AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
An \( \alpha- \) particle passes through a
potential difference of \( 2 \times 10^{6} V \) and
then it becomes incident on a silver foil.
The charge number of silver is \( 47 . \) The energy of incident particles will be (in joules)
A \( .5 \times 10^{-12} \)
B. \( 6.4 \times 10^{-13} \)
c. \( 5.8 \times 10^{-14} \)
D. \( 9.1 \times 10^{-15} \)
Subject: Maths
If \( f(x)=(a x+b) \cos x+(c x+d) \sin x \)
and \( f^{\prime}(x)=x \cos x, \) for all values of \( x \in \)
\( R, \) then \( a, b, c, d \) are given by
A \( a=b=c=d \)
\( d \)
в. 0,1,-1,0
c. 1,0,-1,0
D. 0,1,1,0
Subject: Maths
STATEMENT 1: In a \( \Delta A B C, a, b, c \) denotes lengths of the sides and \( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0} \) then the triangle is
equilateral triangle.
STATEMENT 2: Sum of three non-
negative numbers \( =0 \Rightarrow \) each number
is zero.
A. Statement-1 is true, Statement-2 is true, Statement-2 is correct explanation of Statement-
B. Statement-1 is true, Statement-2 is true, Statement-2 is not correct explanation for Statement-
c. Statement-1 is true, Statement-2 is false
D. Statement-1 is false, Statement-2 is true
Subject: Physics
Calculate the area of the plates of a one
farad parallel plate capacitor if separation between plates is \( 1 \mathrm{mm} \) and plates are in vacuum:
A \( \cdot 18 \times 10^{8} m^{2} \)
B . \( 0.3 \times 10^{8} m^{2} \)
c. \( 1.3 \times 10^{8} m^{2} \)
D. \( 1.13 \times 10^{8} m^{2} \)
Subject: Physics
Why is a photo-diode invariably reverse
biased, when it is used as a photo-
detector?
A. The power consumption is much reduced compared to reverse biased condition
B. Electron hole pairs can be produced by the incident photons only if the photo diode is reverse biased
C. Light variations can be converted into current variations only if the photo diode is reverse biased
D. When photons are incident on the diode, the fractional change in the reverse current is much greater than the fractional change in the forward current
E. The photo diode will be spoilt if it is operated under forward biased condition
Subject: Chemistry
4 molecules of gas have speeds of \( 1,2,3,4 \mathrm{cm} / \mathrm{s} \) respectively. The root mean square velocity is:
A. \( \sqrt{7.5} \mathrm{cm} / \mathrm{s} \)
B. 30 cm/s
c. \( 45 \mathrm{cm} / \mathrm{s} \)
D. \( 15 \mathrm{cm} / \mathrm{s} \)
Subject: Physics
A pendulum having a bob of mass m is hanging in a ship sailing along the equator from east to west. When the
ship is stationary with respect to water,
the tension in the string is \( T_{0} . \) Find the difference between tension when the
ship is sailing with a velocity \( v \)
A . mv
B. 2 mv \( \omega \)
c. \( \frac{m v \omega}{2} \)
D. \( \sqrt{2} m v \omega \)
Subject: Chemistry
Assertion
Chlorination of water helps in its sterilization.
Reason
On passing chlorine into water it kills germs due to its storing oxidizing action.
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: Biology
Read the following statements and find out the incorrect statement.
A) Genetics deals with the inheritance
as well as variation of characters from
parents to offspring
B) Variation is the process by which characters are passed on from parent to
progeny
C) Inheritance is the basis of heredity
D) Inheritance is the degree by which
progeny differ from their parents
E) Human knew from as early as
\( 8000-10000 B . C . \) that one of the
causes of variation was hidden in
sexual reproduction
\( A \cdot B, D \) and \( E \) only
B. A, C and E only
C. B and D only
D. E only
Subject: Biology
Assertion
There is a decrease in photosynthesis if the photosynthetic cells are illuminated
by light of \( P_{680} \) nm or more wavelength
Reason
In red drop phenomenon the rate of photosynthesis decrease
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
A cylinder of radius \( R \) is to roll without
slipping between two planks as shown in the figure, Then
This question has multiple correct options
A. angular velocity of the cylinder is \( \frac{v}{R} \) counter clockwise
B. angular velocity of the cylinder is \( \frac{2 v}{R} \) clockwise
c. velocity of centre of mass of the cylinder is v towards left
D. velocity of centre of mass of the cylinder is \( 2 v \) towards right
Subject: Maths
Draw a circle with centre \( O \) and radius
\( 6 \mathrm{cm} . \) Take a point \( P \) outside the circle
at a distance of \( 10 \mathrm{cm} \) from \( 0 . \) Draw
tangents to the circle from point \( P . \) Let
the tangents intersect the circle in points \( A \) and \( B . \) Find \( B P \)
A \( .6 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
c. \( 8.5 \mathrm{cm} \)
D. None of these
Subject: Physics
If resistance of wire at \( 50^{\circ} \mathrm{C} \) is \( 5 \mathrm{R} \Omega \) and
\( 100^{\circ} \mathrm{C} \) is \( 6 \mathrm{R} \Omega, \) find resistance of \( 0^{\circ} \mathrm{C} \)
Subject: Physics
In Young's double slit experiment, the slits are \( 2 \mathrm{mm} \) apart are illuminated by
photons of two wavelengths \( \boldsymbol{I}_{1}= \) \( 12000 A \) and \( I_{2}=10000 A \) at what
minimum distance from the common
central bright fringe on the screen \( 2 \mathrm{m} \) from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?
\( A \cdot 8 m m \)
B. 6 mm
\( c \cdot 4 m m \)
D. 3 mm
Subject: Maths
\( \operatorname{Let} f(x)=\frac{a x+b}{c x+d}, \) then \( f o f(x)=x \)
provided
A \( . d=-a \)
B. \( d=a \)
c. \( a=b=c=d=1 \)
D. \( a=b=1 \)
Subject: Chemistry
Which of the following solutions when
added to \( 1 L \) of a \( 0.1 M C H_{3} C O O H \)
solution will cause no change in either the degree of dissociation of
\( C H_{3} C O O H \) or the \( p H \) of the solution.
\( \boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 . 8} \times \mathbf{1 0}^{\mathbf{4}} \) for \( \boldsymbol{C H}_{\mathbf{3}} \) COOH?
A \( .3 \mathrm{mM} \) НСООН \( \left(K_{a}=6 \times 10^{4}\right. \)
в. 0.1 М \( C H_{3} \) СОО Na .
c. 1.34 m \( M \) НС\( l \)
D. 0.1 М \( C \) Сз СОООН
Subject: Maths
\( P \) and \( Q \) are two points with position vectors \( 3 \vec{a}-2 \vec{b} \) and \( \vec{a}+\vec{b} \)
respectively. Write the position vector of a point R which divides the line
segment \( \boldsymbol{P Q} \) in the ratio \( \mathbf{2}: \mathbf{1} \) externally
Subject: Chemistry
It is observed that the voltage of a galvanic cell using the reaction
\( M(s)+x H^{+} \rightarrow M^{x+}+\frac{x}{2} H_{2} \) varies
linearly with the log of the square root of the hydrogen pressure and the cube
root of the \( \mathrm{M}^{x+} \) concentration. The value
of \( x \) is :
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5
Subject: Physics
A satellite is revolving in a circular orbit at a distance of \( 2620 \mathrm{km} \) from the
surface of the earth. The time period of
revolution of the satellite is
(Radius of the earth \( =\mathbf{6 3 8 0} \) km, mass
of the earth \( =\mathbf{6} \times \mathbf{1 0}^{\mathbf{2 4}} \mathbf{k g}, \mathbf{G}=\mathbf{6 . 6 7} \times \)
\( \left.\mathbf{1 0}^{-11} \mathbf{N}-\boldsymbol{m}^{\mathbf{2}} / \boldsymbol{k g}^{2}\right) \)
\( \mathbf{A} \cdot 2.35 \) hours
B. 23.5 hours
c. 3.25 hours
D. 32.5 hours
Subject: Maths
If \( z_{1} \) and \( z_{2} \) are two complex numbers
such that \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}, \) then
This question has multiple correct options
A \( \cdot z_{1} \overline{z_{2}} \) is purely imaginary
B . \( z_{1} / z_{2} \) is purely imaginary
c. \( z_{1} \overline{z_{2}}+\overline{z_{1}} z_{2}=0 \)
D. \( O, z_{1}, z_{2} \) are vertices of a right triangle
Subject: Chemistry
Assuming the complete dissociation of HCl and lead salt, calculate how much
\( \mathrm{HCl} \) is added to \( 0.001 \mathrm{m} \) lead salt
solution to just precipitate when
saturated with \( H_{2} S . \) The concentration
of \( \boldsymbol{H}_{2} \boldsymbol{S} \). The concentration of \( \boldsymbol{H}_{2} \boldsymbol{S} \) is \( \boldsymbol{0 . 1} \)
\( \mathbf{M} \)
Subject: Physics
A person in lift which ascends up with
acceleration \( 10 \mathrm{m} / \mathrm{s}^{2} \) drops a stone
from a height 10 m. The time of descent
is \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
A . \( 1 s \)
B . \( 2 s \)
c. \( 1.5 s \)
D. \( 0.5 s \)
Subject: Maths
If \( S_{1}, S_{2}, S_{3} \) be respectively the sums of \( n, 2 n, 3 n \) terms of a \( G . P ., \) then prove that

If the series \( a_{1}, a_{2}, a_{3}, a_{n} \) be a \( G . P . \) of
common ratio \( r, \) then prove that \( \frac{1}{a_{1} m+a_{2} m}+\frac{1}{a_{2} m+a_{3} m}+\dots+ \)
\( \frac{1}{a_{n-1}^{m}+a_{n-1}^{m}}=\frac{1-r^{m(1-n)}}{a_{1}^{m}\left(r^{m}-r^{-m}\right)} \)
Subject: Physics
The half life of a radioactive substance
is 5000 years. The number of years after which its activity will decrease to 0.2
times of its initial value is:
\( \left(\log _{10} 5=0.6990\right) \)
A \( \cdot 1.02 \times 10^{5} \) years
B . \( 2.34 \times 10^{6} \) years
C. \( 2.06 \times 10^{2} \) years
D. \( 1.16 \times 10^{4} \) years
Subject: Physics
A ball is thrown horizontally from the top of a tower \( 40 \mathrm{m} \) high. The ball strikes the ground at a point \( 80 \mathrm{m} \) from the
bottom of the tower. Find the angle that
the velocity vector makes with the horizontal just before the ball hits the
ground.
\( \mathbf{A} \cdot 45 m / s \)
в. \( 90 \mathrm{m} / \mathrm{s} \)
c. \( 37 m / s \)
D. \( 53 m / s \)
Subject: Maths
If \( y=\sqrt{x \log _{e} x, \text { then } \frac{d y}{d x} \text { at } x=e \text { is }} \)
\( A \cdot \frac{1}{e} \)
B. \( \frac{1}{\sqrt{e}} \)
\( c \cdot \sqrt{e} \)
D. None of these
Subject: Biology
One molecule of glucose in Calvin cycle
is formed from
A \( \cdot 6 C O_{2}+12 A T P \)
в. \( 6 C O_{2}+30 A T P+12 N A D P H \)
c. \( 6 C O_{2}+18 A T P+12 N A D P H \)
D. \( 6 C O_{2}+18 A T P+30 N A D P H \)
Subject: Physics
Two sinusoidal waves of the same
frequency travel in the same direction
along a string. If \( \boldsymbol{A}_{\mathbf{1}}=\mathbf{3 . 0} \boldsymbol{c m}, \boldsymbol{A}_{\mathbf{2}}= \)
\( 4.0 \mathrm{cm}, \phi_{1}=0, \) and \( \phi_{2}=\pi / 2 \mathrm{rad}, \) what
is the amplitude of the resultant wave?
Subject: Chemistry
Assertion
When methanol is added to water,
boiling point of water increases.
Reason
When a volatile solute is added to a
volatile solvent, elevation in boiling point is observed.
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
When 0.5 g of sulfur is burnt to \( S O_{2} 4.6 \) kJ heat is liberated. What is the
enthalpy of formation of sulfur dioxide? \( (S=32 \text { and } O=16) \)
\( A \cdot+294.4 \mathrm{kJ} \)
B . \( +147.2 \mathrm{kJ} \)
c. - -147.2 kJ
D . -294.4 kJ
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H O} \stackrel{\text {dil.NaOH}}{\longrightarrow} \boldsymbol{A} \stackrel{\boldsymbol{\Delta}, \text {dehydration}}{\longrightarrow} \)
\( \boldsymbol{B} \stackrel{\boldsymbol{N i} / \boldsymbol{H}_{2}}{\longrightarrow} \boldsymbol{C} \stackrel{\boldsymbol{N i} / \boldsymbol{H}_{2}}{\longrightarrow} \boldsymbol{D} \)
In the above sequence of reactions,
compound D is:
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C H_{2} O H \)
в. \( C H_{3} C H_{2} C H_{2} C H O \)
c. O
\( C H_{3} C H_{2} C H_{2} C H-C H_{3} \)
Subject: Maths
The current in an electrical circuit is
given by \( \boldsymbol{R} \boldsymbol{i}+\frac{\boldsymbol{q}}{\boldsymbol{c}}=\frac{\boldsymbol{E}}{\boldsymbol{R}} . \) The expression
for \( \boldsymbol{q} \) is?
A \( \cdot q=E C\left(1-e^{t / C R}\right) \)
в. \( q=E C\left(1+e^{-t / C R}\right) \)
c. \( q=E C\left(1-e^{-C R / t}\right) \)
D \( \cdot q=E C\left(1-e^{-t / C R}\right) \)
Subject: Biology
In a Mendelian dihybrid cross, if one trait shows incomplete dominance and
other trait shows homozygous dominant lethality then what will be the phenotypic ratio of progenies obtained
in \( F_{2} \) generation?
\( \mathbf{A} \cdot 9: 3: 3: 1 \)
B. 2: 4: 2: 1: 2: 1
c. 3: 1
D. 1: 2: 1: 2: 4: 2: 1: 2: 1
Subject: Physics
The earth's gravitational force at some place in space causes an acceleration
of \( 7 m / s^{2} \) in a \( 1 k g \) mass.What will be
the acceleration of a \( 5 k g \) mass.What
will be the acceleration of a \( 5 k g \) mass
at the same place?
A \( \cdot 7 m / s^{2} \)
B. \( 35 m / s^{2} \)
c. \( 1.4 m / s^{2} \)
D. \( 3.5 m / s^{2} \)
Subject: Chemistry
In producing chlorine through electrolysis 100 watt power at 125 V is being consumed. How much chlorine
per minute is liberated?

Electrochemical Equivalent of chlorine is \( 0.367 \times 10^{-6} \) kg/coulomb:
A. \( 21.3 \mathrm{mg} \)
в. \( 17.6 \mathrm{mg} \)
c. \( 24.3 \mathrm{mg} \)
D. \( 13.6 \mathrm{mg} \)
Subject: Physics
Velocity at the top of vertical journey under gravity when a body is projected upward with velocity \( 1000 m / s \) is
A. zero
в. \( 10 \mathrm{m} / \mathrm{s} \)
c. \( 100 m / s \)
D. \( 1000 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Of the following which change will shift the reaction towards the product?
\( \boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{I}(\boldsymbol{g}), \triangle \boldsymbol{H}_{r}^{0}(\mathbf{2 9 8} \boldsymbol{K})= \)
\( +150 k J \)
This question has multiple correct options
A. Increase in concentration of \( I \)
B. Decrease in concentration of \( I_{2} \)
c. Increase in temperature
D. Increase in total pressure
Subject: Biology
Look at the following figure of
chloroplast and choose the correct
combination of statements.
. Light reaction of photosynthesis
occurs in \( Y \)
ii. Dark reaction of photosynthesis
occurs in \( x \)
iii. \( X \) is known as thalakoid.
¡v. Y is known as granum.
v. \( Z \) is known as granum.
\( A \). i, ii, and iv
B. ii, iii, and iv
c. iii, iv and \( v \)
D. ii, iii, iv, and v
Subject: Physics
s nucuct
length \( L=2 m, \) and a resistance \( r= \)
\( 10 \Omega \) is moving with velocity \( v= \)
\( (2 m / s) \hat{i} . \) Three mutually perpendicular
sides are parallel to \( x, y \) and \( z \) axis as
shown in figure. The corner A lies
at origin at \( t=0 . \) There is a magnetic
field in the region \( (\mathbf{0} \leq \boldsymbol{x} \leq \boldsymbol{L}) \) is \( \overrightarrow{\boldsymbol{B}}= \)
\( (-5 \hat{k}) T \) and \( B=0, \) otherwise. Which
of the following is correct?
A. current through \( b c \) is \( 2 A \) at \( t=0.25 s \)
B. current through \( f g \) is \( 1 A \) at \( t=0.25 s \)
C. potential difference across \( g h \) is \( 20 V \) at \( t=0.25 s \)
D. potential difference across \( d h \) is \( 5 V \) at \( t=0.25 s \)
E. potential difference across \( d h \) is \( 10 V \) at \( t=0.25 \)
Subject: Maths
If \( I=\int_{0}^{\pi}\left(\pi x-x^{2}\right)^{100} \sin 2 x d x, \) then
value of \( I \) is?
A . \( \pi^{100} \)
B. \( \frac{1}{2}\left(\pi^{100}-\pi^{97}\right) \)
c. \( \frac{1}{2}\left(\pi^{100}+\pi^{97}\right) \)
D.
Subject: Maths
If \( \boldsymbol{m}, \boldsymbol{n} \in \boldsymbol{N}, \) then the value of
\( \lim _{x \rightarrow 0} \frac{\sin x^{n}}{(\sin x)^{m}} \) is
This question has multiple correct options
\( \mathbf{A} \cdot 1, \) if \( n=m \)
B. \( 0, \) if \( n>m \)
\( c \cdot \infty, \) if \( n<m \)
D. \( n / m, \) if \( n<m \)
Subject: Maths
The population of a city increases at the rate \( 3 \% \) per year. If at time \( t \) the population of city is \( p, \) then find equation of p in time t.
A. \( _{p=c e} \frac{3 t}{100} \)
в. \( \quad p=3 e^{\frac{3 t}{100}} \)
D. \( p=\frac{3}{100} e^{3 t} \)
Subject: Maths
Evaluate \( \int \frac{a^{\sqrt{x}}}{\sqrt{x}} d x \)
A \( \cdot \frac{2 a^{\sqrt{x}}}{\log a}+c \)
B. \( \frac{\log a}{a^{\sqrt{x}}}+c \)
C \( \cdot 2 a^{\sqrt{x}} \log a+c \)
D. \( a^{\sqrt{x}} \log _{a} e+c \)
Subject: Chemistry
Which is the incorrect order for
compounds?
Compound \( : N H_{3}, P H_{3}, A s H_{3}, S b H_{3} \)
A \( \cdot N H_{3}>P H_{3}>A s H_{3}>S b H_{3}(\text { Bond angle }) \)
B . \( N H_{3}>P H_{3}>A s H_{3}>S b H_{3} \) (Bond energy)
C. \( N H_{3}>P H_{3}>A s H_{3}>S b H_{3} \) (Boiling point)
D. \( N H_{3}<P H_{3}<A s H_{3}<S b H_{3} \) (Reducing power)
Subject: Physics
A particle of mass \( 10 g \) is undergoing SHM of amplitude \( 10 \mathrm{cm} \) and period
\( 0.1 s . \) The maximum value of force on
particle is about
A \( .5 .6 N \)
B. 2.75 N
c. \( 3.5 N \)
D. \( 4 N \)
Subject: Physics
A block of mass \( 1 \mathrm{kg} \) is pressed against
a wall by applying a horizontal force of 10N on the block. If the coefficient of
friction between the block and the wall
is \( 0.5, \) magnitude of the frictional force
acting on the block is
\( \mathbf{A} \cdot 9.8 N \)
B. \( 0.98 N \)
c. \( 1.96 N \)
\( D .5 N \)
Subject: Maths
Arrange \( A, B, C, D \) in ascending order
A) Maximum value of \( \sin 5 x \)
B) Minimum value of \( x+\frac{1}{x}(x>0) \)
C) Minimum value of \( 4 \times 2^{\left(x^{2}-3\right)^{3}+27} \)
D) Minimum value of \( 5 \sin ^{2} x+3 \cos ^{2} x \)
\( A \cdot A, B, D, C \)
B. A, C, B, D
c. \( A, D, B, C \)
D. B, D, A, C
Subject: Physics
The transfer ratio \( \beta \) of a transistor is 50 The input resistance of the transistor
when used in the common emitter
mode is \( 1 K \omega \).The peak value of the
collector alternating current for an
input peak voltage of \( 0.01 V \) is
A. \( 100 \mu A \)
в. \( 500 \mu A \)
c. \( 0.01 \mu A \)
D. \( 0.25 \mu A \)
Subject: Chemistry
Match the sugars in column I with their
types given in column II and mark the appropriate choice.
Column I
(A) Glucose
(i) Ketohexose
(B) Fructose
(ii) Aldohexose
(C) Ribose
(iii) Aldotetrose
(D) Erythrose
(iv) Aldopentose
\( A \cdot(A) \rightarrow(i v),(B) \rightarrow(i),(C) \rightarrow(i i i),(D) \rightarrow(\text { ii }) \)
B. (A) \( \rightarrow \) (iii), (B) \( \rightarrow \) (iv), (C) \( \rightarrow \) (i), (D) \( \rightarrow \) (ii)
C \( \cdot(A) \rightarrow(i),(B) \rightarrow(\text { ii) },(C) \rightarrow(\text { iii) },(D) \rightarrow\text { (ii) } \)
D. (A) \( \rightarrow \) (ii), (B) \( \rightarrow \) (i), (C) \( \rightarrow \) (iv), (D) \( \rightarrow \) (iii)
Subject: Physics
The equation of a wave is given by \( Y= \) \( 4 \sin \omega\left(\frac{x}{v}-k\right) \) where \( \omega \) is the angular
velocity and \( v \) is the linear velocity. The
dimensions of \( k \) is \( ? \)
\( A \cdot[L T] \)
в. \( [T] \)
\( \mathbf{c} \cdot\left[T^{-1}\right] \)
D・[T']
Subject: Maths
Find the area of the circular park of
Janakpuri whose circumference is
\( 77 m 77 m \)
A \( .671 .87 m^{2} \)
B. \( 331.62 m^{2} \)
\( \mathbf{c} \cdot 471.62 m^{2} \)
D \( .401 .62 m^{2} \)
Subject: Physics
A student has to focus his compound
microscope to observe a prepared slide
showing different stages of binary fission in Amoeba. The steps he is likely to follow are listed below in a haphazard
manner:
. Adjust the diaphragm and the mirror of the microscope so that sufficient light may enter to illuminate the slide.
Il. Fix the slide on the stage carefully.
III. Adjust the microscope to high power and focus.
IV. Adjust the microscope to low power and focus.

The correct sequence of the above steps
to observe the slide under
themicroscope is
A . ।,॥,।V, ॥॥
B. ॥,,|V,III
c. ॥,ा॥,।,॥
D. I,IV,II,II
Subject: Chemistry
Number of \( \sigma \) and \( \pi \) bonds present in
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C} \equiv \boldsymbol{C H} \) are:
A. \( 10 \sigma, 3 \pi \)
B. \( 10 \sigma, 2 \pi \)
\( \mathrm{c} .9 \sigma, 2 \pi \)
D. \( 8 \sigma, 3 \pi \)
Subject: Physics
A particle is moving along a circular path with a constant speed of \( 10 m s^{1} \) What is the magnitude of the change is velocity of the particle, when it moves
through an angle of 60 around the centre of the circle?
A .
в. \( 10 \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 10 \sqrt{3} m / s \)
D. \( 10 \sqrt{2} \mathrm{m} / \mathrm{s} \)
Subject: Physics
A parallel plate capacitor with air as dielectric is charged to a potential 'V using a battery. Removing the battery, the charged capacitor is then connected across an identical
uncharged parallel plate capacitor filled with wax of dielectric constant 'K' the
common potential of both the
capacitor is
A. V volts
B. kV volts
\( c \cdot(k+1) v v o l t s \)
D. \( \frac{V}{k+1} \) volts
Subject: Chemistry
The half cell involving the reaction \( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-}(\boldsymbol{a q})+\mathbf{1 4 H}^{+}(\boldsymbol{a q})+\boldsymbol{6} e \rightarrow \)
\( 2 C r^{3+}(a q)+7 H_{2} O \) can be represented
as:
A \( \cdot P t, H^{+}(a q), C r_{2} O_{7}^{2-}(a q) \)
B . \( P t, H^{+}, C r^{3}+(a q) \)
c. \( P t, H_{2}, C r_{2} O_{7}^{2-}(a q), C r^{3+}(a q) \)
D. \( P t, H^{+}, C r_{2} O_{7}^{2-}(a q), C r^{3+}(a q) \)
Subject: Physics
A smooth rubber cord of length \( l \) whose
coefficient of elasticity is \( k \) is
suspended by one end from the point \( \boldsymbol{O} \) (figure shown above). The other end is fitted with a catch \( B . \) A small sleeve \( A \)
of mass \( m \) starts falling from the point
O. Neglecting the masses of the thread and the catch, find the
maximum elongation of the cord.
Subject: Physics
Find the nature and order of the
interference at the point \( P \)
A \( \cdot 70^{t h} \) maxima
B. \( 80^{\text {th }} \) minima
\( \mathbf{c} \cdot 60^{t h} \operatorname{maxima} \)
\( D \cdot 70^{t h} \operatorname{minima} \)
Subject: Maths
Let \( a_{n} \) be an A.P. for which \( a_{2}=20 \) and
\( \boldsymbol{a}_{\mathbf{1 0}}=\mathbf{4 0 .} \) Find \( \boldsymbol{a}_{\mathbf{5}} \)
A. 0
B. 10
\( c \cdot 20 \)
D. 30
Subject: Maths
20 card are numbered from 1 to \( 20 . \) One
card is drawn at random. What is the
probability that the number on the card is greater than \( 12 ? \)
A \( \cdot \frac{2}{3} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{2}{5} \)
D. None of these
Subject: Maths
An old man while dialing a 7 digit telephone number remembers that the
first four digits consists of one \( 1^{\prime} s, \) one
\( 2^{\prime} s \) and two \( 3^{\prime} s . \) He also remembers that
the fifth digit is either a 4 or 5 while has no memorizing of the sixth digit, he remembers that the seventh digit is 9
minus the sixth digit. Maximum
number if distinct trails he has to try
make sure that he dials the correct
telephone number, is
A . 360
B . 240
c. 216
D. none
Subject: Chemistry
If in the fermentation of sugar in an
enzymatic solution that is \( 0.2 M \), the
concentration of the sugar is reduced to \( 0.06 M \) in \( 10 h \) to \( 0.03 M \) in \( 20 h, \) what
is the order of the reacation:
A . 1
B. 2
\( c .3 \)
D.
Subject: Maths
A relation \( R \) is defined on the set \( Z \) of
integers as follows: \( \mathrm{R}=(x, y) \in \boldsymbol{R}: x^{2}+ \)
\( y^{2}=25 . \) Express \( R \) and \( R^{-1} \) as the sets
of ordered pairs and hence find their
respective domains
\( \mathbf{A} \cdot \mathbf{0} \)
B. Domain of \( R=\{0,\pm 3\}= \) domain of \( R^{-1} \).
C. Domain of \( R=\{0,\pm 3,\pm 4\}= \) domain of \( R^{-1} \)
D. Domain of \( R=\{0,\pm 3,\pm 4,\pm 5\}= \) domain of \( R^{-1} \)
Subject: Chemistry
\( \mathbf{2} N \boldsymbol{O}+\boldsymbol{B} \boldsymbol{r}_{2} \rightarrow \boldsymbol{2} \boldsymbol{N} \boldsymbol{O} \boldsymbol{B} \boldsymbol{r} \)
The reaction obeys the following mechanism:
\( N O+B r_{2} \stackrel{F a s t}{\rightleftharpoons} N O B r_{2} \)
\( N O B r_{2}+N O \stackrel{S l o w}{\longrightarrow} 2 N O B r \)
The rate expression of the above reaction can be written as:
A \( \cdot r=k[N O]^{2}\left[B r_{2}\right] \)
B \( \cdot r=k[N O]\left[B r_{2}\right] \)
C \( \cdot r=k[N O]\left[B r_{2}\right]^{2} \)
D . \( r=k\left[N O B r_{2}\right. \)