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Two point charges \( q_{1} \) and \( q_{2} \) are placed as shown. Resultant electric field origin is along -y-axis, \( \left(\frac{\boldsymbol{q}_{1}}{\boldsymbol{q}_{2}}\right) \) equals to:
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( \frac{1}{2 \sqrt{2}} \)
\( c \cdot \sqrt{2} \)
\( D \) | 3 | Physics |
\( P \) and \( Q \) are two elements which form
\( P_{2} Q_{3} \) and \( P Q_{2} . \) If 0.15 mole of \( P_{2} Q_{3} \)
weight \( 15.9 \mathrm{g} \) and 0.15 mole of \( P Q_{2} \) weight 9.3 g. what are atomic weights of
\( P \) and \( Q ? \)
\( A \cdot 18 \) and 26
B. 26 and 26
c. 26 and 18
D. 18 and 18 | 3 | Physics |
Find the equation of the plane bisecting the line segment joining the points
(-3,-2,1) and (1,6,-5)
perpendicularly. | 2 | Maths |
The force exerted on a current-carrying wire placed in a magnetic field is zero when the angle between the wire and the direction of magnetic field is.
A \( .180^{\circ} \)
B. \( 90^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 15^{\circ} \) | 3 | Physics |
Which of the following is neutral?
A. \( N_{2} O_{5} \)
в. \( N_{2} O_{3} \)
c. \( N_{2} O_{4} \)
D. \( N_{2} \), | 1 | Chemistry |
In the figure, ABCDEF is a regular hexagon, and its centre is point 0. What
is the value of \( x ? \)
A \( \cdot 80^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 40^{\circ} \)
\( D .30 \) | 2 | Maths |
Two moles of an ideal monoatomic gas,
initially at pressure \( P_{1} \) and volume \( V_{1} \) undergo an adiabatic compression
until its volume is \( V_{2} . \) Then the gas is
given heat \( Q \) at constant volume \( V_{2} \) Find the total work done by the gas, the total change in its internal energy and the final temperature of the gas.[Give
your answers in terms of \( \boldsymbol{P}_{1}, \boldsymbol{V}_{1}, \boldsymbol{V}_{2} \mathrm{Q} \)
and \( \mathrm{R}] \)
A. \( \frac{P_{1} V_{1}^{5 / 3} V_{2}^{-2 / 3}}{2 R}+\frac{Q}{3 R} \)
в.
(ii) \( \frac{P_{1} V_{1}^{5 / 3} V_{2}^{-2 / 3}}{2 R}+\frac{Q}{4 R} \)
\( ^{\mathrm{C}} \cdot \frac{P_{1} V_{1}^{5 / 3} V_{2}^{-2 / 3}}{2 R}+\frac{Q}{5 R} \)
D. \( \frac{P_{1} V_{1}^{5 / 3} v_{2}^{-2 / 3}}{5 R}+\frac{Q}{3 R} \) | 3 | Physics |
Wavelength of the de-Broglie wave of an electron revolving in the sixth orbit of
the hydrogen atom is: \( \left(r_{0} \) is the Bohr's \right. radius \( =0.529 A \)
A \( \cdot \pi r_{0} \)
В. \( 12 \pi r_{0} \)
\( c \cdot 6 \pi r_{0} \)
D. \( 4 \pi r_{0} \) | 1 | Chemistry |
The ray of light which falls on a mirror is called-
A. Reflected ray
B. Emergent ray
c. Incident ray
D. Transmitted ray | 3 | Physics |
Lymph is colourless because
A. WBC are absent
B. WBC are present
C. Platelet is absent
D. \( R B C \) are absent | 0 | Biology |
A coil carrying current behaves as a/an
A. magnet
B. motor
c. dynamo
D. electric dipole | 3 | Physics |
Which one of the following is an example of homogeneous catalysis?
A. Haber's process of synthesis of ammonia
B. catalytic conversion of \( S O_{2} \) to \( S O_{2} \) in contact process
c. catalytic hydrogenation of oils
D. Acid hydrolysis of methyl acetate | 1 | Chemistry |
Find the area of the figure contained
between the parabola \( x^{2}=4 y \) and the
curve \( \boldsymbol{y}=\frac{\boldsymbol{8}}{\boldsymbol{x}^{2}+\boldsymbol{4}} \) | 2 | Maths |
Two intersecting straight lines move
with speeds \( 3 m / s \) and \( 4 m / s \) parallel to themself. If angle between the lines is
\( 90^{\circ} \) then speed of intersection point is
A. \( 5 m / s \)
B. \( 3 m / s \)
c. \( 4 m / s \)
D. None | 3 | Physics |
Covalent compounds are.........conductors of electricity
A. heavy
B. poor
c. can't be said
D. partial | 1 | Chemistry |
If a diamagnetic substance is brought near north and south pole of a bar
magnet, it is
A. attracted by poles
B. repelled by poles
c. replaced by north pole and attracted by south pole
D. attracted by north pole and repelled by south pole | 3 | Physics |
Set up an equation of a tangent to the graph of the following function. \( y=4 x-x^{2} \) at the points of its
intersections with the \( 0 x \) axis. | 2 | Maths |
A spring balance is calibrated at sea
level. If this balance is used to measure
the weight of a body at successive increasing heights from the surface of the earth, then the weight indicated by spring balance will
A. decrease continuously
B. increase continuously
c. first decrease, then increase
D. remains constant | 3 | Physics |
Match the following:
Quantity Formula
x linked a coil
1) Magnetic c flux with
a) \( -N \frac{d \phi}{d t} \)
2)
Induced emf
b) \( \mu_{r} \mu_{0} n_{1} n_{2} \pi r_{1}^{2} l \)
3) Force on a charged particle
\( \cdots \) moving in a electric and
c) \( B A \cos \theta \)
magnetic field
\( f a \) 4) Mutual inductance of
solenoid d)
\[
q(\bar{E}+\bar{v} \times \bar{B})
\]
\( A \cdot 1-c, 2-d, 3-b, 4-a \)
B. \( 1-c, 2-a, 3-d, 4-b \)
\( \mathbf{C} \cdot 1-\mathbf{b}, 2-\mathbf{a}, \mathbf{3}-\mathbf{c}, \mathbf{4}-\mathbf{d} \)
D. \( 1-a, 2-b, 3-d, 4-c \) | 3 | Physics |
Rain is falling vertically with \( 3 m s^{-1} \) and a man is moving due North with \( 4 m s^{-1} . \) In which direction he should
hold the umbrella to protect himself from rains?
A \( \cdot 37^{\circ} \) North of vertical
B. \( 37^{\circ} \) South of vertical
C. \( 53^{\circ} \) North of vertical
D. \( 53^{\circ} \) South of vertical | 3 | Physics |
Two electric charges of \( 9 \mu C \) and \( -3 \mu C \) are placed \( 0.16 \mathrm{m} \) apart in air. There are two points \( A \) and \( B \) on the line joining the two charges at distances of (i) \( 0.04 m \) from \( -3 \mu C \) and in between the charges
and
(ii) \( 0.08 m \) from \( -3 \mu C \) and out side
the two charges. The potentials at \( A \) and
B are :
A. \( 0 V, 5 V \)
в. \( 0 V, 0 V \)
c. \( 5 V, 0 V \)
D. \( 5 V, 10 V \) | 3 | Physics |
Using equipartition of energy, the specific heat \( \left(\operatorname{in} J k g^{-1} K^{-1}\right) \) of aluminium at high temperature can be estimated to be (atomic weight of aluminium \( =27) \)
A . 25
B. 1850
\( c \cdot 410 \)
D. 923 | 3 | Physics |
Three numbers are chosen at random
withoutreplacement from the set of integers \( 1,2,3, \ldots .10 . \) The probability that the minimum of thechosen
numbers is 3 or the maximum of
thechosen numbers is \( 7, \) is equal to
A . \( 23 / 120 \)
B. \( 13 / 120 \)
c. \( 13 / 60 \)
D. \( 11 / 40 \) | 2 | Maths |
1 parsec equals to:
\( \mathbf{A} \cdot 3.26 \) light years
B . \( 3.1 \times 10^{13} \mathrm{km} \)
C \( .1 .92 \times 10^{13} \) miles
D. all of the above | 3 | Physics |
Assertion(A): The possibility of an electric bulb fusing is higher at the time of switching on and off
Reason(R): Inductive effects produce a large current at the time of switch-on
and switch-off.
A. Both A and R are individually true and R is the correct explanation of A
B. Both A and R are individually true but R is not the correct explanation of \( A \)
c. A is true but R is false
D. Both A and R are false | 3 | Physics |
If in triangle \( \boldsymbol{X} \boldsymbol{Y} \boldsymbol{Z}, \boldsymbol{X} \boldsymbol{Y}=\boldsymbol{X} \boldsymbol{Z} \) and
\( M, N \) are the mid points of \( X Y, Y Z \) then which one of the following is correct?
\( \mathbf{A} \cdot M N=Y Z \)
в. \( N Y=N Z=M N \)
c. \( M X=M Y=N Y \)
D. \( M N=M X=M Y \) | 2 | Maths |
An urn contains five balls alike in every respect save colour. If three of these
balls are white and two are black and
we draw two balls at random from this
urn without replacing them. If A is the event that the first ball drawn is white and \( \mathrm{B} \) the event that the second ball
drawn is black, are \( A \) and \( B \)
independent? If \( A \) and \( B \) are independent then enter 1 , else enter 0 . | 2 | Maths |
The difference between an exterior
angle of \( (n-1) \) sided regular polygon and an exterior angle of \( (n+2) \) sided regular
polygon is \( 6^{\circ} . \) Find the value of \( n \)
\( A \cdot 13 \)
B. 12
\( c \cdot 16 \)
D. 18 | 2 | Maths |
Which of the following has only one subset?
A \( \cdot\{0,1\} \)
B . \{1\}
\( c \cdot\{0\} \)
\( D \cdot\{\} \) | 2 | Maths |
Show that the minimum size of a plane
mirror required to see the full image of
an observer is half the size of that
observer. | 3 | Physics |
Bacterium, Escherichia coli have flagella around the periphery of the cell. This condition is known as
A. Peritrichate
B. Monotrichat
c. Lophotrichate
D. Amphitrichate | 0 | Biology |
In an eleventh storey building 9 people enter a lift cabin. It is known that they will leave the lift in group of 2,3 and 4 at different residential storey. Find the number of ways in which they can get down | 2 | Maths |
The median of 21 observations is \( 18 . \) If
two observations 15 and 24 are
included to the observations, then the median of new series is
A . 15
B . 18
\( c \cdot 24 \)
D. 16 | 2 | Maths |
For most of the cities water is drawn
from
A. Rivers
B. Lakes
c. Ponds or wells
D. All of the above. | 0 | Biology |
An Earth's satellite is moving in a circular orbit with a uniform speed \( \boldsymbol{v} \). If
the gravitational force of the Earth suddenly disappears, the satellite will
A. vanish into outer space
B. continue to move with velocity \( v \) in original orbit
c. fall down with increasing velocity.
D. fly off tangentially from the orbit with velocity \( v \) | 3 | Physics |
State whether true or false:
Cutting a log of wood into pieces is a chemical change.
A. True
B. False | 1 | Chemistry |
Solve :
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\left(\boldsymbol{1}+\boldsymbol{x}^{2}\right)\left(\boldsymbol{1}+\boldsymbol{y}^{2}\right) \) | 2 | Maths |
Expand each of the following, using suitable identities:
\( (3 a-7 b-c)^{2} \) | 2 | Maths |
At certain temperature, \( 1.6 \% \) solution of an unknown substance is isotonic with
\( 2.4 \% \) solution of urea. If both the
solutions have the same solvent and
both the solution have same density \( 1 g m / c m^{3}, \) what will be the molecular mass of unknown substance in
\( \boldsymbol{g} \boldsymbol{m} / \boldsymbol{m} \boldsymbol{o l} \)
(Molecular mass of urea 60 gm / mol)
A. 30
B. 40
c. 80
D. 90 | 1 | Chemistry |
The S.I unit of mass is
A. kilogram
B. gram
c. decigram
D. milligram | 1 | Chemistry |
The masses of the three wires of copper
are in the ratio \( 1: 3: 5 . \) And their
lengths are in the ratio \( 5: 3: 1 . \) The
ratio of their electrical resistance is
A. 1: 3: 5
B. 5: 3: 1
c. 1: 15: 125
D. 125: 15: 1 | 3 | Physics |
\( A D, B E \) and \( C F \) are the altitudes of a
triangle \( A B C \) whose vertex \( A \) is the
point \( (-4,5) . \) The coordinates of the points \( D, E, F \) are respectively \( \left(\frac{16}{5},-\frac{23}{5}\right),(4,1) \) and \( (-1,-4) . \) Find
the equation of the sides of the triangle and the coorindates of the other two
vertices of the triangle. | 2 | Maths |
Assertion
\( \beta \) -particles are deflected less than \( \alpha \) particles in electrical field.
Reason
\( \beta \) -particles have very low mass.
A. \( A \) is correct but \( R \) is wrong
B. \( A \) is wrong but \( R \) is correct
c. Both \( A \) and \( R \) are correct and \( R \) is correct explanation of \( A \)
D. Both \( A \) and \( R \) are correct but \( R \) is not correct explanation of \( A \) | 1 | Chemistry |
A person wearing a wrist watch that
keeps correct time at the equator goes to N-pole. His watch will
A. Keep correct time
B. gain time
c. loose time
D. cannot say | 3 | Physics |
If a \( 0.1 \mathrm{M} \) solution of \( \mathrm{HCN} \) is \( 0.01 \% \)
ionised, the ionisation constant for
\( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \) is:
A \( \cdot 10^{-9} \)
B. \( 10^{-7} \)
\( c \cdot 10^{-5} \)
D. \( 10^{-3} \) | 1 | Chemistry |
Write down all possible factors of \( 3 x^{2} y \) | 2 | Maths |
Find a particular solution of the differential equation \( \frac{d y}{d x}+y \cot x= \) \( 4 x \operatorname{cosec} x(x \neq 0), \) given that \( y=0 \)
when \( \boldsymbol{x}=\frac{\boldsymbol{\pi}}{\boldsymbol{2}} \) | 2 | Maths |
The factor which is not affecting the
conductivity of any solution is
A. temperature
B. dilution
c. nature of electrolyte
D. none of the above | 1 | Chemistry |
A vertical circular coil of radius \( 0.1 m \)
and having 10 turns carries a steady current. When the plane of the coil is normal to the magnetic meridian, a neutral point is observed at the centre
of the coil. If \( \boldsymbol{B}_{\boldsymbol{H}}=\mathbf{0 . 3 1 4} \times \mathbf{1 0}^{-\mathbf{4}} \boldsymbol{T} \)
the current in the coil is :
\( \mathbf{A} \cdot 0.5 A \)
B. 0.25 A
\( c \cdot 2 A \)
D. \( 1 A \) | 3 | Physics |
The main cause of Zener breakdown is
A. the base semiconductor being germanium.
B. production of electron-hole pairs due to thermal excitation.
C . low doping.
D. high doping. | 3 | Physics |
Find the equation of the ellipse whose
foci are \( (\mathbf{0}, \pm \mathbf{6}) \) and length of the minor
axis is 22 | 2 | Maths |
State some characteristics of magnetic
field due to a Current through a Straight Conductor. | 3 | Physics |
Lead obtained from galena ore (PbS) by
air reduction or carbon reduction
process contains base metal (Cu, Bi, As, Sn, \( Z n \) ) as impurities. Gelatin acts as an addition agent in the electrolysis of
Pb. In the presence of gelatin, Pb becomes:
A. hard and brittle
B. soft and rubbery
c. smooth and uniform
D. only brittle | 1 | Chemistry |
The path of a ray of light passing
through a glass prism is shown below:
In this diagram the angle of prism, angle of incidence, angle of emergence and angle of deviation respectively have
been represented by:
A. \( 0, Y, Z \) and \( N \)
B. P, Y, M and Z,
c. \( 0, x, M \) and \( z \)
D. \( P, X, Z \) and \( N \) | 3 | Physics |
Find the value of \( p: \)
\( (p-3)(p+3)-p(p+8)=15 \)
\( \mathbf{A} \cdot \mathbf{3} \)
B. -3
c. \( \frac{-1}{3} \)
D. | 2 | Maths |
Explain the function of the coronary
artery | 0 | Biology |
Bullets of mass \( 10 g \) each are fired from
a machine gun at a rate of 6 bullets/minute. The muzzle velocity of
bullets is \( 100 \mathrm{m} / \mathrm{s} \). The thrust force (in
N) due to firing bullets experienced by the person holding the gun stationary is
\( 10^{-x} . \) Find \( x \) | 3 | Physics |
The value of \( \sin ^{-1}(\sin 2) \) is?
A \( .2+n \pi \)
B. \( 2-\pi \)
\( c \cdot-2+\pi \)
D. \( 2-2 n \pi \) | 2 | Maths |
Write the name of the following cations. \( N O_{2}^{+}, N O^{+}, H_{3} O^{+}, N H_{4}^{+}, N_{2} H_{5}^{+}, C_{6} H \) | 1 | Chemistry |
Write structure of Butane \( 1,4- \) dial. | 1 | Chemistry |
The \( p H \) of three solutions \( A, B, C \) is 6 4, 8 receptivity which of the following is the correct option?
A. \( A>B>C \) decreasing acidic strength
B. \( C>B>A \) increasing acidic strength
c. \( B>A>C \) is decreasing acidic strength
D. \( C>B>A \) decreasing acidic strength | 1 | Chemistry |
A coil is used in a circuit in which an
A.C. of frequency \( 50 \mathrm{Hz} \) is flowing. The self-inductance of the coil, in order to
produce an impedance of \( 100 \Omega, \) will be
\( H \)
A . \( \pi \)
B.
c. \( \pi^{2} \)
D. \( \frac{1}{\pi^{2}} \) | 3 | Physics |
Fig. shows a brick of weight 2 kgf and
dimensions \( 20 \mathrm{cm} \times 10 \times \mathrm{cm} \times 5 \mathrm{cm} \)
placed in three different positions on
the ground. Find the pressure exerted by the brick in each case. | 3 | Physics |
A fruit (mass \( =50 g \) ) falls from a tree
because of gravitational attraction between the earth and the fruit. Which
of the following statements is true if \( x \) is the force exerted by the earth on the fruit and \( y \) is the force exerted by the fruit on the earth?
A. x is much greater than y
B. \( x \) and y are equal
c. y is greater than \( x \)
D. y is equal to zero | 3 | Physics |
The tension, length, diameter and density of a string \( \mathrm{B} \) are double than that of another string A. Which of the following overtones of B is same as the fundamental frequency of A?
A . \( 1 s \)
B. 2nd
\( c .3 r d \)
D. 4 th | 3 | Physics |
What are sex hormones? Why are they
named so? State their function | 0 | Biology |
For a non-ideal solution exhibiting positive deviation from Raoult's law,
\( \Delta_{m i x} H \) has a
(nonzero)
A. positive
B. negative
c. zero
D. none | 1 | Chemistry |
If a body is executing simple harmonic motion and its current displacement is \( \frac{\sqrt{3}}{2} \) times the amplitude from its mean position, then the ratio between potential energy and kinetic energy is:
A . 3: 2
B. 2: 3
c. \( \sqrt{3}: 2 \)
D. 3: 1 | 3 | Physics |
The volume of a cylindrical toy is 628
\( c m^{3} . \) The radius of its base is \( 10 \mathrm{cm} \)
Find the height of the toy. \( (\pi=3.14) \) | 2 | Maths |
The diamagnetic species is:
A . \( N O \)
в. \( N O_{2} \)
\( c \cdot O_{2} \)
\( D \cdot C O_{2} \) | 1 | Chemistry |
Assertion
An emulsion becomes stable if soap is
added to it.
Reason
Soap contains hydrophobic and hydrophilic parts.
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 is correct | 1 | Chemistry |
Write three conclusion made by
Rutherford on the basis of alpha
particle scattering experiment. | 3 | Physics |
Sudhir brought an almirah for
Rs. 13600 and spent \( R s .400 \) on its
transportation. He sold it for \( \boldsymbol{R} \boldsymbol{s} \). \( \mathbf{1 6} \boldsymbol{8} \mathbf{0 0} \)
Find his gain percent. | 2 | Maths |
Find the area of the following
parallelogram | 2 | Maths |
Dipole moment is shown by:
This question has multiple correct options
A. 1,4 -dichloro benzene
B. cis-1, 2-dichloro ethene
C. trans-1, 2-dichloro ethene
D. trans-1, 2-dichloro-2-pentene | 1 | Chemistry |
How much will a bar of aluminium
\( 100 \mathrm{cm} \) long, expand when heated from
\( 20^{\circ} C \) to \( 100^{\circ} C ? \) Coefficient of linear
expansion of aluminium is \( 2.5 \times \) \( 10^{-5} C^{-1} \) | 3 | Physics |
is used for making
parachutes and stockings.
A. cotton
B. Nylon
c. wool
D. Bakelite | 1 | Chemistry |
Rate limiting step in glycolysis is
A. Glucose to glucose 6 -phosphate
B. Fructose 6- phosphate to fructose 1,6-diphosphate
C. Glyceraldehydde -3 phosphate to 3-phosphoglyceric acid
D. Both A and B | 0 | Biology |
A wire is wound on a long rod of
material of relative permeability \( \mu_{r}= \)
4000 to make a solenoid. If the current
through the wire is \( 5 A \) and number of
turns per length is 1000 per meter, then the magnetic field inside the solenoid is:
A. \( 25.12 \mathrm{mT} \)
B. \( 12.56 \mathrm{mT} \)
c. \( 12.56 T \)
D. 25.12 T | 3 | Physics |
The second stage of hydrosere is occupied by plants like
A. Typha
B. Salix
c. vallisneria
D. Azolla | 0 | Biology |
Consider two nuclei of the same
radioactive nuclide. One of the nuclei
was created in a supernova explosion 5 billion years ago. The probability of decay during the next time is.
A. Different for each nuclei
B. Nuclei created in explosion decays first
c. Nuclei created in the reactor decays first
D. Independent of the time of creation | 3 | Physics |
The ratio of the difference in energy of
electron between the first and second
Bohr's orbits to that between second
and third Bohr's orbits is :
A. \( 1 / 3 \)
в. 27/5
\( c \cdot 9 / 4 \)
D. \( 4 / 9 \) | 1 | Chemistry |
The longest side of a triangle is 3 times the shortest side and the third side is 2
\( \mathrm{cm} \) shorter than the longest side. If the
perimeter of the triangle is at least 61 \( \mathrm{cm}, \) find the minimum length in cm. of
the shortest side. | 2 | Maths |
The reaction of \( \boldsymbol{C H}_{3} \boldsymbol{O C}_{2} \boldsymbol{H}_{5} \) with \( \boldsymbol{H} \boldsymbol{I} \)
gives:
\( \mathbf{A} \cdot C H_{3} I \)
в. \( C_{2} H_{5} O H \)
c. \( C H_{3} I+C_{2} H_{5} O H \)
D. \( C_{2} H_{5} I+C H_{3} O H \) | 1 | Chemistry |
The number of particles crossing unit area perpendicular to X-axis in unit time is given by \( \frac{D\left(n_{2}-n_{1}\right)}{\left(x_{2}-x_{1}\right)} \) where
\( n_{1} \) and \( n_{2} \) are number of particle per
unit volume respectively at and \( x_{2} \) The dimension of the diffusion constant \( D \)
are
\( \mathbf{A} \cdot\left[L T^{-1}\right] \)
в. \( \left[L^{2} T^{-1}\right] \)
c. [LT]
D. \( \left[L^{-1} T\right] \) | 3 | Physics |
Centre of gravity of a rectangle will be at its:
A. Centre
B. At its periphery
c. Intersection of its diagonal
D. None | 3 | Physics |
STATEMENT-1: At two different points on
the same stream line in streamline flow
velocity of a particle may be different. STATEMENT-2: Pressure and height may be different at two different points on a
streamline.
A. Statement-1 is True, Statement-2 is True; Statementis a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statementis NOT a correct explanation for Statement-
c. Statement- 1 is True, Statement- 2 is False
D. Statement-1 is False, Statement-2 is True | 3 | Physics |
Let \( f(x)=x^{3} e^{-3 x}, x>0 . \) Then the
maximum value of \( f(x) \) is
A \( \cdot e^{-3} \)
B. \( 3 e^{-3} \)
\( \mathbf{c} \cdot 27 e^{-9} \)
D. \( \infty \) | 2 | Maths |
State the function of bile. | 0 | Biology |
The energy of the second Bohr orbit of hydrogen atom is - 3.41 eV. The energy of
the second orbit of \( \boldsymbol{H} \boldsymbol{e}^{+} \) would be:
A . - \( 0.85 \mathrm{ev} \)
B . -13.6ev
c. -1.70ev
D. - \( 6.82 \mathrm{eV} \) | 1 | Chemistry |
A long straight cable of length I is placed symmetrically along z-axis and has radius \( a(<<l) \). the cable consists
of a thin wire and co-axial conducting tube. An alternating current I(t) =
\( I_{0} \sin (2 \pi \nu t) \) flows down the central
thin wire and returns along the co-axial
conducting tube. The induced electric field at a distance s from the wire inside
the cable is \( E(s, t)= \) \( \mu_{0} I_{0} \cos (2 \pi \nu t) \ln \left(\frac{s}{a}\right) \hat{k} ., \) the ratio of
conduction current and displacement
current is
A \( \cdot\left(\frac{a \pi}{\pi}\right)^{2} \)
B \cdot \( \left(\frac{a \pi}{\lambda}\right) \)
\( ^{c} \cdot\left(\frac{\lambda}{a \pi}\right)^{2} \)
D \( \cdot\left(\frac{\lambda}{a \pi}\right) \) | 3 | Physics |
A compound with molecular weight
equal to 72 g/mol gives a single monochloride and two dichloride on
photochlorination. The hydrocarbon which is consistent with the given
information is \( 2,2- \) dimethylpropane.
State whether the given statement is correct or not. | 1 | Chemistry |
The order and degree of the differentia
equation \( \left[1+\left(\frac{d y}{d x}\right)^{2}+\sin \left(\frac{d y}{d x}\right)\right]^{3 / 4}=\frac{d^{2} y}{d x^{2}} \)
are:
A. order \( =2 ; \) degree \( =3 \)
B. order= \( 2 ; \) degree \( =4 \)
\( ^{\mathrm{c}} \cdot_{\mathrm{order}=} 2 ; \) degree \( =\frac{3}{4} \)
D. order= \( 2 ; \) degree \( = \) not defined | 2 | Maths |
Compound \( \quad \Delta \boldsymbol{H}_{t}(\boldsymbol{k} c a l / \boldsymbol{m o l}) \) \( H_{2} O(g) \) \( C_{2} H_{4}(g) \) 5
\( C O_{2}(g) \) -94.1
What is the heat of combustion of
one mole of \( \boldsymbol{C}_{2} \boldsymbol{H}_{4} \) ?
A . \( +316.3 \mathrm{kcal} \)
B . -12.5 kcall
c. -291.3 kcal
D. - 374.1 kcal
E . \( -57.8 \mathrm{kcal} \) | 1 | Chemistry |
Sound of frequency 1000 Hz from a stationary source is reflected from an object approaching the source at 30 \( \mathrm{m} / \mathrm{s}, \) back to a stationary observer located at the source. The speed of sound in air is \( 330 \mathrm{m} / \mathrm{s} \). The frequency
of the sound heard by the observer is
A . \( 1200 \mathrm{Hz} \)
в. 1000нz
c. 1090 н \( z \)
D. 1100нz | 3 | Physics |
Which of the following Newton's law(s) is/are not applicable in non-inertial reference frame.
A. Newton's first law
B. Newton's second law
c. Newton's third law
D. All of these | 3 | Physics |
Phosphide and phosphate ions are:
\( \mathbf{A} \cdot P O_{4}^{3-} \) and \( P^{3-} \)
B. \( P^{3-} \) and \( P O_{4}^{3-} \)
\( \mathrm{C} \cdot P O_{3}^{4-} \) and \( P^{4-} \)
D. \( P^{4-} \) and \( P O_{3}^{4-} \) | 1 | Chemistry |
Indicate the correct statements.
This question has multiple correct options
A. Conductivity cells have cell constant values independent of the solution filled into the cell
B. DC (direct current) is not used for measuring the resistance of a solution
C. Kohlrausch law is valid both for strong and weak electrolytes
D. The k decreases but \( \lambda_{M} \) and \( \lambda_{E} \) increase on dilution | 1 | Chemistry |
A moving coil galvanometer has 48 turns and area of coil is \( 4 \times 10^{-2} m^{2} . \) If
the magnetic field is \( 0.2 T, \) then to increase the current sensitivity by \( 25 \% \) without changing area (A) and field (B) the number of turns should become:
A . 24
B. 36
\( c \cdot 60 \)
\( D \cdot 54 \) | 3 | Physics |
If in Young's double slit experiment, the
distance between the two slits is halved
and the distance between the slit and
screen id doubled, then the fringe width will become
A . half
B. double
c. four times
D. unchanged | 3 | Physics |
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