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Root mean square velocity of molecules of a diatomic gas is to be increased to 1.5 times, If the process is done adiabtically, the ratio of initial volume to the final volumes is :
A . 2.25
B. 4.6
\( c .5 .6 \)
D. 7.5
| 1 |
Chemistry
|
Find square root of 0.4225
A . 0.65
B. 6.5
c. 0.21
D. 0.021
| 2 |
Maths
|
A particle is executing SHM with amplitude \( A \) and has maximum velocity
\( V_{0} . \) Find its speed when it is located at
distance of A/2 from mean position.
| 3 |
Physics
|
\( \int_{0}^{1} \sqrt{\boldsymbol{x}(\mathbf{1}-\boldsymbol{x})} \boldsymbol{d} \boldsymbol{x} \)
| 2 |
Maths
|
The electric charge developed on glass
rod rubbed with silk cloth is different
from the charge developed on ebonite rod rubbed with fur
A. True
B. False
| 3 |
Physics
|
Which of the following statements is
NOT true in relation to a system that
has reached the critical temperature?
A. Substances can have more than one critical
temperature.
B. A surface between the liquid and vapour phases is no longer present.
C. The system can be described as a homogenous fluid
D. The system must a closed system
| 1 |
Chemistry
|
A mass \( m=20 \) g has a charge \( q=3.0 \)
mC. It moves with a velocity of \( 20 \mathrm{m} / \mathrm{s} \)
and enters a region of electric field of \( 80 \mathrm{N} / \mathrm{C} \) in the same direction as the
velocity of the mass. The velocity of the mass after 3 seconds in this region is:
| 3 |
Physics
|
The resultant resistance between \( A \) and
B is, given the galvanometer is ideal
with resistance 0
A . \( 4 \Omega \)
B. \( 2 \Omega \)
\( c .1 \Omega \)
D. \( 10 \Omega \)
| 3 |
Physics
|
Find the centre of mass of a uniform
solid cone.
| 3 |
Physics
|
Match List I (compounds) with List -II (used as) and select the correct answer
using the codes given below are the lists.
| 1 |
Chemistry
|
The process of making soap by the hydrolysis of fats and oils with alkalis is called:
A. hydrolysis
B. saponification
c. esterification
D. none of the above
| 1 |
Chemistry
|
Identify the correct statement about
light rays:
A. light propagate along a straight line
B. two light rays donot disturb each other upon intersection
C . object and its image are inter-changeable
D. none of these
| 3 |
Physics
|
If the value of the determinant
\( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{1} & \boldsymbol{1} \\ \boldsymbol{1} & \boldsymbol{b} & \boldsymbol{1} \\ \boldsymbol{1} & \boldsymbol{1} & \boldsymbol{c}\end{array}\right| \) is positive, then
A \( . a b c>1 \)
B . \( a b c>-8 \)
c. \( a b c<-8 \)
D. \( a b c>-2 \)
| 2 |
Maths
|
For the same mass, which one of the
following has the maximum thermal capacity?
A. wood
B. copper
c. water
D. Ice
| 3 |
Physics
|
In the figure given below, Find the
equivalent capacitance of the network between points \( A \) and \( B \)
Given \( : \boldsymbol{C}_{\mathbf{1}}=\boldsymbol{C}_{\mathbf{5}}=\mathbf{4} \boldsymbol{\mu} \boldsymbol{F}, \boldsymbol{C}_{\mathbf{2}}=\boldsymbol{C}_{\mathbf{3}}= \)
\( C_{4}=2 \mu F \)
| 3 |
Physics
|
The term tetanus refers to
A. The partial sustained contraction of major supporting muscles
B. A stronger contraction resulting from multiple motor unit summation
C. The result of wave summation, which produces a smooth and sustained contraction of a muscle
D. The state of muscle fatigue caused by depletion of ATP and accumulation of lactic acid
| 0 |
Biology
|
Which one of the following traits of garden pea, studied by Mendel, was a recessive feature?
A. Axial flower position
B. Green seed colour
c. Green pod colour
D. Round seed shape
| 0 |
Biology
|
Coagulation of blood is an important mechanism. Explain its mechanism.
| 0 |
Biology
|
\( \mathbf{f}\left[\begin{array}{cc}\boldsymbol{x}-\boldsymbol{y} & \boldsymbol{z} \\ \mathbf{2} \boldsymbol{x}-\boldsymbol{y} & \boldsymbol{w}\end{array}\right]=\left[\begin{array}{cc}-\mathbf{1} & \mathbf{4} \\ \mathbf{0} & \mathbf{5}\end{array}\right], \) find the
value of \( \boldsymbol{x}+\boldsymbol{y} \)
| 2 |
Maths
|
Assertion
In circular motion work done by all the
forces acting on the body is zero.
Reason
Centripetal force and velocity are
mutually perpendicular.
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
| 3 |
Physics
|
For the given square lamina, the
moment of inertia through EF and \( A C \) is
| 3 |
Physics
|
The rate of a reaction is
always
A. Positive
B. Negative
c. Both a and \( b \)
D. None of above
| 1 |
Chemistry
|
A uniform ring of mass \( m, \) with the
outside radius \( r_{2}, \) is fitted tightly on a
shaft of radius \( r_{1} . \) The shaft is rotated
about its axis with a constant angular
acceleration \( \beta . \) Find the moment
of elastic forces in the ring as a
function of the distance \( r \) from the
rotation axis.
A \( \cdot N=\frac{1}{2} \frac{m \beta}{\left(r_{2}^{2}-r_{1}^{2}\right)}\left(r_{2}^{4}-r^{4}\right) \)
B. \( N=\frac{1}{2} \frac{m \beta}{\left(r_{2}^{2}+r_{1}^{2}\right)}\left(r_{2}^{4}-r^{4}\right) \)
C \( \quad N=\frac{1}{2} \frac{m \beta}{\left(r_{2}^{2}+r_{1}^{2}\right)}\left(r_{2}^{4}+r^{4}\right) \)
D. None of these
| 3 |
Physics
|
In the formation of \( N_{2}^{+} \) from \( N_{2} \), the electron is removed from:
A. \( \sigma \) orbital
B . \( \pi \) orbital
\( \mathbf{c} \cdot \sigma^{*} \) orbital
D . \( \pi^{*} \) orbital
| 1 |
Chemistry
|
8
| 1 |
Chemistry
|
The total volume of air accommodated
in the lungs at the end of maximum forceful inspiration includes:-
(A) \( \boldsymbol{E} \boldsymbol{R} \boldsymbol{V}+\boldsymbol{R} \boldsymbol{V} \)
(B) \( \boldsymbol{T} \boldsymbol{R} \boldsymbol{V}+\boldsymbol{E} \boldsymbol{R} \boldsymbol{V} \)
(C) \( \boldsymbol{T} \boldsymbol{V}+\boldsymbol{I} \boldsymbol{R} \boldsymbol{V}+\boldsymbol{E} \boldsymbol{R} \boldsymbol{V}+\boldsymbol{R} \boldsymbol{V} \)
(D) \( \boldsymbol{V} \boldsymbol{C}+\boldsymbol{R} \boldsymbol{V} \)
A . A only
B. A \& B
c. conly
D. c and
| 0 |
Biology
|
If the current sensitivity of a galvanometer is doubled, then its voltage sensitivity will be
A. doubled
B. halvedd
c. unchanged
D. four times
| 3 |
Physics
|
Which of the following is a use of
\( A l(O H)_{3} ? \)
A. It is used in fire extinguisher as a foaming agent
B. It is used in the preparation of fertilizers
c. It is used in removing stains of grease from cloths
D. It is used as an antacid
| 1 |
Chemistry
|
The hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) passes
through the point \( (\sqrt{6}, 3) \) and the length
of the latusrectum is \( \frac{18}{5} . \) Then, the
length of the transverse axis is equal to
A . 5
B. 4
\( c \cdot 3 \)
D. 2
E . 1
| 2 |
Maths
|
what is the deviation factor for ideal
gas?
A . 1.0
B. 2.0
c. 1.9
D. 0.9
| 1 |
Chemistry
|
The number of neutrons in an atom \( \boldsymbol{X} \) of
atomic number \( Z \) and mass number \( \boldsymbol{A} \)
is
A . zero
в. \( Z \)
c. \( A-Z \)
D.
| 3 |
Physics
|
Which of the following is the atomic number of metal?
A . 32
B. 34
c. 36
D. 38
| 1 |
Chemistry
|
One cannot see through fog because
A. Fog absorbs light
B. Refractive index of fog is unity
C. Light suffers total internal reflection at the droplets in fog
D. Light is scattered by the droplets in fog
| 3 |
Physics
|
Why do food chains in an ecosystem do not have more than 4 to 5 trophic levels
\( ? \)
| 0 |
Biology
|
Which of the following combination should be selected for better turning of an L.C.R circuit used for
communication?
A. \( R=25 \Omega, L=1 \cdot 5 H, C=45 \mu F \)
в. \( R=25 \Omega, L=1 \cdot 5 H, C=35 \mu F \)
c. \( R=25 \Omega, L=2 \cdot 5 H, C=45 \mu F \)
| 3 |
Physics
|
(a)Account for the following:
(i)Acidic character increase from \( \boldsymbol{H} \boldsymbol{F} \)
to \( H I \)
(ii)There is a large difference between the melting and boiling points of oxygen and sulphur.
(iii) Nitrogen does not form pentahalide.
(b) Draw the structures of the following:
(i) \( C l F_{3} \)
(ii) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\boldsymbol{4}} \)
| 1 |
Chemistry
|
Calculate the wavelength of radiation emitted when an electron in a hydrogen atom makes a transition from an energy level with \( n=3 \) to a level with \( n= \)
2:
A. 756 nm
B. 656 nm
\( c .556 \mathrm{nm} \)
\( D .663 \mathrm{nm} \)
| 1 |
Chemistry
|
Heat of reaction for the change \( Z n+ \)
\( \boldsymbol{C u}^{2+}(\mathbf{0 . 1} \boldsymbol{M}) \rightarrow \boldsymbol{Z} \boldsymbol{n}^{2+}(\mathbf{1} \boldsymbol{M})+\boldsymbol{C u} \mathbf{a t} \)
\( 27^{\circ} C \) is:
A. \( -2.17 \times 10^{5} \mathrm{J} \)
В. \( -2.29 \times 10^{5} \mathrm{J} \)
c. \( -2.24 \times 10^{5} J \)
D. \( -1.84 \times 10^{5} \mathrm{J} \)
| 1 |
Chemistry
|
Write the IUPAC name of the following compound:
\( o \)
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}-\stackrel{\|}{\boldsymbol{C}}-\boldsymbol{C} \boldsymbol{H}_{3} \)
| 1 |
Chemistry
|
A card is drawn from a pack of 52 cards.
The probability of getting a queen of spade or a king of diamond is
A \( \cdot \frac{1}{56} \)
в. \( \frac{1}{26} \)
c. \( \frac{1}{52} \)
D. \( \frac{3}{56} \)
| 2 |
Maths
|
In aqueous solution 1 mole of
\( \boldsymbol{C o C l}_{3} \cdot \boldsymbol{4} \boldsymbol{N} \boldsymbol{H}_{3} \) gives 1 mole of \( \boldsymbol{A g C l} \)
precipitate with excess \( A g N O_{3}, \) then what is the secondary valency of metal?
\( A \cdot 3 \)
B. 4
\( c \cdot 5 \)
D. 6
| 1 |
Chemistry
|
Lower surface of a plank is rough and
lying at rest on a rough horizontal surface. Upper surface of the plank is smooth and has a smooth hemisphere placed over it through a light string as shown in the figure. After the string is burnt, trajectory of centre of mass of the sphere is:
A . a circle
B. an ellipse
c. a stright line
D. a parabola
| 3 |
Physics
|
How can you alter the frequency of ringing of an electric bell?
| 3 |
Physics
|
What is the percent ionization \( (\alpha) \) of \( a \)
\( 0.01 M H A \) solution?
(Given that \( \boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 0}^{-4} \) )
A \( .9 .5 \% \)
B. 1\%
c. \( 10.5 \% \)
D. \( 10 \% \)
| 1 |
Chemistry
|
A spherical balloon rises up and the
radius become twice that on the ground.
Assuming temperature to be constant
the pressure at that altitude is
A. \( 1 / 3 \) rd of that on the earth
B. \( 1 / \) 9th that on the earth's surface
C. \( 1 / 8 \) times of that on the earth's surface
D. 3 times of that on the surface of the earth
| 3 |
Physics
|
Select the correct match
\( \begin{array}{lll}\text { Hormone } & \text { Target Organ } & \text { Source } \\ \text { CCK-PZ } & \begin{array}{l}\text { Gallbladder and } \\ \text { pancreas }\end{array} & \begin{array}{l}\text { Small } \\ \text { intestine }\end{array} \\ \text { GIP } & \begin{array}{l}\text { Gastrointestinal } \\ \text { tract }\end{array} & \text { Pancreas } \\ \text { Gastrin } & \text { Liver and stomach } & \text { Duodenum } \\ \text { Secretin } & \begin{array}{l}\text { Liver and } \\ \text { gallbladder }\end{array} & \text { Duodenum }\end{array} \)
| 0 |
Biology
|
Simplify
\( \left(a^{3}-2 a^{2}+4 a-5\right)- \)
\( \left(-a^{3}-8 a+2 a^{2}+5\right) \)
A \( \cdot 2 a^{3}+7 a^{2}+6 a-10 \)
В. \( 2 a^{3}+7 a^{2}+12 a-10 \)
c. \( 2 a^{3}-4 a^{2}+12 a-10 \)
D . \( 2 a^{3}+4 a^{2}+6 a-10 \)
| 2 |
Maths
|
In an examination, 460 students
appeared. Out of these students; \( 23 \% \) got first division, \( 62 \% \) got second division and the remaining just passed. Assuming that no student failed. Find the number of students who just
passed
A . 69
B. 45
c. 55
D. 66
| 2 |
Maths
|
Assertion
Tetany is rapid spasm in muscle.
Reason
Tetany Is usually caused by an increase
in the blood calcium level.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not
the correct explanation of assertion.
C. If assertion Is true but reason is false.
D. If both assertion and reason are false.
| 0 |
Biology
|
A stick of mass \( \mathrm{m} \) and length lis pivoted at one end and is displacement trough an angle \( \theta \). The increase in
potential energy is
| 3 |
Physics
|
An observer moves with a constant
speed along the line joining two stationary objects. He will observe that the two objects This question has multiple correct options
A. have the same speed
B. have the same velocity
c. move in the same direction.
D. move in opposite directions.
| 3 |
Physics
|
Which term of the G.P.: \( \sqrt{\mathbf{3}}, \mathbf{3}, \mathbf{3} \sqrt{\mathbf{3}}, \ldots \) is
729?
| 2 |
Maths
|
A polymeric sample in which \( 30 \% \) molecules have a molecular mass
\( 20,000,40 \% \) have 30,000 and the rest \( \mathbf{3 0 \%} \) have \( \mathbf{6 0}, \mathbf{0 0 0 .} \) The \( \left(\overline{\boldsymbol{M}}_{n}\right) \) and \( \left(\overline{\boldsymbol{M}}_{\boldsymbol{w}}\right) \)
of this sample are, respectively:
\( \mathbf{A} \cdot 36,000,43,333 \)
в. 43,000,36,000
c. 72,000,86,000
D. 86,000,72,000
| 1 |
Chemistry
|
Find the square root of the following number by Division method.
\( \mathbf{7 9 2 1} \)
| 2 |
Maths
|
The \( 10 \mathrm{kg} \) block is moving to the left
with a speed of \( 1.2 m / s \) at time \( t=0 . A \)
force \( F \) is applied as shown in the graph.
After 0.2 s the force continues at the
10 \( N \) level. If the coefficient of kinetic
friction is \( \mu_{k}=0.2 . \) Determine the time
\( t \) at which the block comes to a stop. \( (g= \)
\( \mathbf{1} \mathbf{0} \boldsymbol{m} / \boldsymbol{s}^{\mathbf{2}} \mathbf{)} \)
A . \( 0.333 s \)
B. \( 0.526 s \)
c. \( 0.165 s \)
D. None of the above
| 3 |
Physics
|
Assertion
Liquefaction of acetic acid leading to formation of glacial acetic acid.
Reason
Vinegar is roughly \( 3 \%-5 \% \) acetic acid by volume, making acetic acid the main component of vinegar apart from water
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
| 1 |
Chemistry
|
If \( f(x)=x^{3}-6 x^{2}+9 x+3 \) then \( f(2) \)
\( A \cdot 3 \)
B. 4
\( c \cdot 5 \)
D. None of these
| 2 |
Maths
|
The solubility of \( A g C N \) in a buffer solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{3} \) is:
\( \left[\text { Given } \boldsymbol{K}_{s p} \text { of } \boldsymbol{A} \boldsymbol{g} \boldsymbol{C} \boldsymbol{N}=\mathbf{1 . 2} \times \mathbf{1 0}^{-\mathbf{6}} \) and \right.
\( \boldsymbol{K}_{a} \) for \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N}=\boldsymbol{4} . \boldsymbol{8} \times 10^{-10} . \) Assume
that no cyano complex is formed.
A \( \cdot a=1.67 \times 10^{-5} M \)
В. \( a=1.58 \times 10^{-5} M \)
C \( . a=1.51 \times 10^{-5} M \)
D. None of these
| 1 |
Chemistry
|
A current of \( 0.5 A \) flows through a resistance of \( 10 \Omega \) for \( \frac{1}{2} \) hour. And the amount of electrical energy consumed by the resistance.
\( \mathbf{A} \cdot 4500 J \)
в. \( 500 J \)
c. \( 250 k J \)
D. \( 2.6 k J \)
| 3 |
Physics
|
Find the number of different 8 letter
arrangements that can be made from the letters of the word "DAUGHTER "so
that
\( (A) \) All vowels occur together
\( (B) \) All vowels do not occur together
| 2 |
Maths
|
Which of the following numbers has 1 significant figure?
A . 0.060
B. 0.60
\( c \cdot 6.0 \)
D. 60
| 1 |
Chemistry
|
\( \tan ^{-1}(-2) \) is equal to
A \( \cdot-\cos ^{-1}\left(\frac{-3}{5}\right) \)
в. \( _{\pi}+\cos ^{-1} \frac{3}{5} \)
c. \( -\frac{\pi}{2}+\tan ^{-1} x\left(-\frac{3}{5}\right) \)
D. none of these
| 2 |
Maths
|
A synthetic indicator phenolphthalein
gives colour in basic
solution.
A . red
B. blue
c. pink
D. colourless
| 1 |
Chemistry
|
Photoelectric effect was successfully explained by
A. Planck
B. Hallwash
c. Hertz
D. Einstein
| 3 |
Physics
|
How is the angle of emergence 'e' related to the angle of incidence 'i'?
| 3 |
Physics
|
Calculate the amount of oxygen at 0.20 atm dissolved in 1 kg of water at 293 K. The Henry's law constant for oxygen is
\( 4.58 \times 10^{4} \) atmosphere at \( 293 \mathrm{K} \)
\( \mathbf{A} \cdot 7.07 \times 10^{-6} \mathrm{kg} \)
В. \( 7.27 \times 10^{-6} \mathrm{kg} \)
C \( .7 .57 \times 10^{-6} \mathrm{kg} \)
D. \( 7.77 \times 10^{-6} \mathrm{kg} \)
| 1 |
Chemistry
|
Eggs do not occur in archegonia in
A. Bryophyta
B. Pteridophyta
c. Angiosperms
D. spermatophyta
| 0 |
Biology
|
\( \lim _{x \rightarrow 1}\{1-x+[x+1]+[1-x]\}, \) where
\( x \) ] denotes greatest integer function, is
\( A \cdot 0 \)
B.
\( c .-1 \)
\( D .2 \)
| 2 |
Maths
|
A cloud is at a potential of \( 8 \times 10^{9} V \)
relative to the ground. A charge of \( 40 C \) is transferred in a lightning stroke
between the cloud and the earth. The
energy released is:
A \( \cdot 3.2 \times 10^{11} J \)
B . \( 5 \times 10^{9} J \)
c. \( 2 \times 10^{9} J \)
D. \( 32 \times 10^{12} J \)
| 3 |
Physics
|
Solve: \( \frac{|\boldsymbol{x}|-\mathbf{1}}{|\boldsymbol{x}|-\mathbf{3}} \geq \mathbf{0}, \boldsymbol{x} \in \boldsymbol{R}, \boldsymbol{x} \neq \pm \mathbf{3} \)
| 2 |
Maths
|
A spore producing plant is
A. Rose
B. Bread mould
c. Potato
D. Ginger
| 0 |
Biology
|
n \( X e F_{4} \) there are \( _{--}-_{-}- \) - lone pairs
of electron.
| 1 |
Chemistry
|
A spherical hole of radius \( \boldsymbol{R} / \mathbf{2} \) is
excavated from the asteroid of mass \( M \)
as shown in the figure. The gravitational acceleration at a point on the surface of the asteroid just above the excavation
is
A \( \cdot \frac{G M}{R^{2}} \)
в. \( \frac{G M}{2 R^{2}} \)
c. \( \frac{G M}{8 R^{2}} \)
D. \( \frac{7 G M}{8 R^{2}} \)
| 3 |
Physics
|
A \( 100 e V \) electron collides with a
stationary helium ion \( \left(H e^{+}\right) \) in its ground state and excites to a higher
level. After the collision, \( \boldsymbol{H} e^{+} \) ion emits
two photons in succession with wavelengths \( 1085 A \) and 304 A. Find the
principal quantum number of the excited state. Also, calculate the energy
of the electron after the collision. Given
\( \boldsymbol{h}=\mathbf{6 . 6 3} \times \mathbf{1 0}^{-\mathbf{3 4} \mathbf{J}} \boldsymbol{s} \)
| 3 |
Physics
|
Let \( x=\sin 1^{\circ}, \) then the value of the
\( \operatorname{expression} \frac{1}{\cos 0^{\circ} \cdot \cos 1^{\circ}}+ \)
\( \frac{1}{\cos 1^{\circ} \cdot \cos 2^{\circ}}+\frac{1}{\cos 2^{\circ} \cdot \cos 3^{\circ}}+\dots+ \)
\( \frac{1}{\cos 44^{\circ} \cdot \cos 45^{\circ}} \) is equal to
A . \( x \)
в. \( \frac{1}{x} \)
\( c \cdot \frac{\sqrt{2}}{x} \)
D. \( \frac{x}{\sqrt{2}} \)
| 2 |
Maths
|
A voltage of \( 1.1 \mathrm{V} \) is needed to stop the
photocurrent generated when a monochromatic light of wavelength
\( \lambda=4000 A \) is incident on it. Find the
work function of metal
\( A \cdot 2.3 \mathrm{ev} \)
B. 2 ev
c. 4.2 ev
D. None pf these
| 3 |
Physics
|
According to the five kingdom classification, bacteria belong to
A. Protista.
B. Monera.
c. Plantae.
D. Archaea.
| 0 |
Biology
|
Find the length of the perpendicular from the point (4,-7) to the line joining the origin and the point of intersection of the \( 2 x-3 y+14=0 \) and \( 5 x+5 y- \)
\( \mathbf{7}=\mathbf{0} ? \)
| 2 |
Maths
|
Two monatomic ideal gases 1 and 2 of
molecular masses \( m_{1} \) and \( m_{2} \)
respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to gas 2 is given by
A. \( \frac{m_{1}}{m_{2}} \)
B. \( \sqrt{\frac{m_{1}}{m_{2}}} \)
c. \( \frac{m_{2}}{m_{1}} \)
D. \( \sqrt{\frac{m_{2}}{m_{1}}} \)
| 3 |
Physics
|
They does the mercury column in the barometer fall rapidly before a severe
storm?
A. It is due to the fall in atmospheric pressure
B. It is due to the rise in atmospheric pressure
c. It is due to decrease in humidity in air
D. It is due to the severe heat energy from the sun
| 3 |
Physics
|
By selling a bouquet for Rs \( 322, \) a florist
has a gain of \( 15 \% . \) At what price should
he sell it to gain \( 25 \% ? \)
| 2 |
Maths
|
The type of bond involved in the
formation of sodium chloride is:
A. ester bond
B. peptide bond
c. ionic bond
D. covalent bond
E. hydrogen bond
| 1 |
Chemistry
|
A force of \( 10 \mathrm{N} \) is applied to an object,
whose area is \( 5 \mathrm{cm}^{2} \) at an angle of 30
degrees with the vertical. What kind of stress can be found from this data
A. Normal and areal stress can be found
B. only normal stress can be found
c. only areal stress can be found
D. Stress cannot be found from this data, since applied force is neither along the horizontal or vertica
| 3 |
Physics
|
An \( \alpha \) - particle accelerated through volt is fired towards a nucleus. Its
distance of closest approach is \( r \). If a proton is accelerated through the same potential and fired towards the same nucleus, the distance of closest approach of proton will be:
\( A \)
B . \( 2 r \)
\( \mathrm{c} \cdot r / 2 \)
D. \( r / 4 \)
| 3 |
Physics
|
Match the column.
| 1 |
Chemistry
|
Can a non polar molecule have polar
covalent bonds?
| 1 |
Chemistry
|
Find the differential equation of family
of curves \( \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{x}}(\boldsymbol{A} \cos \boldsymbol{x}+\boldsymbol{B} \sin \boldsymbol{x}) \)
where \( A \) and \( B \) are arbitrary constants.
| 2 |
Maths
|
The equation of the line which is equidistant from the lines \( y=-\frac{13}{2} \) and \( y=\frac{17}{2} \) is :
\( \mathbf{A} \cdot y=2 \)
B. \( y=\frac{1}{2} \)
c. \( y=-1 \)
D. \( y=1 \)
| 2 |
Maths
|
A gaseous alkane is exploded with
oxygen. The moles of \( O_{2} \) for complete
combustion and \( C O_{2} \) formed is in the
ratio \( 7: 4 . \) Deduce the molecular
formula of alkane.
A \( \cdot C_{2} H_{6} \)
в. \( C H_{3} \)
\( \mathbf{c} \cdot C_{3} H_{6} \)
D. \( C_{2} H_{4} \)
| 1 |
Chemistry
|
\( N_{2} O \) is isoelectronic with \( C O_{2} \) and \( N_{3} \)
how many \( N-O-N \) linkages is/are
present in \( N_{2} \) O?
| 1 |
Chemistry
|
An article manufactured by a company
consists of two parts \( X \) and \( Y . \) In the
process of manufacture of the part \( \boldsymbol{X} . \mathbf{9} \)
out of 100 parts may be defective.
Similarly 5 out of 100 are likely to be
defective in part \( Y \). Calculate the
probability that the assembled product will not be defective.
| 2 |
Maths
|
Eusporangiate fern is produced from
A. Group of sporangial initial cell
B. single initial cell
c. Epidermal cells
D. Hypodermal cells
| 0 |
Biology
|
Assertion
The maximum refractive index of liquid for total internal reflection of the ray
passing through the prism should be \( \sqrt{2} \)
Reason
Here critical angle is \( 45^{\circ} \)
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
| 3 |
Physics
|
For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?
A. an electron
B. a proton
c. an \( \alpha \) particle
D. a dust particle
| 1 |
Chemistry
|
toppr \( t \)
Q Type your question
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
The correct formula for the angular
frequency \( \omega_{0} \) of an \( L-C \) resonant
circuit is
A \( \cdot \frac{1}{\sqrt{L C}} \)
B . \( \sqrt{L C} \)
c. \( \frac{1}{2 \pi \sqrt{L C}} \)
D. \( \frac{1}{2 \pi L C} \)
| 3 |
Physics
|
Discuss briefly giving an example in each case the role of coordination
compounds in:
(i) biological systems
(ii) medicinal
chemistry and (iii) analytical chemistry (iv) extraction/metallurgy of
metals.
| 1 |
Chemistry
|
Let \( \boldsymbol{f}(\boldsymbol{x})=(\boldsymbol{x}-\boldsymbol{p})^{2}+(\boldsymbol{x}-\boldsymbol{q})^{2}+(\boldsymbol{x}- \)
\( \boldsymbol{r})^{2} . \) Then \( \boldsymbol{f}(\boldsymbol{x}) \) has a minimum at \( \boldsymbol{x}=\boldsymbol{\lambda} \)
where \( \lambda \) is equal to
A. \( \frac{p+q+r}{3} \)
B. \( \sqrt[3]{p q r} \)
c. \( \frac{3}{\frac{1}{p}+\frac{1}{q}+\frac{1}{r}} \)
D. none of these
| 2 |
Maths
|
Why the compounds of \( T l^{+} \) are much
more stable than those of \( \boldsymbol{T l}^{\mathbf{3}+} \) ?
| 1 |
Chemistry
|
The final image formed by an astronomical telescope is:
A. real and erect
B. virtual and erect.
c. real and inverted.
D. virtual and inverted.
| 3 |
Physics
|
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