
Subject: Maths
The angle that the vector \( \vec{A}=2 \hat{i}+3 \hat{j} \)
makes with \( x \) -axis is
\( A \cdot \tan ^{-1}(3 / 2) \)
B \cdot \( \tan ^{-1}(2 / 3) \)
\( c \cdot \sin ^{-1}(2 / 3) \)
D \( \cdot \cos ^{-1}(3 / 2) \)
Subject: Chemistry
Write the IUPAC name of
\( \boldsymbol{O} \boldsymbol{H} \)
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\quad \boldsymbol{C} \quad-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
\( \mid \)
\( \boldsymbol{C H}_{3} \)
A. 3-Methylpentan-3-ol
B. 3-Hydroxyhexane
c. 3-Hydroxy-3-methyl pentane
D. All of the above
Subject: Physics
A student is asked to connected four
cells of e.m.f of \( 1 \mathrm{V} \) and internal
resistance 0.5 ohm in series with an
external resistance of 1 ohm. But one
cell is wrongly connected by him with its terminal reversed. the current in the
circuit is
A \( \cdot \frac{1}{3} A \)
в. \( \frac{2}{3} A \)
c. \( \frac{3}{4} \)
D. \( \frac{4}{3} \)
Subject: Chemistry
Solubility of \( M X_{2} \) -type electrolytes is
\( 0.5 \times 10^{-4} \) mol/L. Then find out \( K_{s p} \) of
electrolyte :
A . \( 5 \times 10^{-12} \)
В. \( 25 \times 10^{-10} \)
c. \( 1 \times 10^{-13} \)
D. \( 5 \times 10^{-13} \)
Subject: Maths
If the different permutations of all the letter of the words \( \boldsymbol{E} \boldsymbol{X} \boldsymbol{A} \boldsymbol{M} \boldsymbol{I} \boldsymbol{N} \boldsymbol{A} \boldsymbol{T} \boldsymbol{I} \boldsymbol{O} \boldsymbol{N} \)
are listed as in a dictionary, how many words are there in this list before the
first word starting with \( \boldsymbol{E} \) ?
Subject: Chemistry
If 2.5 moles of zinc react with 6.0 moles
of hydrochloric acid react in the
equation \( Z n+2 H C l \rightarrow Z n C l_{2}+H_{2} \)
what is the limiting reactant?
A \( . Z n \)
в. НС l
c. \( H_{2} \)
D. \( Z n C l \)
E . \( Z n H \)
Subject: Chemistry
There are four complexes of Ni. Select the complex(es) which will be attracted by a magnetic field.
(1)\( \left[N i(C N)_{4}\right]^{2-} \)
(II) \( \left[N i C l_{4}\right]^{2-} \)
\( \left[N i(C O)_{4}\right] \quad(I V)\left[N i\left(H_{2} O\right)_{6}\right]^{2+} \)
A. I only
B. IV only
c. ॥, Ill and IV
D. II and IV
Subject: Chemistry
Geometric shapes of the complexes \( (p) \)
(q) and (r) formed by the following
reactions respectively are:
\( \boldsymbol{C u}^{2+}(\boldsymbol{a q})+\boldsymbol{K} \boldsymbol{C} \boldsymbol{N}(\boldsymbol{a} \boldsymbol{q})(\boldsymbol{e} \boldsymbol{x} \boldsymbol{c} \boldsymbol{e} \boldsymbol{s} \boldsymbol{s}) \rightarrow \)
\( \operatorname{complex}(p) \)
\( \boldsymbol{C o}^{2+}(\boldsymbol{a q})+\boldsymbol{K} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{s})+\boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( \operatorname{complex}(\boldsymbol{q}) \)
\( Z n^{2+}(a q)+N a O H(a q)(e x c e s s) \rightarrow \)
\( \operatorname{complex}(r) \)
A. Tetrahedral, octahedral and square planar
B. Tetrahedral, octahedral and tetrahedral
C. Square planar, octahedral and tetrahedral
D. Octahedral, octahedral and tetrahedral
Subject: Maths
Find the values of \( a \) and \( b \) so that the
points \( (\boldsymbol{a}, \boldsymbol{b}, \mathbf{3}),(\mathbf{2}, \mathbf{0},-\mathbf{1}) \) and
(1,-1,-3) are collinear. This question has multiple correct options
A \( . a=4, b=2 \)
В. \( a=0, b=2 \)
c. \( a=4, b=-2 \)
\begin{tabular}{l} 
D. \( a=-4, b=-2 \) \\
\hline
\end{tabular}
Subject: Chemistry
Which combination is odd with respect
to oxidation number?
\( \mathbf{A} \cdot H_{2} S O_{4}, H_{2} S_{2} O_{8}, K_{2} C r_{2} O_{7}, S F_{6} \)
B. \( K_{2} C r_{2} O_{7}, K_{2} C r O_{4}, C r O_{5}, C r O_{2} C l_{2} \)
\( \mathbf{C} \cdot N H_{3}, N H_{4}^{+}, N_{3} H, N O_{2}^{-} \)
\( \mathbf{D} \cdot C a H_{2}, B a H_{2}, B e H_{2}, M g H_{2} \)
Subject: Chemistry
Bleaching powder \( \left(C a O C l_{2}\right) \) has two types of chlorine atoms with oxidation
number of +1 and \( -1 . \) It can be
represented as:
A \( \cdot C a^{2+}\left(C l O_{2}^{-}\right) C l^{-} \)
в. \( C a^{2+}\left(C l O_{3}^{-}\right) C l^{-} \)
c. \( C a^{2+}\left(C l O^{+}\right) C l^{-} \)
D. \( C a^{2+}\left(C l O^{-}\right) C l^{-} \)
Subject: Maths
If the two lines represented by \( x^{2}\left(\tan ^{2} \theta+\cos ^{2} \theta\right)-2 x y \tan \theta+ \)
\( \boldsymbol{y}^{2} \sin ^{2} \boldsymbol{\theta}=\mathbf{0} \) make angles \( \boldsymbol{\alpha}, \boldsymbol{\beta} \) with the
\( x \) -axis, then
This question has multiple correct options
\( A \cdot \tan \alpha+\tan \beta=4 \operatorname{cosec} 2 \theta \)
\( \mathbf{B} \cdot \tan \alpha \tan \beta=\sec ^{2} \theta+\tan ^{2} \theta \)
c. \( \tan \alpha-\tan \beta=2 \)
D. \( \frac{\tan \alpha}{\tan \beta}=\frac{2+\sin 2 \theta}{2-\sin 2 \theta} \)
Subject: Physics
A uniform cylinder has a radius R and
length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular
face is equal to the moment of the same cylinder about an axis passing through its centre and perpendicular to its length, then
A \( . L=R \)
B. \( L=\sqrt{3} R \)
c. \( L=\frac{R}{\sqrt{3}} \)
D. \( L=\sqrt{\frac{3}{2}} R \)
Subject: Physics
When a weight of \( 10 \mathrm{kg} \) is suspended
from a copper wire of length \( 3 m \) and diameter 0.4 mm. Its length increases
by \( 2.4 \mathrm{cm} . \) If the diameter of the wire is doubled, then the extension is its length
will be :
A \( .7 .6 \mathrm{cm} \)
в. \( 4.8 \mathrm{cm} \)
c. \( 1.5 \mathrm{cm} \)
D. \( 0.6 \mathrm{cm} \)
Subject: Maths
In the given figure, \( P Q \mathrm{cm}, M \) is the
mid-point of \( \boldsymbol{Q} \boldsymbol{R} \) ?
Also, \( M N \perp P R, Q S=7 \mathrm{cm} \) and \( T R= \)
\( 21 c m, \) then \( M N=? \)
\( \mathbf{A} \cdot 14 \mathrm{cm} \)
\( \mathbf{B} \cdot 12.5 \mathrm{cm} \)
c. \( 31 \mathrm{cm} \)
D. 25 cm
Subject: Chemistry
The total number of isomers including stereoisomers for 1,3-dimethyl cyclohexane is
A. \( 2, \) cis and trans both optically inactive
B. 3, one cis and two optically active trans forms
c. 3 , one trans and two optically active cis forms
D. \( 4, \) two cis (optically active) and two trans (optically active
Subject: Physics
A book of mass \( 5 \mathrm{kg} \) is placed on a table and it is pressed by \( 10 \mathrm{N} \) force then normal force exerted by the table on the book is
A . 10 N
в. 70 N
\( c . \) 59 \( \mathrm{N} \)
D. 50 N
Subject: Physics
A solid cylinder of length L and radius \( r \)
is heat upto same temperature as that of a cube of edge length a. If both have
same material, volume and allowed to
cool under similar conditions, then ratio
of amount of radiations radiated will be
(Neglect radiation emitted from flat surfaces of the cylinder)
A \( \cdot \frac{a}{3 r} \)
B. \( \frac{2 a}{r L} \)
c. \( \frac{a^{2}}{r L} \)
D. \( \frac{\pi a^{2}}{2 r L} \)
Subject: Chemistry
Statement 1: The hybrid orbital form of carbon in acetylene is believed to be the
sp form.
Statement \( 2: C_{2} H_{2} \) is a linear compound with a triple bond between the carbons.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both 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
300 gm of water at \( 25^{\circ} \mathrm{C} \) is added to 100
\( \mathrm{gm} \) of ice at \( 0^{\circ} \mathrm{C} \). Final temperature of the mixture is:
A \( \cdot-\frac{5^{\circ}}{3} C \)
В. \( -\frac{5^{\circ}}{2} C \)
\( \mathbf{c} \cdot-5^{\circ} C \)
D. \( 0^{\circ} \mathrm{C} \)
Subject: Physics
A uniform disc of mass \( M \) and radius \( R \)
is suspended in vertical plane from a point on its periphery. Its time period of oscillation is
A \( \cdot 2 \pi \sqrt{\frac{3 R}{g}} \)
в. \( 2 \pi \sqrt{\frac{R}{3 g}} \)
\( ^{\mathrm{c}} \cdot_{2 \pi} \sqrt{\frac{2 R}{3 g}} \)
D. \( 2 \pi \sqrt{\frac{3 R}{2 g}} \)
Subject: Chemistry
Which of the following reacts slower than benzene in electrophilic substitution?
A \( \cdot C_{6} H_{5} C H_{3} \)
в. \( C_{6} H_{5} N O_{2} \)
\( \mathbf{c} \cdot C_{6} H_{5} O H \)
D. \( C_{6} H_{5} N H_{2} \)
Subject: Chemistry
Assertion
2,4-Dimethyl hex-2-ene has 4
stereoisomer
Reason
It show geometrical isomerism
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
\( 5.5 m g \) of nitrogen gas dissolves in \( 180 g \) of water at \( 273 K \) and one atm
pressure due to nitrogen gas. The mole fraction of nitrogen in \( 180 g \) of water at
5 atm nitrogen pressure is approximately:
A \( \cdot 1 \times 10^{-5} \)
B. \( 1 \times 10^{-4} \)
c. \( 1 \times 10^{-6} \)
D. \( 1 \times 10^{-3} \)
Subject: Maths
A complex number \( z \) is said to be
unimodular if \( |z|=1 . \) Suppose \( z_{1} \) and
\( z_{2} \) are complex numbers such that \( \frac{z_{1}-2 z_{2}}{2-z_{1} \bar{z}_{2}} \) is unimodular and \( z_{2} \) is not
unimodular. Then the point \( z_{1} \) lies on a
A. straight line parallel to x-axis
B. straight line parallel to y-axis
c. circle of radius 2
D. circle of radius \( \sqrt{2} \)
Subject: Physics
Figure shows a parallel beam of monochromatic light incident on a convex spherical surface, radius of
curvature \( \boldsymbol{R}=\mathbf{3} \mathbf{0} \mathrm{cm}, \) which separates
glass(refractive index \( =1.6 \) ) from air.
Find the position of the image formed due to refraction of light at this single
spherical surface
Subject: Physics
An electron moves on a straight line
path \( Y Y^{\prime} \) as shown in figure. A coil is
kept in the right such that \( Y Y^{\prime} \) is in the
plane of the coil. At the instant when the
electron gets closest to the coil (neglect self-induction of the coil),
A. the current in the coil flows clockwise
B. the current in the coil flows anticlockwise
c. the current in the coil is zero
D. the current in the coil does not change the direction as the electron crosses point \( O \)
E. answer required
Subject: Maths
The integral \( \int \frac{d x}{a \cos x+b \sin x} \) is of the
form \( \frac{1}{r} \ln \left[\tan \left(\frac{x+\alpha}{2}\right)\right] \)
What is \( \alpha \) equal to?
A \( \cdot \tan ^{-1}\left(\frac{a}{b}\right) \)
B. \( \tan ^{-1}\left(\frac{b}{a}\right) \)
c. \( \tan ^{-1}\left(\frac{a+b}{a-b}\right) \)
D. \( \tan ^{-1}\left(\frac{a-b}{a+b}\right) \)
Subject: Physics
A travelling wave has a velocity of 400 \( \mathrm{m} / \mathrm{s} \) and has a wavelength of \( 0.5 \mathrm{m} \) What is the phase difference between two points in the wave that are 1.25 milli
secs apart
A \( .2 \pi \)
в. \( 2 \pi / 3 \)
c. \( 2 \pi / 5 \)
D. \( \pi / 6 \)
Subject: Maths
Water in a canal, \( 30 d m \) wide and
\( 12 d m \) deep, is flowing with a speed of
10 \( k m / \) hour. How much area will it irrigate in 30 minutes, if 8 cm of
standing water is required for irrigation
A \( \cdot 220500 m^{2} \)
B . \( 22500 m^{2} \)
c. \( 220000 m^{2} \)
D. 225000 \( m^{2} \)
Subject: Physics
A proton is moving with velocity \( 10^{4} m / s \) parallel to the magentic field of
intensity 5 tesla.The force on the proton
is
A. \( 8 \times 10^{-15} N \)
B . \( 10^{4} N \)
c. \( 1.6 \times 10^{-19} N \)
D. zero
Subject: Chemistry
Combustion of \( 3.10 g \) of phosphorous
produces a white, waxy solid with a mass of \( 5.50 g . \) What is the empirical formula for the compound produced in this reaction?
\( \mathbf{A} \cdot P_{4} O_{7} \)
в. \( P_{2} O_{5} \)
c. \( P O \)
D. \( P_{2} O_{3} \)
Subject: Maths
Which one of the following statements
is correct?
\( \mathbf{A} \cdot \mathbf{G}_{1}>\mathbf{G}_{2}>\mathbf{G}_{3}> \)
B \( \cdot \mathrm{G}_{1}<\mathrm{G}_{2}<\mathrm{G}_{3}<\ldots \)
c. \( \mathrm{G}_{1}=\mathrm{G}_{2}=\mathrm{G}_{3}= \)
D. \( G_{1}<G_{3}<G_{5}<\ldots \) and \( G_{2}>G_{4}>G_{6}>\ldots \)
Subject: Maths
Find the mean of the following frequency distribution:
\( \begin{array}{lllll}\text { Class } & 0- & 10- & 20- & 30- \\ \text { interval: } & 10 & 20 & 30 & 40\end{array} \) 10 Frequency: \( \quad 9 \quad 12 \quad 15 \)
Subject: Maths
The rate of growth of population of a city at any time is proportional to the size of the population at that time. For a certain city, the consumer of proportionality is \( 0.04 . \) The population of the city after 25 years, if the initia population is 10,000 is \( (e=2.7182) \)
\( \mathbf{A} \cdot 27182 \)
B. 27164
c. 27000
D. 27272
Subject: Chemistry
For the chemical
reaction, equilibrium was established by taking 4 moles of \( A \) and 6 moles of \( B \) initially. If at equilibrium total pressure is 10 atm and equilibrium constant of the reaction is \( \frac{10^{39}}{6} \) at \( m^{4} \), then value of
\( \left[\frac{P_{C}+P_{D}}{2}\right] \) at equilibrium is:
\[
2 A(g)+3 B(g) \rightleftharpoons 4 C(g)+5 D(g)
\]
Subject: Physics
incident on a coated glass plate. If \( 25 \% \) of the incident light is reflected from
the upper surface and \( 50 \% \) of light is
reflected from the lower surface of the
glass plate, the ratio of maximum to
minimum intensity in the interference
region of the reflected light is
\( A \)
B.
\( c \cdot \frac{5}{8} \)
\( D \cdot 8 \)
\( \overline{5} \)
Subject: Chemistry
Si of high purity to be used in
semiconductor can be prepared by following methods:
\( . S i O_{2}+2 C \rightarrow S i+2 C O \)
॥. \( S i+2 C l_{2} \rightarrow S i C l_{4} \)
\( S i C l_{4}+2 M g \rightarrow S i+2 M g C l_{2} \)
Better method is :
\( A \)
B. ॥
c. both (A) and (B)
D. None of these
Subject: Physics
Two sound sources produce progressive
waves given by \( y_{1}=12 \cos (100 \pi t) \) and
\( \boldsymbol{y}_{2}=4 \cos (102 \pi t) \) near the ear of an
observer. When sounded together, the observer will hear:
A. 2 beats per second with an intensity ratio of maximun to minimum nearly 4:
B. 1 beat per second with an intensity ratio of maximumm to minimum nearly \( \sqrt{2}: 1 \)
c. 2 beats per second with an intensity ratio of maximun to minimum nearly 9 :
D. 1 beat per second with an intensity ratio of maximumm to minimum nearly 4:
Subject: Physics
The diagram shows the displacement
time graph for a particle moving in a
straight line. The average velocity for
the internalt \( =\mathbf{0}, \boldsymbol{t}=\mathbf{5} \)
\( A \)
3. \( 6 m / s 6 m / s \)
\( \mathrm{c} .-2 m / s \)
D. \( 2 m / s \)
Subject: Maths
Area lying between the curve \( y^{2}=4 x \)
and \( \boldsymbol{y}=\mathbf{2} \boldsymbol{x} \) is :
A \( \cdot \frac{2}{3} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{4} \)
D. \( \frac{3}{4} \)
Subject: Maths
Examine the table. (Each figure is
divided into triangles and the sum of the angles deduced from that)

What can you say about the angle sum
of a convex polygon with the number of
\( \operatorname{sides}(n)=8 ? \)
\begin{tabular}{|l|c|c|c|c|}
\hline Figure & & & & & \\
\hline side & 3 & & & & \\
\hline Ange sum & \( 180^{\circ} \) & \( 2 \times 180^{\circ} \) & 5 & 6 \\
\hline
\end{tabular}
A \( .720^{\circ} \)
B. \( 960^{\circ} \)
\( c \cdot 1020^{\circ} \)
D. \( 1080^{\circ} \)
Subject: Chemistry
Lead obtained from galena ore (PbS) by
air reduction or carbon reduction
process contains base metal (Cu, Bi, As, Sn, \( Z n \) ) as impurities. Gelatin acts as an addition agent in the electrolysis of
Pb. In the presence of gelatin, Pb becomes:
A. hard and brittle
B. soft and rubbery
c. smooth and uniform
D. only brittle
Subject: Physics
Radiations of two different frequencies
whose photon energies are \( 3.4 e V \) and \( 8.2 e V \) successive illuminate a metal
surface whose work function is \( 1.8 e V \)
The ratio of the maximum speeds of the
emitted electrons will be:
A . 1: 1
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4
Subject: Physics
A hoop of mass \( 500 g \) and radius \( 10 c m \)
is placed on a nail, then the moment of
inertia of the hoop, when is rotated
about the nail will be \( _{--}-_{--} k g m^{2} \)
A . 0.05
B. 0.02
c. 0.01
D. 0.03
Subject: Physics
A man crosses the river, perpendicular
to river flow in time \( t \) seconds and
travels an equal distance down the stream in \( T \) second. The ratio of man's
speed in still water to the speed of river
water will be:
\( ^{A} \cdot \frac{t^{2}-T^{2}}{t^{2}+T^{2}} \)
в. \( \frac{T^{2}-t^{2}}{T^{2}+t^{2}} \)
c. \( \frac{t^{2}+T^{2}}{t^{2}-T^{2}} \)
D. \( \frac{T^{2}+t^{2}}{T^{2}-t^{2}} \)
Subject: Chemistry
The mole fraction of a solute in a
solution is \( 0.1 . \) At \( 298 \mathrm{K} \), molarity of this solution is the same as its molality Density of this solution at \( 298 K \) is
\( 2.0 g \mathrm{cm}^{-3} . \) The ratio of the molecular
weights of the solute and solvent, \( \left(\frac{M W_{\text {solute}}}{M W_{\text {solvent}}}\right) \) is:
Subject: Maths
If the position vector \( \vec{a} \) of the point \( (5, n) \) is such that \( |\vec{a}|=13 \), then the
value/values of \( n \) be
\( \mathbf{A} \cdot \pm 8 \)
B. ±12
c. 8 only
D. 12 only
Subject: Physics
Which is incorrect?
\( \mathbf{A} \cdot K \cdot E \cdot \propto(\operatorname{moment} u m)^{2} \)
B. \( K . E . \propto(\text {velocity})^{2} \)
C. \( K . E . \propto(\operatorname{mas} s)^{2} \)
D. \( K . E . \propto \) mass
Subject: Chemistry
State Faraday's first law of electrolysis. Write any 'two' uses of each of the following
(a) \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
(b) Chlorine
Distinguish between crystalline solids and amorphous solids. A solution of a substance having mass \( 1.8 \times 10^{-3} k g \) has the osmotic pressure
of 0.52 atm at \( 280 \mathrm{K} \). Calculate the
molar mass of the substance used.
[Volume \( =1 d m^{3}, R= \)
\( \left.8.314 J K^{-1} m o l^{-1}\right] \)
Subject: Maths
Using \( (\boldsymbol{x}+\boldsymbol{a})(\boldsymbol{x}+\boldsymbol{b})=\boldsymbol{x}^{2}+(\boldsymbol{a}+ \)
\( b) x+a b, \) find
\( 12.1^{2}-7.9^{2} \)
A . 97
B. 65
\( c \cdot 34 \)
\( D \cdot 84 \)
Subject: Maths
If the eccentricity of the hyperbola \( x^{2}- \) \( y^{2} \sec ^{2} \alpha=5 \) is \( \sqrt{3} \) times the
eccentricity of the ellipse \( \boldsymbol{x}^{2} \mathbf{s e c}^{2} \boldsymbol{\alpha}+ \)
\( \boldsymbol{y}^{2}=25, \) then the value of \( \boldsymbol{\alpha} \) is
\( \mathbf{A} \cdot \pi / 6 \)
в. \( \pi / 4 \)
c. \( \pi / 3 \)
D. \( \pi / 2 \)
Subject: Chemistry
Assertion
A special line will be seen for \( 2 p_{x}-2 p_{y} \)
transition.
Reason
Energy is released in the form of wave of
light when the electron drops from \( 2 p_{x} \)
to \( -2 p_{y} \) orbital.
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
along a diameter of a conducting ring of
radius \( 0.1 m \) and lies on \( x \) -y plane. There
is a magnetic field \( \vec{B}=(50 T) \hat{K} . \) The
ring rotates with an angular velocity
\( \omega=20 r a d s^{-1} \) about its axis. An
external resistance of \( 10 \Omega \) is connected
across the center of the ring and rim.
The current through external resistance
is:
\( \mathbf{A} \cdot \frac{1}{4} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{3} \)
D. zero
Subject: Maths
Find the centre and radius of the circle
\( x^{2}+y^{2}-4 x-8 y-45=0 \)
\( \mathbf{A} \cdot(2,6), \sqrt{63} \)
B . \( (2,4), \sqrt{65} \)
c. \( (2,-4), \sqrt{66} \)
D. None
Subject: Physics
Whend \( \approx a \) but wires are not touching
the loop, it is found that the net magnetic field on the axis of the loop is
zero at a height \( h \) above the loop. In that
case :
A. Current in wire 1 and wire 2 is in the direction PQ and RS, respectively such \( h \approx a \)
B. Current in wire 1 and wire 2 is in the direction PQ and
SR, respectively and \( h \approx a \)
c. current in wire 1 and wire 2 is in the direction PQ and SR, respectively and \( h \approx 1.2 a \)
D. Current in wire 1 and wire 2 is in the direction PQ and
RS, respectively and \( h \approx 1.2 a \)
Subject: Physics
Assertion
On satellites we feel weightlessness. Moon is also a satellite of earth. But we
do not feel weightlessness on moon.
Reason
Mass of moon is considerable.
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
Out of 50 tickets numbered
\( 00,01,02, \ldots ., 49 \) one ticket is drawn randomly, the probability of the ticket
having the product of its digits 7 given that the sum of the digits is \( 8, \) is
A \( \cdot \frac{1}{14} \)
B. \( \frac{3}{14} \)
\( c \cdot \frac{1}{5} \)
D. None of these
Subject: Physics
A conductor AB of length \( l \) carrying a
current \( i \) is placed perpendicular to a
long straight conductor XY carrying a
current \( I \) as shown. The force on \( A B \) will
be :
A \( \cdot \frac{\mu_{0} l i}{2 \pi} \log 2 \)
B \( \cdot \frac{\mu_{0} l i}{2 \pi} \log 3 \)
c. \( \frac{3 \mu_{0} l i}{2 \pi} \)
D. \( \frac{2 \mu_{0} l i}{3 \pi} \)
Subject: Chemistry
Which statements is/are correct?
i. \( \quad \) Me \( \overbrace{(\mathbf{A})}^{\wedge} C l \frac{N a N O_{2}}{E t O H} \)
ii. \( \mathbf{M e} \widehat{\mathbf{O}}^{\mathbf{N}} \mathbf{C l} \frac{\mathbf{N a N O}_{\mathbf{2}}}{\mathbf{E} \mathbf{t} \mathbf{O} \mathbf{H}} \)
\( (\mathrm{C}) \)
A. Both reactions ( \( i \) ) and
(ii) proceed via \( S_{N} 2 \) mechanism
B. Both reactions (i) and (ii) proceed via \( S_{N} 1 \) mechanism
C. Reactions ( \( i \) ) proceeds via \( S_{N} 1 \) and reaction (ii) proceed via \( S_{N} 2 \) mechanism
D. Reactions ( \( i \) ) proceeds via \( S_{N} 2 \) and reaction (ii) proceed via \( S_{N} 1 \) mechanism
Subject: Chemistry
Assertion
Helium shows only positive deviations
from ideal behaviour.
Reason

Helium is an inert gas.
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
The area of the portion of the circle
\( x^{2}+y^{2}=1, \) which lies inside the
parabola \( \boldsymbol{y}^{2}=\mathbf{1}-\boldsymbol{x}, \) is
A \( \cdot \frac{\pi}{2}-\frac{2}{3} \)
B. \( \frac{\pi}{2}+\frac{2}{3} \)
c. \( \frac{\pi}{2}-\frac{4}{3} \)
D. \( \frac{\pi}{2}+\frac{4}{3} \)
Subject: Physics
A person travelled a distance of \( 3 \mathrm{km} \)
along a straight line in the North direction. Then he travelled \( 2 \mathrm{km} \) in
west direction and then \( 5 \mathrm{km} \) in south
direction.The magnitude of the displace-ment of this person would be
A. \( 2 \sqrt{2} \mathrm{km} \)
B. \( 3 \sqrt{2} \) Кт
c. \( 4 \sqrt{2} \) кт
D. 10 Km
Subject: Maths
Find the value of \( \frac{d y}{d x} \) at \( \theta=\frac{\pi}{4} \) if \( x= \) \( \boldsymbol{a} e^{\theta}(\sin \theta-\cos \theta) \) and \( y=a e^{\theta}(\sin \theta+ \)
\( \cos \theta) \)
Subject: Maths
The characteristic equation of a matrix \( A \) is \( \lambda^{3}-5 \lambda^{2}-3 \lambda+2 I=0 \) then
\( |\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}|= \)
\( \mathbf{A} \cdot \mathbf{4} \)
B . 25
c. 9
D. 30