AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A circular beam of light of diameter
\( d=2 c m \) falls on a plane surface of
glass. The angle of incident is \( 60^{\circ} \) and refractive index of glass is \( \mu=3 / 2 . \) The
diameter of the refracted beam is
A \( .2 .00 \mathrm{cm} \)
в. \( 1.50 \mathrm{cm} \)
c. \( 1.63 \mathrm{cm} \)
D. \( 2.52 \mathrm{cm} \)
Subject: Physics
Two identical charged spheres suspended from a common point by two massless strings of length I are initially a distance \( d(d<<I) \) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity v. Then as a function of distance \( x \)
between them
A \( . v \propto x^{-1 / 2} \)
B. \( v \propto x^{-1} \)
\( \mathbf{C} \cdot v \propto x^{1 / 2} \)
D. \( v \propto x \)
Subject: Biology
In the diagram of T.S. monocot leaf, identify labellings a, b, c, d with their functions.
A. a-motor action, b-photosynthesis, c-conduction, transpiration
B. a-motor action, b-conduction, c-photosynthesis, dtranspiration
c. a-transpiration, b-photosynthesis, c-conduction, dtranspiration
D. a-transpiration, b-conduction, c-photosynthesis, dmotor action
Subject: Chemistry
\( (i) N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g) K_{1} \)
\( (i i)\left(\frac{1}{2}\right) N_{2}(g)+\left(\frac{1}{2}\right) O_{2}(g) \rightleftharpoons N O(g) K_{2} \)
\( (i i i) 2 N O(g) \rightleftharpoons N_{2}(g)+O_{2}(g) K_{3} \)
\( (i v) N O(g) \rightleftharpoons\left(\frac{1}{2}\right) N_{2}(g)+\left(\frac{1}{2}\right) O_{2}(g) K_{4} \)
What is the correct relation between
\( \boldsymbol{K}_{1}, \boldsymbol{K}_{2}, \boldsymbol{K}_{3} \) and \( \boldsymbol{K}_{4} ? \)
This question has multiple correct options
A. \( K_{1} \times K_{3}=1 \)
B . \( \sqrt{K_{1}} \times K_{4}=1 \)
\( \mathbf{c} \cdot \sqrt{K_{3}} \times K_{2}=1 \)
D. None of the above
Subject: Physics
1: Method of dimensions cannot be used
for deriving formulae containing trigonometrical ratios.
2: Trigonometrical ratios are dimensionless.
A. 1 and 2 are correct and 2 is correct explanation of
B. 1 and 2 are correct and 2 is not correct explanation of
\( c .1 \) is true and 2 is false
D. 1 is false and 2 is true
Subject: Chemistry
Which of the following pair of gases cannot be separated by diffusion
method?
\( \mathbf{A} \cdot S O_{2} \) and \( H_{2} \)
B. \( C O_{2} \) and \( N_{2} O \)
c. \( N H_{3} \) and \( N_{2} \)
D. \( C O_{2} \) and \( H_{2} \)
Subject: Chemistry
When glycerol is reacted with \( P X_{3} \) one
of the byproduct is \( X_{2} . \) The \( P X_{3} \) must
be:
A. \( P I_{3} \)
в. \( P B r_{3} \)
c. \( P C l_{3} \)
D. \( P F_{3} \)
Subject: Maths
Solve:
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\sin ^{-1}\left\{\frac{\sqrt{\mathbf{1}+\boldsymbol{x}}+\sqrt{\mathbf{1}-\boldsymbol{x}}}{\mathbf{2}}\right\}\right) \)
A \( \cdot \frac{-1}{2 \sqrt{1-x^{2}}} \)
в. \( \frac{1}{2 \sqrt{1-x^{2}}} \)
c. \( \frac{1}{\sqrt{1-x^{2}}} \)
D. \( \frac{-1}{\sqrt{1-x^{2}}} \)
Subject: Maths
A line passes through \( \left(x_{1}, y_{1}\right) \) and \( (h, k) \)
If slope of the line is \( m \), show that \( k- \)
\( \boldsymbol{y}_{1}=\boldsymbol{m}\left(\boldsymbol{h}-\boldsymbol{x}_{1}\right) \)
Subject: Chemistry
Which of the following is NOT changed of Xe in given reaction?
\( 2 X e O F_{4}+S i O_{2} \rightarrow 2 X e O_{2} F_{2}+S i F_{4} \)
A. Hybridisation of \( x \) e
B. Number of d-orbital(s) is hybridisation
c. Number of \( O-X e-F \) bond angle
D. Covalency of \( x \) e
Subject: Biology
Efforts to repeat the cloning of Dolly the sheep have been unsuccessful. The scientists who claim to have cloned
Dolly have been challenged to produce additional evidence that Dolly is really derived from an adult cell (as originally claimed), rather than fetal cells which might have contaminated the experiment (as the skeptics suggest) Which of the following could provide evidence that Dolly was created from an
adult cell, rather than a fetal cell
A. Dolly's DNA finger prints
B. The heterozygosity of random pieces of Dolly's DNA
c. The melting point of Dolly's DNA
D. The length of Dolly's telomeres
E. Dolly's biological clock
Subject: Maths
The area bounded by the curve \( y=\sqrt{x} \)
the line \( 2 y+3=x \) and the \( x \) -axis in
the first quadrant is
\( \mathbf{A} \cdot \mathbf{9} \)
в. \( \frac{27}{4} \)
\( c .36 \)
D. 18
Subject: Biology
Observe the experimental sets \( [A] \) and
\( [\boldsymbol{B}] \)
Observe the test tube \( A \) and \( B \). From the
list given below, choose the
combination of response of shoot and
root that are observed in \( B \)
A. Positive phototropism and positive geotropism
B. Negative phototropism and positive geotropism
C. Positive phototropism and negative geotropism
D. Only negative phototropism
Subject: Maths
If \( \sin (A+B)=1 \) and \( \cos (A-B)= \)
\( \frac{\sqrt{3}}{2} . \) then find the minimum positive
value of \( \boldsymbol{A} \) and \( \boldsymbol{B} \) is
A \( \cdot 60^{\circ}, 30^{\circ} \)
\( ^{\circ} 0^{\circ} \)
B . \( 75^{\circ}, 15^{\circ} \)
\( \mathbf{c} \cdot 45^{\circ}, 60^{\circ} \)
D. \( 45^{\circ}, 45^{\circ} \)
Subject: Physics
Figure shows a qualitative plot of
current vs potential difference for a p-n
junction. Which of the following is true
regarding the above graph.
A. Junction offer a little resistance if we try to pass an electric current from p-side to the n-side
B. Junction offer a high resistance if we try to pass an electric current from n-side to p-side
c. The device which allows current in both the direction forward as well as backward) is called as Ideal junction or diode
D. Both A and B
Subject: Physics
A light beam travelling in the \( x \) direction is described by the electric field \( \boldsymbol{E}_{\boldsymbol{y}}=\left(\mathbf{3 0 0} \boldsymbol{V} \boldsymbol{m}^{-1}\right) \sin \quad \boldsymbol{\omega}(\boldsymbol{t}-\boldsymbol{x} / \boldsymbol{c}) \)
An electron is constrained to move
along the y-direction with a speed of \( 2.0 \times 10^{7} m^{-1} \) Find the maximum
electric force and the maximum
magnetic force on the electron
A \( \cdot 4.8 \times 10^{-17} \mathrm{N}, \) zero
В. \( 4.2 \times 10^{-18} N, 1.8 \times 10^{-8} N \)
c. \( 4.8 \times 10^{-17} N, 3.2 \times 10^{-18} N \)
D. zero, zero
Subject: Physics
In a certain region of space, there exists
a uniform electric field of \( 2 \times \) \( 10^{2} \hat{k} V m^{-1} . \) A rectangular coil of
dimension \( 10 \mathrm{cm} \times 20 \mathrm{cm} \) is placed in
\( \boldsymbol{x}-\boldsymbol{y} \) plane. The electric flux through
the coil is
A. zero
в. \( 30 \mathrm{Vm} \)
c. \( 40 \mathrm{Vm} \)
D. \( 50 \mathrm{Vm} \)
Subject: Physics
Solve:
A sphere of mass \( 10 \mathrm{kg} \) is attracted by another sphere of mass \( 150 \mathrm{kg} \), with a force equal to \( 1.28 \times 10^{-6} N, \) when their
centers are separated by a distance of \( 0.28 \mathrm{m} . \) Calculate the gravitational
constant.
Subject: Chemistry
Assertion
Atomic number is a more fundamental
property of an element than its atomic
mass.
Reason
Atomic number is equal to number of
protons in an atom.
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
toppr
Q Type your question
flowers and fruits, and it plays a major role in fruit ripening, flowering and abscission (the natural shedding of leaves, flowers and fruits). The
biosynthesis of ethylene in plant cells
occurs in a two-step biochemical pathway illustrated in figure below:
Figure : Ethylene biosynthesis starts when S-adenosyl-L-methionine (SAM) is converted to 1-aminocyclopropane-1carboxylic acid (ACC) by the enzyme ACC synthase (ACS). ACC is then converted to ethylene by the enzyme ACC oxidase (ACO). The ACS and ACO
genes are expressed in response to internal developmental cues and
environmental stresses, such as
wounding, flooding, drought, and
pathogen attack. Atta-Aly, Brecht and Huber (2000) researched ethylene feedback mechanisms in tomato and strawberry fruit tissues. Their studies revealed that
immature fruit had a reduced
concentration of ACC when exposed to ethylene gas, but ethylene application on mature fruit increased ACC oxidase
(ACO) activity.
Which statement best explains how different plant tissues respond to
ethylene gas?
A. Ethylene gas serves as a positive feedback signal in immature fruit and a negative feedback signal in mature fruit.
B. Exposure to ethylene gas results in a negative feedback loop in both immature and mature fruit
c. Ethylene gas serves as a negative feedback signal in immature fruit and a positive feedback signal in mature fruit.
D. Exposure to ethylene gas results in a positive feedback loop in both immature and it
Subject: Chemistry
Two gases are sent through the opposite ends of an open tube. A white ring has been observed at some point in
the tube. Identify the gases.
A. \( N_{2} \) and \( O_{2} \)
в. \( N O \) and \( O_{2} \)
c. \( N H_{3}, C l_{2} \)
D. \( H C l, N H_{3} \)
Subject: Physics
A force \( \overrightarrow{\boldsymbol{F}}=(\mathbf{5} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}} 2 \hat{\boldsymbol{k}}) \boldsymbol{N} \quad \) is
applied over a partivle which displaces it from its origin to the point \( \vec{r}= \) \( (2 \hat{i}-\hat{j}) m . \) The work done on the particle in joules is then
A . -7
B. +7
\( c \cdot+10 \)
D. +13
Subject: Maths
Area bounded by the curve \( \mathbf{y}=\mathbf{x}+\sin \mathbf{x} \)
and its inverse function between the
ordinates \( \mathbf{x}=\mathbf{0} \) and \( \mathbf{x}=\mathbf{2} \pi \) is
A. \( 8 \pi \) sqp. units
B. 4 \( \pi \) sq. units
c. 8 sq. units
D. 3 \( \pi \) sq. units
Subject: Chemistry
Assertion
PhBr is less reactive than \( C_{2} H_{5} B r \)
towards \( S_{N} \) reactions.
Reason
The forces of attraction between \( \boldsymbol{R} \boldsymbol{X} \)
and \( H_{2} O \) molecules are weaker than
those present between the molecules of
\( R X \) and water separately.
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 are correct
Subject: Physics
The velocity of water in river is
180kmh \( ^{-1} \) near the surface. If the river
is \( 5 \mathrm{m} \) deep, then the Shearing stress between the surface layer and the bottom layer is then(coefficient of
viscosity of water, \( \boldsymbol{\eta}=\mathbf{1 0}^{-\mathbf{3}} \boldsymbol{P a} \boldsymbol{s} \)
\( \mathbf{A} \cdot 10^{-2} N m^{-2} \)
B. \( 10^{-3} N m^{-2} \)
c. \( 10^{-4} N m^{-2} \)
D. \( 10^{-5} N m^{-2} \)
Subject: Physics
Let \( \boldsymbol{E}_{1}(\boldsymbol{r}), \boldsymbol{E}_{2}(\boldsymbol{r}) \) and \( \boldsymbol{E}_{3}(\boldsymbol{r}) \) be the
respective electric fields at a distance from a point charge \( Q, \) an infinitely long wire with constant linear charge density
\( \lambda, \) and an infinite plane with uniform
surface charge density \( \sigma . \) If \( E_{1}\left(r_{0}\right)= \)
\( E_{2}\left(r_{0}\right)=E_{3}\left(r_{0}\right) \) at a given distance \( r_{0} \)
then :
A \( \cdot Q=4 \sigma \pi r_{0}^{2} \)
B. \( r_{0}=\frac{\lambda}{2 \pi \sigma} \)
c. \( E_{1}\left(\frac{r_{0}}{2}\right)=2 E_{2}\left(\frac{r_{0}}{2}\right) \)
D. \( E_{2}\left(\frac{r_{0}}{2}\right)=4 E_{3}\left(\frac{r_{0}}{2}\right) \)
Subject: Physics
A balloon initially at rest, starts rising from the ground with an acceleration of
\( 2 m / s^{2} . \) After \( 4 s, \) a stone is dropped
from a balloon. In one second of time
after the drop, the stone will cover a
distance of \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
A. \( 3.0 \mathrm{m} \)
в. 3.4 m
\( \mathbf{c} .3 .8 \mathrm{m} \)
D. \( 2.6 \mathrm{m} \)
Subject: Maths
For any two independent events \( \boldsymbol{E}_{1} \) and
\( \boldsymbol{E}_{2}, \boldsymbol{P}\left\{\left(\boldsymbol{E}_{1} \cup \boldsymbol{E}_{2}\right) \cap(\overline{\boldsymbol{E}_{1}}) \cap(\overline{\boldsymbol{E}_{2}})\right\} \) is
\( A \cdot \leq \frac{1}{4} \)
B. \( >\frac{1}{4} \)
\( c \cdot \geq \frac{1}{2} \)
D. None of these
Subject: Chemistry
Assertion
Atomic size decreases across period
but increases down a group of the
periodic table.
Reason
Moving from left to right across a period, electrons are added one at a
time to the outer energy shell. Electrons within a shell cannot shield each other
from the attraction to protons, while
moving down a group in the periodic
table, the number of electrons and filled
electron shells increases.
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 compound \( A \) dissociate by two parallel first order paths at certain temperature \( \boldsymbol{A}(\boldsymbol{g}) \stackrel{\boldsymbol{k}_{1}\left(\min ^{-1}\right)}{\longrightarrow} \boldsymbol{2} \boldsymbol{B}(\boldsymbol{g}) \boldsymbol{k}_{1}=\boldsymbol{6} . \boldsymbol{9} \boldsymbol{3} \times \)
\( 10^{-3} \min ^{-1} \)
\( \boldsymbol{A}(\boldsymbol{g}) \stackrel{\boldsymbol{k}_{2}\left(\min ^{-1}\right)}{\longrightarrow} \boldsymbol{C}(\boldsymbol{g}) \boldsymbol{k}_{2}=\boldsymbol{6} . \boldsymbol{9} \boldsymbol{3} \times \)
\( 10^{-3} \min ^{-1} \)
The reaction started with 1 mole of pure
\( A^{\prime} \) in 1 litre closed container with initial
pressure 2 atm. What is the pressure (in atm) developed in container after 50 minutes from start of experiment?
A . 1.25
в. 0.75
c. 1.50
D. 2.50
Subject: Chemistry
\( \boldsymbol{C}_{2} \boldsymbol{H}_{4}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \leftrightharpoons \boldsymbol{C}_{2} \boldsymbol{H}_{6}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -31.7 k c a l \)
The equilibrium concentration of \( C_{2} H_{4} \) in the following reaction can be increased by:
A. removal of \( C_{2} H_{6} \)
B. addition of \( H_{2} \)
c. increase in temperature
D. increase in pressure
Subject: Physics
STATEMENT-1
Two cylinders, one hollow (metal) and
the other solid (wood) with the same
mass and identical dimensions
are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the
inclined plane first.
STATEMENT-2
By the principle of conservation of
energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT-
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Physics
The speed of an electromagnetic wave in a material medium of permeability \( \mu \)
and permittivity \( \varepsilon \) is
A \( \cdot \frac{1}{\mu \varepsilon} \)
в. \( \frac{1}{2 \mu \varepsilon} \)
c. \( \frac{1}{\sqrt{\mu \varepsilon}} \)
D. \( \frac{1}{\sqrt{2 \mu \varepsilon}} \)
E \( \cdot \frac{2}{\mu \varepsilon} \)
Subject: Biology
Which of the following changes
weather?
\begin{tabular}{|l|l|l|l|}
\hline Day & Max. & Min. & Forecast \\
\hline Sun & \( 36^{\circ} \mathrm{C} \) & \( 24^{\circ} \mathrm{C} \) & Sunny and hot \\
Mon & \( 34^{\circ} \mathrm{C} \) & \( 22^{\circ} \mathrm{C} \) & Sunny \\
Tue & \( 30^{\circ} \mathrm{C} \) & \( 20^{\circ} \mathrm{C} \) & Dry and cloudy \\
Wed & \( 32^{\circ} \mathrm{C} \) & \( 21^{\circ} \mathrm{C} \) & Cloudy \\
Thu & \( 27^{\circ} \mathrm{C} \) & \( 16^{\circ} \mathrm{C} \) & Rain \\
Fri & \( 30^{\circ} \mathrm{C} \) & \( 20^{\circ} \mathrm{C} \) & Light showers \\
Sat & \( 32^{\circ} \mathrm{C} \) & \( 21^{\circ} \mathrm{C} \) & Cloudy \\
\hline
\end{tabular}
\( 4 . \) sur
B. Man
c. wood
D. Television
Subject: Physics
A uniform metre rule \( A B \) is supported
at its centre of gravity by a knife-edge. A force of \( 4 N \) is applied at a point which
is \( 20 \mathrm{cm} \) from end \( \mathrm{A} \) of the rule.
Calculate the force which must be
applied to end B to restore the
equilibrium of the rod
\( A \cdot 4 N \)
B. 2.4
c. \( 1.2 \mathrm{N} \)
D. 4.8 N
Subject: Physics
A current of \( 2 A \) is passed through a coil
of 1000 turns to produce a flux of
\( 0.5 \mu W b . \) Self inductance of the coil
A \( .2 .5 \times 10^{-4} H \)
В. \( 2.5 \times 10^{-5} H \)
c. \( 2.5 \times 10^{-6} H \)
D. \( 2.5 \times 10^{-7} H \)
Subject: Chemistry
An organic compound \( [A] \) having
molecular formula \( C_{2} H_{7} N \) on
treatment with nitrous acid gives a
compound \( [\boldsymbol{B}] \) having molecular
formula \( C_{2} H_{6} O .[B] \) on treatment with an organic compound \( [C] \) gives a carboxylic acid \( [D] \) and a sweet smelling compound \( [\boldsymbol{E}] . \) Oxidation of \( [\boldsymbol{B}] \) with acidified potassium dichromate also gives \( [\boldsymbol{D}] \) Identify \( [\boldsymbol{A}],[\boldsymbol{B}],[\boldsymbol{C}],[\boldsymbol{D}] \) and \( [\boldsymbol{E}] \)
Subject: Maths
The differential equation of the family of
curves \( r^{2}=a^{2} \cos 2 \theta \) where 'a' is
arbitrary constant is:
This question has multiple correct options
A \( \cdot \frac{d r}{d \theta}=-r \tan 2 \theta \)
B. \( \frac{d r}{d \theta}=r \cot 2 \theta \)
c. \( \frac{d r}{d \theta} \cos 2 \theta+r \sin 2 \theta=0 \)
D. \( \frac{d r}{d \theta}=0 \)
Subject: Chemistry
\( 6 \times 10^{22} \) gas molecules each of mass
\( 10^{-24} \mathrm{kg} \) are taken in a vessel of 10 litres. What is the pressure exerted by gas molecules if the average velocity of the gas molecules is \( 92.62 \mathrm{m} / \mathrm{sec} ? \)
A \( \cdot 2 \times 10^{5} P a \)
B. \( 20 P a \)
c. \( 2 \times 10^{6} P a \)
D. \( 2 \times 10^{4} P a \)
Subject: Maths
Let \( f(x) \) is a quadratic function such that \( \boldsymbol{f}(\mathbf{0})=\mathbf{1}, \boldsymbol{f}(\mathbf{1})=\mathbf{7}, \boldsymbol{f}(-\mathbf{1})=\mathbf{1} \) and
\( \int \frac{f(x) d x}{x^{2}(x+1)^{3}} \) is a rational function
Find the value of \( \boldsymbol{f}^{\prime}(\mathbf{0}) \)
A . 3
B.
c. 2
D. 6
Subject: Chemistry
Be on dissolving in aqueous \( N a O H \)
yields:
A. \( N a_{2} B e O_{2} \)
B \( \cdot N a_{2}\left[\operatorname{Be}(O H)_{4}\right] \)
c. \( \operatorname{Na}\left[\operatorname{Be}(O H)_{3}\right] \)
D. Both (A) and (B)
Subject: Physics
In the given (V T) diagram, what is the
relation between pressures \( P_{1} \) and \( P_{2} ? \)
\( (2) \mathrm{P}_{2}>\mathrm{P}_{1} \)
(4) cannot be predicted
A \( \cdot P_{2}=P_{1} \)
в. \( P_{2}>P_{1} \)
c. \( P_{2}<P_{1} \)
D. cannot be predicted
Subject: Maths
\( \int \frac{(\sin x)^{99}}{(\cos x)^{101}} d x=-\ldots-\ldots+c \)
A \( \cdot \frac{(\tan x)^{97}}{97} \)
в. \( \frac{\tan x}{2} \)
C \( \cdot \frac{(\tan x)^{100}}{100} \)
D. \( \frac{(\tan x)^{98}}{98} \)
Subject: Physics
When the load on a wire is slowly increased from 3 to \( 5 k g w t, \) the
elongation increases from 0.61 to 1.02mm. The work done during the extension of wire is
\( \mathbf{A} \cdot 0.16 J \)
в. \( 0.016 J \)
c. 1.6 .5
D. 16.5
Subject: Maths
Evaluate
\( \int \frac{\sin x+\cos x}{(\sin x-\cos x)^{2}} d x \)
A \( \cdot \frac{1}{\sin x-\cos x}+C \)
в. \( \frac{-1}{\sin x-\cos x}+C \)
c. \( \frac{-1}{\sin x+\cos x}+C \)
D. None of these
Subject: Maths
Geeta purchased a face-cream for Rs. 79.10 including Sales Tax. If the printed price of the face-cream is Rs. \( 70 ; \) find the rate of Sales Tax.
A . \( 2 \% \)
B. \( 7 \% \)
c. \( 11 \% \)
D. \( 13 \% \)
Subject: Physics
Alternating current in circuit is given by
\( \boldsymbol{I}=\boldsymbol{I}_{0} \sin 2 \pi n t . \) Then the time taken by
the current to rise from zero to r.m.s.
value is equal to
A \( \cdot 1 / 2 n \)
B. \( 1 / n \)
\( c \cdot 1 / 4 n \)
D. \( 1 / 8 n \)
Subject: Maths
Sixteen players \( \boldsymbol{S}_{1}, \boldsymbol{S}_{2}, \ldots . \boldsymbol{S}_{16} \) play in a
tournament. They are divided into eight pairs at random. From each pair a
winner is decided on the basis of a
game played between the two players of the pair. Assume that all the players are of equal strength.
The probability that the player \( S_{1} \) is among the eight winners is \( \frac{1}{k} . \) Find the
value of \( \boldsymbol{k} \)
Subject: Maths
If \( \overrightarrow{\mathbf{A}} \times \overrightarrow{\mathbf{B}}=\overrightarrow{\mathbf{B}} \times \overrightarrow{\mathbf{A}}, \) then the angle
between \( A \) and \( B \) is
A . \( \pi \)
в. \( \pi / 3 \)
c. \( \pi / 2 \)
D . \( \pi / 4 \)
Subject: Chemistry
A certain current liberated 0.504 gm of hydrogen in 2 hrs. How many grams of copper can be liberated by the same current flowing for the same time in a copper sulphate solution?
A. \( 12.7 \mathrm{gms} \)
B. 15.9 gms
c. \( 31.8 \mathrm{gms} \)
D. \( 63.5 \mathrm{gms} \)
Subject: Maths
Draw a triangle \( P Q R \), right angled at \( Q \)
such that \( P Q=3 \mathrm{cm}, Q R=4 \mathrm{cm} . \) Now
construct \( \triangle A Q B \) similar to \( \triangle P Q R \) each of whose sides is \( \frac{7}{5} \) times the
corresponding side of \( \triangle \boldsymbol{P} Q \boldsymbol{R} \)
Subject: Chemistry
Which of the following aqueous solution will show maximum vapour pressure at
300K?
\( \mathbf{A} \cdot 1 M N a C l \)
в. \( 1 \mathrm{M} \mathrm{CaCl}_{2} \)
c. \( 1 M A l C l_{3} \)
D. \( 1 M C_{12} H_{22} O_{11} \)
Subject: Chemistry
Assertion
The alkali metals are strong oxidizing
agents.
Reason
The one electron in their valence shell is
easily lost.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Chemistry
The electronic configuration of the first artificial element:
A \( \cdot 4 f^{4} 5 d^{1} 6 s^{2} \)
B . \( 4 f^{1} 5 d^{4} 6 s^{2} \)
c. \( 5 f^{4} 6 d^{1} 7 s^{2} \)
D. \( 5 f^{3} 6 d^{1} 7 s^{2} \)
Subject: Chemistry
Compare the bond energy (B.E) of \( \boldsymbol{O}- \)
\( H \) in water and \( O-D \) in heavy water:
A. B.E of \( O-H> \) B.E of \( O-D \)
B. B.E of \( O-H< \) B.E of \( O-D \)
c. B.E of \( O-H= \) B.E of \( O-D \)
D. B.E of \( O-H=2 \) times B.E of \( O-D \)
Subject: Chemistry
Transition metals have the general
electronic configuration?
A \( \cdot n s^{2} n d^{1-10} \)
В \( \cdot n s^{2} n p^{1}(n-1) d^{1-10} \)
c. \( n s^{1-2}(n-1) d^{1-10} \)
D. \( n s^{2} n p^{6}(n-1) d^{1-1} \)
Subject: Biology
The correct sequence of plants in a
hydrosere is?
\( \mathbf{A} \cdot \) Volvox \( \rightarrow \) Hydrilla \( \rightarrow \) Pistia \( \rightarrow \) Scirpus \( \rightarrow \) Carex \( \rightarrow \) Quercus
B. Pistia \( \rightarrow \) Volvox \( \rightarrow \) Scirpus \( \rightarrow \) Hydrilla \( \rightarrow \) Quercus \( \rightarrow \) Carex
C. Quercus \( \rightarrow \) Carex \( \rightarrow \) Volvox \( \rightarrow \) Hydrilla \( \rightarrow \) Pistia \( \rightarrow \) Scirpus
D. Quercus \( \rightarrow \) Carex \( \rightarrow \) Scirpus \( \rightarrow \) Pistia \( \rightarrow \) Hydrilla \( \rightarrow \) Volvox
Subject: Physics
Two similar balls, each of mass \( \mathrm{m} \) and
charge \( q, \) are hung from a common point by two silk threads, each of length
I. Prove that separation between the balls is \( \boldsymbol{x}=\left[\frac{\boldsymbol{q}^{2} \boldsymbol{l}}{2 \boldsymbol{\pi} \varepsilon_{0} \boldsymbol{m} \boldsymbol{g}}\right]^{1 / 3}, \) if \( \boldsymbol{\theta} \) is small.
Find the rate da/dt with which the charge should leak off each sphere if the velocity of approach varies as \( \boldsymbol{v}= \) \( a / \sqrt{x}, \) where a is a constant
Subject: Chemistry
Which are true statements among the
following?
(1) \( P H_{5} \) and \( B i C l_{5} \) do not exist
(2) \( p, d \) bonds are present in \( S O_{2} \)
(3) Electrons travel with the speed of
light
(4) \( S e F_{4} \) and \( C H_{4} \) have same shape
(5) \( I_{3}^{+} \) has bent geometry
A \( \cdot 1,3 \)
B. 1,2,5
\( c \cdot 1,3,5 \)
D. 1,2,4