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A cylinder of mass \( 10 \mathrm{kg} \) and radius 15 \( \mathrm{cm} \) is rolling perfectly on a plane of
inclination \( 30^{\circ} . \) The coefficient of static
friction \( \mu_{s}=0.25 \)
(a) How much is the force of friction
acting on the cylinder?
(b) What is the work done against friction during rolling?
(c) If the inclination \( \theta \) of the plane is
increased, at what value of \( \theta \) does the
cylinder begin to skid, and not roll
perfectly?
| 3 |
Physics
|
How many number of aluminium ions
are present in 0.051 g of aluminium oxide?
A. \( 6.023 \times 10^{20} \) ions
B. 3 ions
c. \( 6.023 \times 10^{23} \) ions
D. 9 ions
| 1 |
Chemistry
|
The volume of gas is reduced to half from its original volume. The specific heat will:
A. get reduced to half
B. get doubled
c. remains constant
D. get increased by four times
| 1 |
Chemistry
|
An electric dipole is placed in a non-
uniform electric field, then
A. The resultant force acting on the dipole is always zero
B. Torque acting on it may be zero
C. The resultant force acting on the dipole may be zero
D. Torque acting on it is always zero
| 3 |
Physics
|
\( H_{2} \) reacts much faster with \( C l_{2} \) then \( D_{2} \)
because:
A. rate of diffusion of \( H_{2} \) is greater than \( D_{2} \)
B. \( H_{2} \) has lower energy of activation than \( D_{2} \)
C. both (A) and (B) are correct
D. none of the above is correct
| 1 |
Chemistry
|
Gram molar volume for a gas is always considered at conditions.
A . NTP
B. STP
c. variable temperature
D. none of these
| 1 |
Chemistry
|
\( \int_{0}^{\frac{2}{3}} \frac{d x}{4+9 x^{2}}= \)
| 2 |
Maths
|
Which of the following does not represent a disaccharide?
A. Maltose
B. Sucrose
c. Lactose
D. Dextrose
| 1 |
Chemistry
|
Which of the following is most soluble in water?
A. n-butyl alcohol
B. Iso-butyl alcohol
c. Tertiary butyl alcohol
D. None of the above
| 1 |
Chemistry
|
A sulphate of a metal (A) on heating evolves two gases \( (\mathrm{B}) \) and \( (\mathrm{C}) \) and an
oxide (D). Gas (B) turns \( K_{2} C r_{2} O_{7} \) paper
green while gas (C) forms a trimer in which there is no \( S-S \) bond.
Compound (D) with \( H C l \), forms a lewis
acid (E) which exists as a dimer.
Compounds \( (A),(B),(C),(D) \) and \( (E) \) are
respectively:
A \( \cdot \) FeSO\( _{4}, S O_{2}, S O_{3}, F e_{2} O_{3}, F e C l_{3} \)
в. \( A l_{2}\left(S O_{4}\right)_{3}, S O_{2}, S O_{3}, A l_{2} O_{3}, F e C l_{3} \)
c. FeS\( , S O_{2}, S O_{3}, \) FeSO\( _{4}, \) FeCl\( _{1} \)
D. FeS, \( S O_{2}, S O_{3}, F e_{2}\left(P O_{4}\right)_{3}, F e C l_{2} \)
| 1 |
Chemistry
|
Which of the following part is excluded from the study of T.S. of gut.
A. Pharynx
B. Esophagus
c. colon
D. Rectum
| 0 |
Biology
|
If \( \bar{a}=\hat{i}-\hat{j}+\hat{k} \) and \( \bar{b}=2 \hat{i}-\hat{j}+3 \hat{k} \)
then the unit vector along \( \bar{a}+\bar{b} \) is
A \( \cdot \frac{3 \hat{i}+4 \hat{k}}{5} \)
B. \( \frac{-3 \hat{i}+4 \hat{k}}{5} \)
c. \( \frac{-3 \hat{i}-4 \hat{k}}{5} \)
D. none of these
| 3 |
Physics
|
Which of the following statement
regarding free radical halogenation of
alkane is not true?
A. Hydrogen abstraction by halogen radical in the propagation step is exothermic in both chlorination and bromination
B. Hydrogen abstraction by halogen radical in the propagation step is exothermic in cholorination but endothermic in bromination
C. A single halogen radical may bring about halogenation to thousands of alkane molecule
D. Continuous source of energy is required to continue the halogenation reaction
| 1 |
Chemistry
|
A sample of \( \mathbf{C} \mathrm{O}_{2} \) contains \( 2 \mathrm{N}_{\mathrm{A}} \) atoms
of
C. From this \( \frac{1}{10} \) moles of \( C O_{2} \) are removed what will will be remaining mass of carbon dioxide in the sample?
| 1 |
Chemistry
|
Which of the following does not react with oxygen directly?
\( A \cdot z n \)
в. \( T \)
\( c \cdot P t \)
D. Fe
| 1 |
Chemistry
|
A body is suspended from a spring balance kept in a satellite The reading
of the balance is \( W_{1} \) when the satellite
goes in an orbit of radius \( R \) and is \( W_{2} \)
when it goes in an orbit of radius \( 2 R \) Then
A. \( W_{1}=W_{2} \)
B. \( W_{1}<W_{2} \)
\( \mathbf{c} \cdot W_{1}>W_{2} \)
D. \( W_{1} \neq W_{2} \)
| 3 |
Physics
|
Two atoms of the same element are
found to have different number of
neutrons in their nuclei. These two
atoms are :
\( \mathbf{A} \cdot \) Isomers
B. Isotopes
c. Isobars
D. Allotropes
| 3 |
Physics
|
Which of the following statement is/ are correct?
I. A person suffering from myopia can see distant obhects clearly.
II.. The bluish color of water in deep sea is only due to reflection of sky in water.
III. In vacuum, all the colored of the light
move with the same speed.
IV. At noon, the sun appears white as light is least scattered
A. I only
B. Il only
c. I and II only
D. III and IV only
| 3 |
Physics
|
The equation of the image of the circle \( x^{2}+y^{2}+16 x-24 y+183=0 \) by the
line mirror \( 4 x+7 y+13=0 \) is:
A \( \cdot x^{2}+y^{2}+32 x-4 y+235=0 \)
B. \( x^{2}+y^{2}+32 x+4 y-235=0 \)
C. \( x^{2}+y^{2}+32 x-4 y-235=0 \)
D. \( x^{2}+y^{2}+32 x+4 y+235=0 \)
| 2 |
Maths
|
From the following which are the factors affecting the rate of evaporation?
A. Temperature
B. Humidity
c. Exposed Surface Area
D. All of the above
| 3 |
Physics
|
In insecta heart is
circulatory system is
A. Ventral, closed
B. Ventral, open
c. Dorsal, open
D. Dorsal, closed
| 0 |
Biology
|
How many \( P=O \) bonds and \( P-O H \)
bonds (respectively) are present in orthophosphoric acid?
A .2,1
в. 3,3
\( \mathrm{c} .1,3 \)
D. 4,3
| 1 |
Chemistry
|
Which form of energy is a measure of
the electron stability when it is in bound state with nucleus?
A. Potential energy
B. Kinetic energy
c. vibrational energy
D. lonization energy
| 1 |
Chemistry
|
\( 1.2375 \mathrm{g} \) of cupric oxide on being heated in a current of hydrogen gave 0.9322 g of the metal In another experiment \( 0.9369 \mathrm{g} \) of pure copper was dissolved in nitric acid Excess of acid evaporated and the residue has ignited The weight of the cupric oxide left was 1.2469 g. Which law of chemical combination is
shown by the above results?
A. Law of constant proportions
B. Law of multiple proportions
c. Law of conservation of mass
D. Law of constant volumes
| 1 |
Chemistry
|
Assertion
CuT, Cu7 and multiload 375 are the
hormone releasing IUDs.
Reason
Cu ions released by some UDS affect the ability of uterine wall to support embryo thus cause contraception.
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
| 0 |
Biology
|
A driving mirror on a car is never
concave because:
\( \mathbf{A} \). its field of view is too small.
B. the image would be inverted.
C. the image would be virtual and therefore useless for the driver.
D. only a plane mirror forms true images.
| 3 |
Physics
|
A block of mass \( m \) moving with speed \( v \)
collides with another block of mass \( 2 m \)
at rest. The lighter block comes to rest after collision. What is the value of
coefficient of restitution?
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{3}{4} \)
D. \( \frac{1}{4} \)
| 3 |
Physics
|
Find derivative of \( \sin ^{-1}\left(x^{2}\right) \) using first
principle.
A \( \cdot \frac{2 x}{\sqrt{1-x^{2}}} \)
в. \( \frac{2 x}{\sqrt{1-x}} \)
c. \( \frac{2 x}{\sqrt{1-x^{4}}} \)
D. \( \frac{x}{\sqrt{1-x^{4}}} \)
| 2 |
Maths
|
Reaction of Chlorobenzene with \( \boldsymbol{C H}_{3} \boldsymbol{C l} \)
in presence of \( A l C l_{3} \) gives:
A. Toulene
B. m-chloro toulene
c. only o-chloro toulene
D. Mixture of o- and p-chlorotoulene
| 1 |
Chemistry
|
The reaction which gives Borazole as a
major product is ?
\( \mathbf{A} \cdot L i H+B_{2} H_{6}^{2 m o l e s L i H_{\rightarrow} 1 m o l e B_{2} H_{6}} \)
\( \mathbf{B} \cdot B_{2} H_{6}+N H_{3} \frac{2 m o l e s B_{2} H_{6} 1 m o l e N H_{3}}{l o w t e m p} \)
\( \mathbf{c} \cdot B_{2} H_{6}+N H_{3} \frac{1 m o B_{2} H_{6} .2 m o l e s N H_{3}}{l o w t e m p} \)
D. \( B_{2} H_{6}+N H_{3} \frac{1 m o B_{2} H_{6} .2 \text { moles } N H_{3}}{\text {hightemp}} \)
| 1 |
Chemistry
|
Prove that: \( 2\left|\begin{array}{cc}8 & -5 \\ -2 & 6\end{array}\right|=\left|\begin{array}{cc}14 & -2 \\ -4 & 6\end{array}\right| \)
| 2 |
Maths
|
Differentiate between dendrites and
axon.
| 0 |
Biology
|
The angle of a triangle are in the ratio 2 :
1: 3. then, the triangle is right angled triangle.
A. True
B. False
| 2 |
Maths
|
Which of the following gas when taken in the discharge tube produces maximum specific charge of positive
rays?
A. oxygen
B. Nitrogen
c. Helium
D. Hydrogen
| 1 |
Chemistry
|
Fill in the spaces \( a, b, c \) and \( d \) in the
following table of contraceptive devices
and the methods of contraception.
\begin{tabular}{|c|c|}
\hline Multiload 375 \( b \) \( c \) & \( a \) Non-medicated IUD Barier (mcthod) used by f fmales \( d \) \\
\hline Progestasert & \\
\hline
\end{tabular}
| 0 |
Biology
|
If the \( 7^{t h} \) and \( 13^{t h} \) term an Arithmetic
progression are 34 and 64 respectively. then the common difference is,
\( A \cdot 5 \)
B. 10
c. 17
D. 32
| 2 |
Maths
|
Assertion
Essential oils are volatile and are
insoluble in \( \boldsymbol{H}_{2} \boldsymbol{O} \)
Reason
Essential oils are purified by steam distillation
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
|
A capacitor of \( 10 \mu F \) capacitance is charged by a \( 12 V \) battery. Now the space
between the plates of capacitors is filled with a dielectric of dielectric constant
\( K=3 \) and again it is charged. The
magnitude of the charge is :
A. \( 120 \mu C \)
в. \( 240 \mu C \)
c. \( 360 \mu C \)
D. \( 480 \mu C \)
| 3 |
Physics
|
For a reversible reaction, if the
concentrations of the reactants are
doubled, then the equilibrium constant value
A. gets doubled
B. gets halved
c. remains the same
D. increases four times
| 1 |
Chemistry
|
Statement: Combustion can take place
at all temperatures less than an ignition temperature.
State whether the given statement is
true or false.
A. True
B. False
| 1 |
Chemistry
|
In glomerulus of rabbit
A. Afferent glomerular capillary is wider than efferent glomerular capillary
B. Afferrent glomerular capillary is narrower than efferent glomerular capillary
C. Afferent glomerular arteriole is narrower than the efferent glomerular arteriole
D. Afferent glomerular arteriole is wider than the efferent glomerular arteriole
| 0 |
Biology
|
Conducting part of xylem is also known
as
A. Leptom
B. Bast
c. Rhytidome
D. Hadrom
| 0 |
Biology
|
If \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x} \boldsymbol{y}}{\boldsymbol{x}^{2}+\boldsymbol{y}^{2}} ; \boldsymbol{y}(1)=1 ; \) then a value
of \( \boldsymbol{x} \) satisfying \( \boldsymbol{y}(\boldsymbol{x})=\boldsymbol{e} \) is
A \( \cdot \sqrt{3} e \)
B. \( \frac{e}{\sqrt{2}} \)
\( c \cdot \sqrt{2} e \)
D. \( \frac{1}{2} \sqrt{3} \epsilon \)
| 2 |
Maths
|
When \( S O_{2} \) gas is passed through solution of colemanite solution in
boiling water, which product is formed?
A. Borax
B. Boric acid
c. Meta boric acid
D. None of these
| 1 |
Chemistry
|
The smelting of iron in a blast furnace involves the following processes:
This question has multiple correct options
A. combustion
B. reduction
c. slag foramtoin
D. sublimation
| 1 |
Chemistry
|
The latest space ship launched by ISRO the "MANGALYAN" was targeted to reach which planet?
A. Mars
B. Saturn
c. sun
D. Mercury
| 3 |
Physics
|
n given fig. sides \( A B \) and \( A C \) of
\( \Delta A B C \) are produced to \( E \) and \( D \)
respectively. If angle bisectors \( B O \) and
\( C O \) of \( \angle C B E \) and \( \angle B C D \) meet each
other at point \( O, \) then prove that:
\( \angle B O C=90^{\circ}-\frac{\angle x}{2} \)
| 2 |
Maths
|
Study of external structure of a plant is
called
A. Histology
B. Morphology
c. taxonomy
D. Phyllotaxy
| 0 |
Biology
|
In the figure above, find the value of \( a \)
given that \( \boldsymbol{x} \| \boldsymbol{y} \)
\( \mathbf{A} \cdot b+c \)
B. \( 2 b-c \)
c. \( 180-b+c \)
D. \( 180-b-c \)
| 2 |
Maths
|
If \( A \) and \( B \) are square matrices such that \( A B=I \) and \( B A=I, \) then \( B \) is
A. Unit matrix
B. Null matrix
c. Multiplicative inverse matrix of \( A \)
D. \( -A \)
| 2 |
Maths
|
Hari bought two fans for \( R s .2,400 \) each.
He sold one at a loss of \( 10 \% \) and the
other at a profit of \( 15 \% \). Find the selling price of each fan and also the total
profit or loss.
| 2 |
Maths
|
Explain the formation of stationary waves by analytical method. Show that nodes and antinodes are equally spaced in stationary waves.
| 3 |
Physics
|
Why asexual reproduction is
sometimes disadvantageous?
A. It allows animals that do not move around to produce offspring without finding mates
B. It allows an animal to produce many offspring quickly
C. It saves the time and energy of gamete production
D. It produces genetically uniform populations
| 0 |
Biology
|
The ages of Vivek and Sumit are in the
ratio of \( 2: 3 . \) After 12 years, their ages
will be in the ratio of \( 11: 15 . \) The age
of Sumit is
A. 32 years.
B. 42 years
c. 48 years
D. 56 years
| 2 |
Maths
|
What do you understand by the term
nuclear fusion?
| 3 |
Physics
|
Vein loading of sucrose into companion
cell is
A. Diffusion
B. Active process
c. Passive transport
D. Turgor
| 0 |
Biology
|
What are the values of the elements?
| 3 |
Physics
|
Goldfish are sold at Rs.15 each. The
rectangular coordinate graph showing the cost of 1 to 12 goldfish is:
A. a straight line segment
B. a set of horizontal parallel line segments
c. a set of vertical parallel line segments
D. a finite set of distinct points
E a straight line
| 2 |
Maths
|
When an object is moved along the
principal axis of a thin converging lens of focal length \( 12 \mathrm{cm} \), two images, three times the size of the object are obtained
when the object is at \( x_{1} \) and \( x_{2} \) distance from the lens. Which one of the following
could be the value of the ratio \( \frac{x_{1}}{x_{2}} ? \)
\( A \cdot 3 \)
B. 6
\( c \cdot 4 \)
D. 2
| 3 |
Physics
|
What are extrinsic semiconductors?
Write two differences between the two
types of extrinsic semiconductors.
| 3 |
Physics
|
Which of the following absorbs largest volume of hydrogen?
A. Colloidal palladium
B. Finely divided nickel
c. colloidal ferric hydroxide
D. Finely divided platinum
| 1 |
Chemistry
|
Wilkinsons catalyst is:
\( \mathbf{A} \cdot\left[\left(P P h_{3}\right)_{3} R h\right] C l \)
B. used in hydrogenation of alkenes and alkynes
C. homogeneous catalyst
D. all of these
| 1 |
Chemistry
|
box and covered it with a black paper
from all sides. They fixed a source of light (a torch) at one end of the box by making a hole in it and made another
hole on the other side to view the light.
They placed a milk sample contained in a beaker/tumbler in the box as shown
in the Fig.2.4. They were amazed to see
that milk taken in the tumbler was
illuminated. They tried the same
activity by taking a salt solution but
found that light simply passed through
it?
Can you suggest two more solutions
which would show the same effect as
shown by the milk solution?
| 1 |
Chemistry
|
Chlorine reacts with nitric oxide to
form?
A. \( N O C l_{2} \)
в. \( N O C l \)
\( \mathbf{c} \cdot N O_{2} C l_{2} \)
D. \( N O_{2} C l \)
| 1 |
Chemistry
|
The hybridization of \( I C l_{2}^{-} \) and \( C l O_{4}^{-} \) respectively are:
\( \mathbf{A} \cdot s p^{3} d^{2}, s p^{3} \)
B. \( s p^{2}, s p^{3} d \)
c. \( s p^{3} d, s p^{3} \)
D. None of these
| 1 |
Chemistry
|
No part of india is situated on the
equator .Is it possible to have a
geostationary satellite which always
remains over New Delhi?
| 3 |
Physics
|
In an adiabatic change, the pressure and temperature of a monoatomic gas
are related as \( \boldsymbol{P} \propto \boldsymbol{T}^{C}, \) where \( \boldsymbol{C} \) equals
A
в. \( \frac{5}{2} \)
\( c \cdot \frac{3}{5} \)
D.
| 3 |
Physics
|
The sum of all the coefficient of those
terms in the expansion of \( (a+b+c+d)^{8} \) which contains \( b \) but
not \( \boldsymbol{c} \) is
\( \mathbf{A} \cdot 6305 \)
B \( \cdot 4^{8}-3^{8} \)
C. Number of ways of forming 8 digit numbers using digits 1,2,3 each number as atleast one 3
D. Number of ways of forming 4 digit numbers using digits 1,2,3 each number as atleast one 3
| 2 |
Maths
|
Use the figure below to answer the question that follows. Which molecule or molecules has/have the same empirical formula as one of the others?
\[
\begin{array}{ll}
O=\mathbf{O} & \quad 0=\text { lone pair } \\
D=\mathbf{N} & 0=\text { partially filled } \\
\text { orbital }
\end{array}
\]
\[
0=\mathbf{H}
\]
II
A. II only.
B. III and IV
c. IV only
D. I and III, and III and IV
| 1 |
Chemistry
|
Find the measure of the complementary
angle of \( 90^{\circ} \)
A \( \cdot 0^{\circ} \)
B . 45
\( c .90 \)
D. 60
| 2 |
Maths
|
By inserting an iron core in a coil carrying current,the strength of its magnetic field will:
A. Increase
B. Decrease
c. Remain same
D. Become zero
| 3 |
Physics
|
Metallic sodium reacts with methanol
and ethanol to give \( O_{2} \) gas.
A. True
B. False
| 1 |
Chemistry
|
In Mendeleev's periodic table few elements that are chemically similar are placed in the same groups.
A. True
B. False
| 1 |
Chemistry
|
Which one of the following is not a chemical change?
A. Sublimation
B. Combustion
c. Electrolysis
D. Rusting
| 3 |
Physics
|
Iron filling and water were placed in a 5
litre vessel and sealed. The tank was
heated to \( 1000^{\circ} \mathrm{C} \). Upon analysis the tank was found to contain \( 1.1 \mathrm{g} \) of hydrogen and 42.5 g of water vapour. If the reaction in the tank is represented
by \( 3 \mathrm{Fe}(\mathrm{s})+4 \boldsymbol{H}_{2} \boldsymbol{O}_{(g)} \rightleftharpoons \boldsymbol{F} \boldsymbol{e}_{3} \boldsymbol{O}_{4}(\boldsymbol{s})+ \)
\( \mathbf{4} \boldsymbol{H}_{2}(\boldsymbol{g}) \)
The value of equilibrium constant, \( \boldsymbol{K}_{c} \)
is:
A . 30
B. 0.03
\( c \cdot 3 \)
D. 0.003
| 1 |
Chemistry
|
The distance between an object and the
screen is \( 100 \mathrm{cm} . \) A lens produces an
image on the screen when placed at
either positions \( 40 \mathrm{cm} \) apart. The power
of the lens is :
\( A \cdot 3 D \)
B. 5D
\( c .70 \)
D. 90
| 3 |
Physics
|
A circular grass lawn of \( 35 m \) in radius
has a path \( 7 m \) wide running around it
on the outside. The area ofthe path is?
A \( \cdot 1,496 m^{2} \)
B . \( 1,450 m^{2} \)
c. \( 1,576 m^{2} \)
D. \( 1,694 m^{2} \)
| 2 |
Maths
|
A and B are two solid spheres of equal masses. A rolls down an inclined plane
without slipping from a height \( \boldsymbol{H} . \) B falls vertically from the same height. Then on reaching the ground. This question has multiple correct options
A. both can do equal work
B. A can do more work than B
c. B can do more work than A
D. both A and B will have different linear speeds
| 3 |
Physics
|
The substance added to increase the
stability of a lyophobic sol are called:
A. promoters
B. stabilizers
c. inhibitors
D. poison
| 1 |
Chemistry
|
Maximum number of electrons that can
be filled in the third orbit of an atom is :
A . 18
B. 8
c. 10
D. 32
| 1 |
Chemistry
|
If \( \boldsymbol{R} \) is a symmetric relation on a set
\( A=\{1,2,3\}, \) then write the relation
between \( R \) and \( R^{-1} \)
| 2 |
Maths
|
Q Type your question
oe
4
3
\( c \)
\( D \)
| 1 |
Chemistry
|
If there is no greenhouse effect, then the average temperature at surface of earth would have been
A . 15
B. -18
\( c .-6 \)
D. 10
| 0 |
Biology
|
Mixing of non-reacting ideal gases at constant pressure is generally accompanied by:
A. decrease in entropy
B. increase in entropy
c. change in enthalpy
D. increase in free energy
| 1 |
Chemistry
|
State whether the given statement is true
or false:
Elements with an odd number of
protons usually have only one or two stable isotopes.
A. True
B. False
| 1 |
Chemistry
|
A group of worms lacking digestive system harbour these bacteria in their
tissues and use them as a source of
organic molecules. In this unique ecosystem, these specific groups of bacteria are playing the role of?
A. Decomposer only
B. Producer only
c. Primary consumer only
D. Secondary consumers only
| 0 |
Biology
|
The current in resistance \( \boldsymbol{R} \) at
resonance is
\( A \cdot \) zero
B. minimum but finite
c. maximum but finite
D. infinite
| 3 |
Physics
|
Expansion of series: \( \sum_{n=0}^{4} 2 n \)
A. \( 0+2+4+8+16 \)
B. \( 0+2+4+6+8 \)
c. \( 2+4+6+8+10 \)
D. None of the above
| 2 |
Maths
|
The clear sky appears blue because:
A. blue light gets absorbed in the atmosphere.
B. ultraviolet radiations are absorbed in the atmosphere.
C. violet and blue lights get scattered more than lights of all other colours by the atmosphere.
D. light of all other colours is scattered more than the violet and blue colour lights by the atmosphere.
| 3 |
Physics
|
What would be new resistance if length of conductor is doubled and thickness
is halved?
| 3 |
Physics
|
A charged particle q of mass m is in
equilibrium at a height h from a horizontal infinite line charge with
uniform linear charge density \( \lambda \). The
charge lies in the vertical plane containing the line charge. If the particle is displaced slightly (vertically), prove that the motion of the charged particle will be simple harmonic. Also find its time period
| 3 |
Physics
|
Arrange \( A g F, A g C l, A g B r \) and \( A g l \) in the increasing order of solubility in water.
A \( . A g B r<A g I<A g C l<A g F \)
в. \( A g I<A g B r<A g C l<A g F \)
c. \( A g I<A g C l<A g B r<A g F \)
D. None of the above
| 1 |
Chemistry
|
Which of the following is not primary pollutant?
\( A \cdot S O_{2} \)
в. \( H_{2} S \)
c. \( C O \)
\( \mathrm{D} \cdot \mathrm{SO}_{3} \)
| 1 |
Chemistry
|
If the frequency of a sound wave is doubled then the velocity of sound will be
A. zero
B. half
c. double
D. unchanged
| 3 |
Physics
|
Electromagnetic waves are:
A. Transverse
B. Longitudinal
C. May be longitudinal or transverse
D. Neither longitudinal nor transverse
| 3 |
Physics
|
If the function \( f(x)=\frac{K \sin x+2 \cos x}{\sin x+\cos x} \)
is strictly increasing for all values of \( x \)
then
\( \mathbf{A} \cdot K<1 \)
в. \( K>1 \)
c. \( K<2 \)
D. \( K>2 \)
| 2 |
Maths
|
A thermodynamic system goes from
states (i) \( P_{1}, V \) to \( 2 P_{1}, V \) (ii) \( P_{1}, V_{1} \) to
\( P_{1}, 2 V_{1} . \) Then work done in the two
cases is respectively
A .0,0
в. \( 0, P_{1} V_{1} \)
c. \( P_{1} V_{1}, 0 \)
D. \( P_{1} V_{1}, P_{1} V_{1} \)
| 3 |
Physics
|
Find the eccentricity, foci and the length
of the latus-rectum of the ellipse \( x^{2}+ \)
\( 4 y^{2}+8 y-2 x+1=0 \)
| 2 |
Maths
|
A parallelopiped has edges described by the \( \hat{i}+2 \hat{j}, 4 \hat{j} \) and \( \hat{j}+3 \hat{k} . \) Then the
volume is:
A . 1
B. 12
\( c \cdot 15 \)
D. 28
| 3 |
Physics
|
The energy of an electron in second Bohr
orbit of hydrogen atom is:
A. \( -5.44 \times 10^{-19} \) ev
B . - 5.44 \( \times 10^{-19} \) cal
c. \( -5.44 \times 10^{-19} \mathrm{kJ} \)
D. - \( -5.44 \times 10^{-19} \) 」
| 1 |
Chemistry
|
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