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Which one of the following is correct
with respect to molar ionic
conductance of ions in aqueous
solution?
\( \mathbf{A} \cdot L i^{+}<N a^{+}<K^{+}<R b^{+} \)
B \( \cdot R b^{+}<K^{+}<N a^{+}<L i^{+} \)
\( \mathbf{c} \cdot S r^{2+}<C a^{2+}<M g^{2+}<B e^{2+} \)
D. \( N a^{+}<K^{+}<L i^{+}<R b^{+} \) | 1 | Chemistry |
Arrange the direction of nerve
transmission in sequential order.
a) Cyton
b) Axon
c) Dendron
d) Nerve terminal
\( A \cdot c, a, b, d \)
в. \( a, c, b, d \)
\( c \cdot c, a, d, b \)
D. \( \mathrm{c}, \mathrm{b}, \mathrm{a}, \mathrm{d} \) | 0 | Biology |
Is the Galileo principle adopted by Newton is known as law of inertia? | 3 | Physics |
Describe the change in hybridisation of the \( A l \) atom in the following reaction:
\( \boldsymbol{A l C l}_{3}+\boldsymbol{C l}^{-} \rightarrow \boldsymbol{A l} \boldsymbol{C l}_{4}^{-} \) | 1 | Chemistry |
Write the formulas for the following coordination compounds:
Amminebromidochloridonitrito-N-
platinate(II) | 1 | Chemistry |
Calcium hydroxide is used for making
soap.
A . True
B. False | 1 | Chemistry |
\( \lim _{x \rightarrow 0} \frac{1-\cos ^{3} x}{x \sin 2 x}= \)
\( A \cdot \frac{1}{2} \)
B. \( \frac{3}{2} \)
\( c \cdot \frac{3}{4} \)
D. | 2 | Maths |
Bond angle is minimum for:
A \( . H_{2} O \)
в. \( H_{2} S_{2} \)
\( \mathbf{c} \cdot H_{2} S e \)
D. \( H_{2} T e \) | 1 | Chemistry |
The power of a lens having a focal length of \( 1 \mathrm{cm} \) is :
\( A \cdot 1 D \)
в. \( 10 D \)
c. \( \frac{1}{10} D \)
D. \( 100 D \) | 3 | Physics |
\( ^{210} 84^{\circ} \mathrm{o} \longrightarrow_{82}^{206} \mathrm{Pb}+_{2}^{4} \mathrm{He} \)
In this reaction, predict the position of group of \( P o \) in periodic table when lead
is in the \( I V A \) group:
A . IIA
в. \( I V B \)
c. \( V I A \)
D. \( V I B \) | 1 | Chemistry |
The angle of inclination of the axis of
the magnetic needle to the horizontal plane when suspended freely and is at rest is known as
A. Angle of inclination
B. Angle of variation
c. Angle of declination
D. None of the above | 3 | Physics |
Substances necessary for autotrophic nutrition are
\( A \cdot C O_{2} \) and \( H_{2} O \)
B. Chlorophyll
c. sun light
D. All of the above | 0 | Biology |
The term used to indicate the
development of unpleasant smell and taste in fat and oil-containing foods due to aerial oxidation is:
A . acidity
B. radioactivity
c. rabidity
D. rancidity | 1 | Chemistry |
(R)-2 -lodobutane is treated with Nal in
acetone and allowed to stand for a long
time.The product eventually formed is:
A \( \cdot(R)-2- \) iodobutane
B . \( (S)-2- \) iodobutane
C. \( (\pm)-2- \) iodobutane
D. (土) - 1,2 - diiodobutane | 1 | Chemistry |
Name a material which exhibits
fluorescence when cathode rays fall on ¡t. | 3 | Physics |
f \( f: R \rightarrow R \) be defined by \( f(x)=3 x+ \)
\( 2, \) find \( f(f(x)) \) | 2 | Maths |
Willemite is
\( \mathbf{A} \cdot Z n_{2} S i O_{4} \)
\( \mathbf{B} \cdot H_{2} P t C l_{6} \)
\( c \cdot Z n O \)
D. \( Z n O F e_{2} O_{3} \) | 1 | Chemistry |
In ethyne, the two carbon atoms
contain:
A. one sigma bond and two pi bonds
B. one sigma bond and one pi bond
C. two sigma bonds and one pi bond
D. two sigma bonds and no pi bond | 1 | Chemistry |
Show that for reaction \( A B(g) \rightleftharpoons A(g)+ \) \( \mathrm{B}(\mathrm{g}), \) the total pressure at which \( \mathrm{AB} \) is \( 50 \% \) dissociated is numerically equal to
three times of \( \boldsymbol{K}_{\boldsymbol{p}} \) | 1 | Chemistry |
If the volume of \( C O_{2} \) liberated during
respiration is more than the volume of
\( O_{2} \) used the respiratory substances will
be
A. Fats
B. organic acid
c. Proteins
D. Carbohydrate | 0 | Biology |
Which oxides will not give metal on heating?
A. \( H g O \)
в. \( Z n O \)
c. \( A g_{2} O \)
D. All of these | 1 | Chemistry |
At puberty,
A. Thigh bones elongate
B. Skull bones expand
C. Increase in number of bones of rib cage
D. Hip joint grows bigger | 0 | Biology |
An electric cell does 5 joules of work in carrying 10 -coulomb charge around the closed circuit. The electromotive force
of the cell is :
A . 2 volt
B. 0.5 volt
c. 4 volt
D. 1 volt | 3 | Physics |
The coefficient of \( t^{24} \) in the expansion of
\( \left(1+t^{2}\right)^{12}\left(1+t^{12}\right)\left(1+t^{24}\right) \) is
A. \( ^{12} C_{6}+2 \)
B. \( ^{12} C_{5} \)
\( \mathbf{c} \cdot^{12} C_{6} \)
D. \( ^{12} C_{7} \) | 2 | Maths |
Average Kinetic energy in one time
period in an SHM is (Where \( m, \omega \) and \( y_{0} \)
are mass of particle, angular velocity and maximum displacement respectively)
\( ^{A} \cdot \frac{m \omega^{2} y_{0}^{2}}{2} \)
B . \( m \omega^{2} y_{0}^{2} \)
c. \( \frac{m \omega^{2} y_{0}^{2}}{3} \)
D. \( \frac{m \omega^{2} y_{0}^{2}}{4} \) | 3 | Physics |
What is meant by magnification? obtain the formula for finding
magnification image formed by a
mirror. | 3 | Physics |
A sphere, a cube and a thin circular disc all made of the same material, have
same mass. Their initial temperature is
\( 3 \times 10^{3}^{\circ} \mathrm{C} . \) The body which cools
rapidly is :
A. sphere
B. cube
c. both sphere and cube
D. circular plate | 3 | Physics |
A salt which in solution gives a bluish
white precipitate with \( N a O H \) solution
and a white precipitate with \( B a C l_{2} \) solution is:
A \( . C u S O_{4} \)
в. \( F e S O_{4} \)
c. \( F e_{2}\left(S O_{4}\right)_{3} \)
D. \( C u C l_{2} \) | 1 | Chemistry |
Fill in the blanks.
\( \ln 1609 \)
designed a telescope.
A. Newton
B. Galileo
c. Einstein
D. Archimedes | 3 | Physics |
A ball weighing \( 10 g \) hits a hard surface
vertically with a speed of \( 5 m / \)sec and rebounds with the same speed. The ball remains in contact with the surface for
\( 1 / 100 s e c . \) The average force exerted by the surface on the ball is
\( \mathbf{A} \cdot 100 N \)
в. \( 10 N \)
\( c \cdot 1 N \)
D. \( 0.1 N \) | 3 | Physics |
Three arrangements are shown for the
\( \operatorname{complex}\left[\operatorname{CoBr}_{2}\left(N H_{3}\right)_{2}(e n)\right]^{\oplus} . \) Which
one is wrong statement?
A. I and II are geometrical isomers
B. Il and III are optically active isomers
c. I and III are optically active isomers
D. II and III are geometrical isomers | 1 | Chemistry |
Long-sightedness is caused by the eyeball being too short. It can be
corrected by the use of a:
A. convergent lens
B. plane mirror
c. divergent lens
D. None of these | 3 | Physics |
Write a value of \( \int e^{x}\left(\frac{1}{x}-\frac{1}{x^{2}}\right) d x \) | 2 | Maths |
\( \left.\begin{array}{l}\text { Find } \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c}, \boldsymbol{d} \text { if }\left[\begin{array}{cc}\boldsymbol{d}+\mathbf{1} & \mathbf{1 0}+\boldsymbol{a} \\ \mathbf{3} \boldsymbol{b}-\mathbf{2} & \boldsymbol{a}-\mathbf{4}\end{array}\right]= \\ \mathbf{2} \quad \mathbf{2} \boldsymbol{a}+\mathbf{1} \\ \boldsymbol{b}-\mathbf{5} \quad \boldsymbol{4} \boldsymbol{c}\end{array}\right] \) | 2 | Maths |
Find the angle between the vectors \( 3 i+ \)
\( 2 j-6 k \) and \( 4 i-3 j+k \) | 2 | Maths |
If \( \sin \theta+\cos \theta=\sqrt{2} \cos \theta, \) then the
general value of \( \boldsymbol{\theta} \) is | 2 | Maths |
I.F. of \( \frac{d y}{d x}=y \tan x+2 \sin x \) is:
A . sec \( x \)
B. \( \sin x \)
\( c \cdot \csc x \)
D. \( \cos x \) | 2 | Maths |
A nectar-secreting gland cell
characteristically contains
A. Granular cytoplasm filling the cell and a small nucleus.
B. Granular cytoplasm living a central vacuole and a small nucleus.
C. Granular cytoplasm filling the cell and a large conspicuous nucleus.
D. Vacuolated cytoplasm but with a large nucleus. | 0 | Biology |
In the given figure, if area of parallelogram \( A B E F \) is \( 96 \mathrm{cm}^{2} ; \) state
giving reason, the area of parallelogram
\( A B C D \)
\( \mathbf{A} \cdot 96 \mathrm{cm}^{2} \)
B. \( 86 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 76 \mathrm{cm}^{2} \)
\( \mathrm{D} \cdot 36 \mathrm{cm}^{2} \) | 2 | Maths |
Assertion
Across the period effective nuclear charge decreases.
Reason
The third period contains only 8
elements and not 18 like 4 th period.
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 | 1 | Chemistry |
Three concentric spherical shells have radii \( a, b \) and \( c(a<b<c) \) and have
surface charge densities \( +\boldsymbol{\sigma},-\boldsymbol{\sigma},+\boldsymbol{\sigma} \)
respectively. If \( V_{A}, V_{B} \) and \( V_{C} \) denote the potentials of three shells, then for \( c=a+b, \) we have
A. \( V_{C}=V_{B}=V_{A} \)
B. \( V_{C}=V_{B} \neq V_{A} \)
c. \( V_{C} \neq V_{B}=V_{A} \)
D. \( V_{C} \neq V_{B} \neq V_{A} \) | 3 | Physics |
Which of the given labeled parts is
responsible for the decrease in the
amount of stored glycogen in the liver?
\( A \cdot D \)
B.
\( c . \) в
\( D \) | 0 | Biology |
Find the degree of the given algebraic
expression
\( 3 x-15 \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 3
\( c \cdot 2 \)
D. -15 | 2 | Maths |
The fine structure of hydrogen spectrum can be explained by
A. the presence of neutrons in the nucleus
B. the finite size of nucleus
c. the orbital angular momentum of electrons
D. the spin angular momentum of electrons | 3 | Physics |
The solubility of \( B a_{3}\left(A s O_{4}\right)_{2} \) (formula
mass \( =\mathbf{6 9 0} \) ) is \( \mathbf{6 . 9} \times \mathbf{1 0}^{-\mathbf{2}} \mathbf{g} / \mathbf{L} . \) What is
the \( \boldsymbol{K}_{s p} ? \)
A \( .1 .08 \times 10^{-11} \)
B . \( 1.08 \times 10^{-13} \)
c. \( 1.0 \times 10^{-15} \)
D. \( 6.0 \times 10^{-13} \) | 1 | Chemistry |
When a solid ball of volume \( V \) is falling through a viscous liquid, a viscous force \( F \) acts on it. If another ball of
volume 2 V of the same material
is falling through the same liquid then the viscous force experienced by it will be (when both fall with terminal
velocities).
\( A \cdot 4 F \)
в. \( \frac{F}{2} \)
\( c \cdot 2 F \)
D. \( \frac{F}{4} \) | 3 | Physics |
A concave lens of focal length \( 15 \mathrm{cm} \) form an image \( 10 \mathrm{cm} \) from the lens. How far is the object placed from the lens? Draw the ray diagram also. | 3 | Physics |
A moving charge produces
A. Neither electric field nor magnetic field
B. Electro-static field only
C. Magnetic field only
D. Both magnetic and electro-static field | 3 | Physics |
Find the inverse of the following matrix
using transformation method. \( \left[\begin{array}{cc}2 & -3 \\ -1 & 2\end{array}\right] \) | 2 | Maths |
The value of equilibrium constant for a
feasible cell reaction is:
\( \mathbf{A} \cdot<1 \)
в. \( =1 \)
\( c \cdot>1 \)
D. zero | 1 | Chemistry |
The motion of copper plate is damped
when it is allowed to oscillate between
the two poles of a magnet. What is the cause of this damping? | 3 | Physics |
When benzene diazonium chloride is
treated with cuprous chloride in \( \boldsymbol{H} \boldsymbol{C l} \) chlorobenzene is formed. This reaction
is called:
A. Perkin reaction
B. Hinsberg reaction
c. Gattermann reaction
D. Sandmeyer reaction | 1 | Chemistry |
\( A \) and \( B \) are two different chemical
species undergoing 1st order decomposition with half lives equal to 5 \( \sec \) and 7.5 sec respectively. If the initial concentration of \( A \) and \( B \) are in
the ratio \( 3: 2 . \) Calculate \( \frac{C_{A_{1}}}{C_{B_{1}}} \) after three
half lives of \( A \). Report your answer after
multiplying it with 100 | 1 | Chemistry |
Find out the frequency of orange light
whose wavelength is \( 6 \times 10^{-7} \) m. The
speed of light is \( 3 \times 10^{8} m / s \)
A \( \cdot 2 \times 10^{15} \mathrm{Hz} \)
B . \( 2 \times 10^{-15} \mathrm{Hz} \)
c. \( 5 \times 10^{14} H z \)
D. \( 5 \times 10^{-14} \mathrm{Hz} \)
E . \( 2 \times 10^{14} H z \) | 3 | Physics |
A man wants to measure current \( \sim \boldsymbol{m} \boldsymbol{A} \)
He should use
A. photo multiplier tube
B. photo cell and amplifier
c. photo multiplier tube and amplifier
D. photo cell and two stage amplifier | 3 | Physics |
The magnitude of acceleration due to
gravity decreases
A. as the height from the surface of the earth increases
B. as the depth from the surface of the earth increases
C. as one moves from the pole of the earth to its equator
D. All the above | 3 | Physics |
A unit vector is represented as \( 0.8 \hat{i}+ \) \( b \hat{j}+0.4 \hat{k} . \) Hence the value of \( b \) must be
A . 0.4
B. \( \sqrt{0.6} \)
\( c .0 .2 \)
D. \( \sqrt{0.2} \) | 2 | Maths |
IUPAC name of given compound is:
A. 4 -methylpentanal
B. 4 -methylpentanol
C. 4 -methylpentenal
D. 4 -methylpentanone | 1 | Chemistry |
Consider two points 1 and 2 in a region outside a charged sphere. Two points are not vary far away from the sphere. If \( \boldsymbol{E} \) and \( \boldsymbol{V} \) represent the electric field vector and the electric potential, which of the following is not possible?
A \( \cdot\left|\vec{E}_{1}\right|=\left|\vec{E}_{2}\right|, V_{1}=V_{2} \)
в. \( \left|\vec{E}_{1}\right| \neq\left|\vec{E}_{2}\right|, V_{1} \neq V_{2} \)
c \( \cdot\left|\vec{E}_{1}\right| \neq\left|\vec{E}_{2}\right|, V_{1}=V_{2} \)
D . \( \left|\vec{E}_{1}\right|=\left|\vec{E}_{2}\right|, V_{1} \neq V_{2} \) | 3 | Physics |
In a game of tug of wars, a condition of equilibrium exists. Both the teams pull
the rope with a force of \( 10^{4} \) N. The
tension in the rope is :
\( A \cdot 10^{4} N \)
B . \( 10^{5} \mathrm{N} \)
\( c \cdot 0 \)
D. \( 2 \times 10^{4} \mathrm{N} \) | 3 | Physics |
Which of the following is the smallest temperature?
A \( \cdot 1^{\circ} R \)
B. \( 1^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 1^{o} F \)
D. \( 1 K \) | 3 | Physics |
If the change in internal energy of an ideal gas is equal to negative of the work done by the system, then
A. the process may be adiabatic
B. the process may be isothermal
c. the process must be isobaric
D. the temperature must decrease | 1 | Chemistry |
The vectors \( \overrightarrow{A B}=3 \hat{i}+5 \widehat{j}+4 \widehat{k} \) and
\( A C=5 \hat{i}-5 \hat{j}+2 \widehat{k} \) are the sides of \( a \)
triangle ABC. The length of the median through \( A \) is | 2 | Maths |
Which force is weakest of
all fundamental forces?
A. Gravitational force
B. Electromagnetic force
c. Weak nuclear force
D. Strong nuclear force | 3 | Physics |
The angle of elevation of the top of a vertical tower from a point \( A, \) due east
of it is \( 45^{\circ} . \) The angle of elevation of the
top of the same tower from a point \( \boldsymbol{B} \)
due south of \( A \) is \( 30^{\circ} . \) If the distance
between \( A \) and \( B \) is \( 54 \sqrt{2} m, \) then
the height of the tower (in metres), is :
A. \( 36 \sqrt{3} \)
в. 108
\( c .54 \)
D. \( 54 \sqrt{3} \) | 2 | Maths |
The surface area of a sphere when its volume is increasing at the same rate as its radius is
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \frac{1}{2 \sqrt{\pi}} \)
c. \( 4 \pi \)
D. \( \frac{4 \pi}{3} \) | 2 | Maths |
The kinetic energy of \( 1 g \) molecule of a
gas at normal temperature and
pressure is :
\( \mathbf{A} \cdot 1.3 \times 10^{2} J \)
B . \( 2.7 \times 10^{2} J \)
c. \( 0.56 \times 10^{4} J \)
D. \( 3.4 \times 10^{3} J \) | 3 | Physics |
Find the mode of the following frequency distribution of marks
obtained by 50 students.
\( \begin{array}{llll}\text { Marks } & 0- & 10- & 20- \\ \text { obtained } & 10 & 20 & 30\end{array} \)
No. of
students 12 20 | 2 | Maths |
Vapour is injected at a uniform rate in a closed vessel which was initially evacuated. The pressure in the vessel
A. Increases continuously
B. Decreases continuously
c. First increases and then decreases
D. First increases and then becomes cosntant | 1 | Chemistry |
The frequency of A.C mains in India is
\( \mathbf{A} \cdot 30 H z \)
B. \( 50 H z \)
\( \mathbf{c} \cdot 60 H z \)
D. \( 120 H z \) | 3 | Physics |
Minimum number of carbon atoms
required for an alkane to show any kind of isomerism. | 1 | Chemistry |
Thermal radiation is also called
A . infrared radiation
B. EM radiation
c. nuclear radiation
D. None | 3 | Physics |
Phenylalanine is a:
A. aromatic amino acid
B. aliphatic amino acid
c. dipeptide
D. glycoprotein | 1 | Chemistry |
Evaluate the following integral as limit
of sum:
\( \int_{1}^{4}\left(x^{2}-x\right) d x \) | 2 | Maths |
Compare the acceleration due to gravity on the surface of a planet, whose mass
and diameter are double that of the
earth, with the acceleration due to
gravity on the surface of the earth.
A . 1: 2
B . 2: 1
c. 3: 4
D. 4: 1 | 3 | Physics |
Two particles are in SHM in parallel straight lines close to each other. Amplitude \( A \) and time period \( T \) of both
the particles are equal. At \( t=0, \) one
particle is at displacement \( \boldsymbol{x}_{\mathbf{1}}=+\boldsymbol{A} \) and other at \( x_{2}=-\frac{A}{2} \) an they are
approaching towards each other, after what time they will cross each other?
A. \( T / 3 \)
в. \( T / 4 \)
\( \mathrm{c} \cdot 5 T / 6 \)
D. \( T / 6 \) | 3 | Physics |
A body projected vertically upwards with a velocity of \( 19.6 \mathrm{ms}^{-1} \) reaches a
height of \( 19.6 ~ m \) on earth. If it is
projected vertically up with the same velocity on moon, then the maximum
height reached by it is \( \left(g_{\text {earth}}=g m s^{-2}\right. \) \( \left.\boldsymbol{g}_{m o o n}=\frac{\boldsymbol{g}}{\boldsymbol{6}} \boldsymbol{m} \boldsymbol{s}^{-2}\right) \)
A . \( 19.18 \mathrm{m} \)
B. 3.3 \( m \)
c. \( 9.9 \mathrm{m} \)
D. 117.6 \( m \) | 3 | Physics |
Find out the value of \( \mathrm{E} \) in the circuit
shown in figure.
A \( .+14 V \)
B . \( -14 V \)
\( c .-7 V \)
\( D \cdot+7 V \) | 3 | Physics |
Factorise the following: \( a^{6}-b^{6} \)
\( \mathbf{A} \cdot(a+b)(a-b)\left(a^{2}+b^{2}+a b\right)\left(a^{2}-b^{2}+a b\right) \)
B \( \cdot(a+b)(a-b)\left(a^{2}+b^{2}+a b\right)\left(a^{2}+b^{2}-a b\right) \)
\( \mathbf{c} \cdot(a+b)(a-b)\left(a^{2}-b^{2}-a b\right)\left(a^{2}+b^{2}-a b\right) \)
D. None of these | 2 | Maths |
The function \( f(x)=x^{2}+\frac{\lambda}{x} \) then:
A. minimum at \( x=2 \) if \( \lambda=16 \)
B. maximum at \( x=2 \) if \( \lambda=16 \)
c. maximum for no real value of \( \lambda \)
D. point of inflection at \( x=1 \) if \( \lambda=-1 \) | 2 | Maths |
Which one of the following is least volatile?
\( \mathbf{A} \cdot H C N \)
в. \( H F \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C S_{2} \) | 1 | Chemistry |
Which of the following is stress
hormone?
\( \mathbf{A} \cdot A B A \)
в. \( C_{2} H_{4} \)
\( \mathrm{c} \cdot G A_{7} \)
D. IAA | 0 | Biology |
In triangle \( A B C, \) right-angled at \( B \), if \( \tan A=\frac{1}{\sqrt{3}} \) find the value of:
(i) \( \sin A \cos C+\cos A \sin C \) | 2 | Maths |
\( \operatorname{Let}\left(1+x^{2}\right)^{2}(1+x)^{n}=A_{0}+A_{1} x+ \)
\( A_{2} x^{2}+\ldots . \) If \( A_{0}, A_{1}, A_{2} \) are in A.P, then
the value of \( n \)
\( A \cdot 2 \)
B. 3
\( c \cdot 5 \)
D. 7 | 2 | Maths |
Assertion
He and Ne do not form clatharates.
Reason
They are difficult to polarise due to
smaller size.
Read the above assertion and reason
and choose the correct option regarding
¡t.
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 true but Reason is false
D. Assertion is false but Reason is true | 1 | Chemistry |
The dimensions of cuboid are in the
ratio \( 3: 2: 1 . \) Its volume is \( 1296 m^{3} \)
Find its height.
\( \mathbf{A} \cdot 6 m \)
B. \( 0.8 m \)
\( c .6 \mathrm{cm} \)
D. None of these | 2 | Maths |
Six point charges are kept at the
vertices of a regular hexagon of side \( \boldsymbol{L} \)
and centre \( O \), as shown in the figure. Given that \( K=\frac{1}{4 \pi \epsilon_{0}} \frac{q}{L^{2}}, \) which of the following statement(s) is(are) correct?
This question has multiple correct options
A. The electric field at \( O \) is \( 6 K \) along \( O D \)
B. The potential at \( O \) is zero
c. The potential at all points on the line \( P R \) is same
D. The potential at all points on the line \( S T \) is same | 3 | Physics |
A transverse wave of amplitude \( 0.01 m \)
and frequency \( 500 H z \) is travelling
along a stretched string with a speed of \( 200 m / s . \) Find the displacement of a particle at a distance of \( 0.7 \mathrm{m} \) from the
origin after \( 0.01 s . \) Also find the phase difference between the point where
wave reaches from the origin | 3 | Physics |
\( ^64 C u \) (half-life-12.8 hr) decays by \( \beta^{-} \)
emission \( (38 \%), \beta^{+} \) -emission \( (19 \%) \) and
electron capture \( (43 \%) . \) Calculate partial half lives for electron capture?
\( \mathbf{A} \cdot 29.78 h r \)
B. \( 28.78 h r \)
\( \mathrm{c} .59 .56 \mathrm{hr} \)
D. \( 57.56 h r \) | 1 | Chemistry |
A current of \( 3.7 \mathrm{A} \) is passed for six hours between \( N i \) electrode in 0.5 litre of \( 2 M \)
solution of \( N i\left(N O_{3}\right)_{2} . \) The molarity of
solution at the end of electrolysis is: | 1 | Chemistry |
By many evidences, it can be known
that the downward movement of food
takes place through
A. Phloem
B. Xylem
c. collenchyma
D. Sclerenchyma | 0 | Biology |
Which of the following statement is not
true?
A. The resistance of an intrinsic semiconductor
decreases with increase in temperature
B. Doping pure \( S i \) with trivalent impurities gives \( p \) -type semiconductor
C. The majority carriers in n-type semiconductor are holes
D. a p-njunction can act as a semiconductor diode | 3 | Physics |
If the distance traveled by a body in the nth second is given by \( (4+6 n) m \) then find the initial velocity and acceleration
of the body.
A \( \cdot 6 \mathrm{m} \mathrm{s}^{-2}, 7 \mathrm{m} \mathrm{s}^{-1} \)
B. \( 6 \mathrm{m} \) s \( ^{-2} \), 3 \( \mathrm{m} \) s \( ^{-1} \)
C \( \cdot 16 \mathrm{m} \mathrm{s}^{-2}, 17 \mathrm{m} \mathrm{s}^{-1} \)
D. 26 m \( s^{-2} \), 7 \( \mathrm{m} s^{-1} \) | 3 | Physics |
Choose the correct answer from the
alternatives given
Whether a molecule can cross the
plasma membrane depends upon the
A. Size of the molecule
B. Shape of the molecule
c. charge of the molecule
D. All of these | 0 | Biology |
Match the following lists and choose the correct combination.
List-I List-II
(A)Trichomes \( \quad \) (i)Gaseous exchnage
(B)Tracheid \( \quad \) (ii)Mechanical strength
(C)Bast fiber
(iii)Prevent water loss
(iv)Water conduction (D)Guard cells food pf (v)Synthesis
\( A \)
A- (iii), B- (v), C- (iv), D- (ii)
B. A- (iii), B- (iv), C- (ii), D- (i)
\( c \)
A- (i), B- (iv), C- (ii), D- (iii)
\( A-(v) \) C- (iv), D- (ii)
D. B- (iii) | 0 | Biology |
Out of \( 1 \mathrm{M} \) glucose and \( 2 \mathrm{M} \) glucose. \( 2 \mathrm{M} \) glucose has a higher boiling point.
A. True
B. False | 1 | Chemistry |
Which one of the following statements
is not true regarding diborane?
A. It has two bridging hydrogens and four perpendicular to the rest.
B. When methylated, the product is \( M e_{4} B_{2} H_{2} \)
C. The bridging hydrogens are in a plane perpendicular to the rest.
D. All the B - H bond distances are equal | 1 | Chemistry |
The following is the bond of maximum bond energy:
A. s-s
B. 0-0
c. se-se
D. Te-Te | 1 | Chemistry |
In a class, 54 students are good in Hindi only, 63 students are good in Mathematics only and 41 students are good in English only. There are 18 students who are good in both Hindi and Mathematics. 10 students are good in all three subjects. What is the number of students who are good in Hindi and Mathematics but not in
English?
A . 18
в. 12
\( c \cdot 10 \)
\( D \) | 2 | Maths |
Arrange the following compounds in
increasing order of their boiling points:
\( \mathbf{C H}_{3} \mathbf{C H}_{2} \mathbf{C H}_{2} \mathbf{C H O}, \mathbf{C H}_{3} \mathbf{C H}_{2} \mathbf{C H}_{2} \mathbf{C H}_{2} \) | 1 | Chemistry |
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