Question # 1

When two waves with same frequency and constant phase difference phase difference interfere

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There is a gain of energy

There is a loss of energy

The energy is redistributed and the distribution changes with time

The energy is redistributed and the distribution remains constant with time

If F=0.04 N and X=4 cm then K=

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1 Nm^-1

2 Nm^-1

3 Nm^-1

4 Nm^-1

Swimming becomes possible because of______law of motion:

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First

Second

Third

None of these

The distance travelled byα-particle in a medium before coming to rest, is called

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range ofγ-particle

range of neutrons

range of particle

none of these

When the charged particle is projected at right angles to the field, then experienced by it will be:

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Maximum

Zero

qvB

Both (A) and (B)

Both (A) and (C)

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5μF

10μF

3μF

6μF

The chemical properties of all the isotopes of an elements are

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same

different

slightly different

none of these

A body moving along the circumference of a circle of radius R completes one revolution. The radius of a covered path to the angle subtended at the centre is:

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Radius of the circle

Twice the radius

Thrice the radius

None of these

Absolute motion cannot be detected

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in its own frame of references

in a different frame of references

both in its frame and different frame of references

none of these

A tube is tapered from 20 cm diameter to 2 cm diameter, the velocity at the first cross-section is 50 cm/s, then the velocity at the second cross-section is

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50 m/s

20 m/s

40 cm/s

5 cm/s

Work done along a closed path in a gravitational field is:

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Maximum

Minimum

Zero

Unity

Swimming is based on the principle of

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Newton's 1st law

Newton's 2nd law

Newton's 3rd law

All

When an oscillatory motion repeats itself, then this type of motion is called

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vibratory motion

constant motion

fixed motion

periodic motion

In order to have a constant current through wire, the potential difference across its end should:

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Be zero

Be maintained constant

Goes on increasing

Go on decreasing

Both (A) and (B)

The average value of current and voltage over a cycle is

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Positive

Negative

Zero

May be positive or negative

The square of 0.4 is:

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Greater than 0.4

Smaller than 0.4

Equal to 0.4

None of them

Silicon can be obtained from:

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Lead

Uranium

An isotope of oxygen

Sand

If both the inputs given to a gate ae 1 such that the output is 0, then it is:

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AND gate

NOR gate

OR gate

NOT gate

Both (A) and (C)

Which one of the following relations is correct?

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1 Wb-m²= Nm^-1A^-1

1 tesla = 104 gausses

1 Wb-m²= 1 tesla

All of the above

The magnitude of the force producing an acceleration of 10 m/sec²in a body of mass 500 grams is:

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3 N

4 N

5 N

6 N

If 2.2 kilowatt power is transmitted through a 10 ohm line at 22000 volt, the power loss in the form of heat will be

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0.1 watt

1 watt

10 watt

100 watt

A body whose momentum is constant must have constant

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Acceleration

Velocity

Force

None of these

To get a resultant displacement of 10 m, two displacement vectors of magnitude 6 m and 8 m should be combined

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Parallel

Antiparallel

At angle 60°

Perpendicular to each other

The body oscillates due to ______ accelerates and overshoots the rest position due to _____:

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Applied force , inertia

Restoring force, friction

Frictional force, inertia

Restoring force, inertia

The equation of continuity is

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A₁A_{2 = V}₁V₂

A_1/_V_{1 =}A_2/V₂

_V_1/A₁₌V_2/A₂

A₁_V_{1 =}A₂V₂

Conventionally the angular velocity is directed at an angle of

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90° to the axis of rotation

30° to the axis of rotation

0° to the axis of rotation

None of the above

Which of the following can become a good temporarily magnet

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iron

steel

both of them

none of them

The magnifier forms a virtual image of the object at:

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Least distance of distinct vision

Much farther than the least distance

Both A and B are correct

None of these

The current is measured in

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volts

watt

ampere

ohm

If an amount of heat enters the system it could

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decrease the internal energy

not change the internal energy

increase the internal energy

none of them

The special theory of relativity treats problems invoving

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inertial frame of references

accelerating frame of references

both of these

none of these

Any superconductor with critical temperature above 77 K, is referred as

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low temperature superconductor

high temperature superconductor

very low temperature superconductor

none of them

Ohm established a relation between

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voltage and resistance

voltage and charge

voltage and current

voltage resistance and charge

When a bicycle is in motion but not pedaled, the force of friction exerted by the ground on the two wheels is such that it acts

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In the backward direction on the front wheel and in the forward direction on the rear wheel

In the forwards directions on the front wheel and in the backward direction on the rear wheel

In the forward direction on both the wheels

In the backward direction on both the wheels

The unit of spring constant is:

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J-sec

Metre

Nm^-1

None of these

Angle between the ray of light and the corresponding wavefront is:

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0°

60°

90°

120°

The waves which propagate through the oscillations of material particles are known as:

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Mechanical waves

Electromagnetic waves

Any of them

None of them

An emf is set up in a conductor when it:

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Is kept in a magnetic field

Is kept in an electric field

Moves across a magnetic field

Both A and B

None of these

The internal pressure of the blood is

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less than the external atmospheric pressure

greater than the external atmospheric pressure

equal to the external atmosphericpressure

none of them

The analysis of the distribution of wavelengths of the radiation emitted from a hot body set the foundation of new mechanics, known as

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classical mechanics

Newtonian mechanics

quantum mechanics

statistical mechanics

The Stephen-Boltzmann law for the black body radiation is given by

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E = T²

E = -T²

E = T⁴

E = -T⁴

Cosine of an angle is positive in:

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2nd quadrant

3rd quadrant

4th quadrant

All of these

The density of blood is nearly equal to that of

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mercury

sodium

water

honey

The system international (SI) is built from _______ kind of unites

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Two

Three

Four

Five

When a shall explodes a mid-air, the total momentum of its fragments is

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less than the momentum of shell

equal to the momentum of shell

greater than the momentum of shell

none of them

Significant figures in 0.0010 are

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Four

Three

Two

One

A structure of polymeric solid is:

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An ordered structure

A disordered structure

Intermediate between order and disorder

Any of these

None of these

If rope of lift breaks suddenly. The tension exerted by the surface of lift is (a=Acceleration of lift)

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mg

m (g+a)

m (g - a)

0

Direction of angular momentum is determined by:

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Right hand rule

Head to tail rule

Left hand rule

None of them

Find the total displacement of a body in 8 seconds starting from rest with an acceleration of 20 cm/s²

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0.064 m

640 cm

64 cm

64 m

Velocity of sound in a diatomic as is 300 m/sec. what is its rms velocity?

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400 m/sec

40 m/sec

430 m/sec

300 m/sec

The formula of Brackett series can be obtained by putting in the general formula, the value of n equal to:

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one

two

three

four

five

The r.m.s. value of alternating current is equal to its maximum value at angle of

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60°

45°

30°

90°

Blood pressure is measured in torr. Which of the following units could belong to torr?

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N m^-1

N m^-2

N m

N^-1m^-2

CRO deflects the beam of

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proton

a-particle

electron

neutron

Electric intensity at a place due to a charged conductor is a

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Scalar quantity

Vector quantity

Semi vector and semi scalar

Dimensionless quantity

Both A and D are true

When resistance of a current carrying wire increases due to rise in temperature, the drift velocity of electrons:

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Decreases

Increases

Remains the constant

Either of these

None of these

In a transistor, if the central region is p-type then this type of transistor is known as

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p-n-p transistor

n-p-n transistor

either of these

none of these

The unit of resistance is

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volt

ampere

ohm

coat

The basic circuit element in A.C. circuits are:

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Resistor and capacitor

Resistor and Inductor

Capacitor only

Both (B) and (C)

None of these

In the above figures, tell which set is graphs shows that a body is moving uniform velocity:

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(i) and (ii)

(ii) and (iii)

(i) and (iii)

(ii) and (iv)

A dimension stands for the ___________ nature of certain physical quantity.

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super

Quantitative

Qualitative

Both B and C

If the acceleration of a body is negative, then slope of the velocity-time graph will be:

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Zero

Positive

Negative

Infinity

The appearance of the colour in the soap (oil) film results from:

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Dispersion

Interference

Reflection

Refraction

Structure of the nucleus was explained by

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J.J Thomson

Bohr

Millikan

Rutherford

Work done is maximum when angle between force and displacement is

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0°

90°

180°

None of these

Average KE of a gas molecule has:

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Direct relation with absolute temperature and inverse relation with pressure

Direction relation with both absolute temperature and pressure

Inverse relation with both absolute temperature and pressure

None of these

A point charge A of charge +4μC and another B of charge -1μC are placed in air at a distance 1 m apart. Then the distance of the point on the line joining the charge B, where the resultant electric field is zero, is (in m)

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2

1

0.5

1.5

Liquids and gasses have

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zero viscosity

non-zero viscosity

very large viscosity

very small viscosity

The energy is found from Einstein's mass energy relation is called

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binding energy of electron

binding energy of proton

binding energy of neutron

binding energy of nucleus

The charge carriers in gases are

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electrons

ions

protons

ions and electrons

Every crystalline solid has

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definite melting point

different melting points

may or may not be definite

none of them

The passage of current is accompanied by a magnetic field in the surrounding space:

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Always accompanied

Sometimes accompanied

Never accompanied

Any of above

None of these

Graphs which are used to illustrate the variation of velocity of an object with time are called

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distance time graphs

speed time graphs

velocity time graphs

acceleration time graphs

Blood has a density

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Equal to water

Greater then water

Lesser then water

None of these

When body moves with increasing acceleration, its velocity time graph is a

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straight line

horizontal straight line

vertical straight line

curve

The interior of a hollow charged metal sphere is a region which:

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Contain some magnitude of electric field

Is full of electric field lines

Is field-free region

Either (A) or (B)

None of these

Crystal of germanium or silicon in its pure form at absolute zero acts as:

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A conductor

A semiconductor

an insulator

Both (A) and (C)

Both (A) and (B)

Position was discovered by Carl Anderson in

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1920

1925

1928

1932

The unit of thermodynamical scale is

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centigrade

fahrenheit

kelvin

none of them

The velocity of a projectile is maximum

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at the point of projection

just before striking the ground

at none of them

at both of them

An object thrown in arbitrary direction in space with an initial velocity and moving freely under gravity will follow

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a circular path

a straight line

a hyperbola

a parabola

The units of modulus of elasticity are

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Nm^-2

Nm

ms^-1

Pascal

A diode which can turn its current ON and OFF in nono seconds is called:

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LED

Photodiode

An ordinary diode.

Both (A) and (B)

Both (B) and (C)

By placing a dielectric in between the charges, the electrostatic force between them

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Is always reduced

Is always increased

Is not affected

Is increased one million times

None of these

No spark plug is needed in

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petrol engine

diesel engine

both of them

none of them

The temperature of gas is produced by

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At potential energy of its molecules

The kinetic energy of its molecules

The attractive force between its molecules

The repulsive force between its molecules

The reverse saturation current in a PN junction diode is only due to

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Majority carriers

Minority Carriers

Acceptor ions

Donor ions

A two Kg block is held 1 m above the floor for 50 seconds, the work done is:

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Zero

10.2 J

100 J

980 J

If the two charges in Coulomb's law have double distance between them, then electric force

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Becomes two-fold

Becomes four-fold

Remains the same

None of these

Work has the dimensions as that of

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Torque

Angular momentum

Linear momentum

Power

If a 40 watt light bulb burns for 2 hours. how much heat is generated

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288 x 10³J

288 x 10⁸J

288 x 10⁵J

288 x 10⁶J

The work performed on an object does not depend on:

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Force applied

Angle at which force is inclined to the displacement

Initial velocity of the object

Displacement

In the formula B= µ̻ nl, the symbol n denotes:

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Total number of turns of solenoid

Number of turns per unit length

Number of turns per unit volume

Numbers of turns per unit area

Number of moles

Pressure exerted by a gas is

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Independent of density of the gas

Inversely proportional to the density of the gas

Directly proportional to the square of the density of the gas

Directly proportional to the density of the gas

An intertial frame of reference is a frame of reference which is

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at rest

moving with uniform velocity

either at rest or moving with uniform velocity

none of these

Electromagnetic -radiation means:

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Photons

protons

Electrons

Mesons

None of these

When a position comes close to an electron they annihilate into

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one photon

two photons which travel in the same direction

two photons which travels in the opposite direction

two photons which travel in any direction

The domains are of macroscopic size of the order of

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centimeters

meters

millimeters

nanomneters

Which of the following is not an assumption of kinetic energy

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a finite volume of gas consists of very large number of molecules

the gas molecules are in random motion

collision between the gas molecules are inelastic

the size of the gas molecules is much smaller than the separation between molecules

In a cubic crystal, All solids meet at:

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60^o

90^o

109^o

30^o

10^o

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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2x

2

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

Choose an answer

none of these

Choose an answer

If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

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√5

√7

-1-2i

√3

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

Multiplicative inverse of "1" is

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0

±1

1

{0,1}

Choose an answer

Improper rational fraction

Rational fraction

Proper rational fraction

None of above

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

If | x | < 1, then the first two terms of (1 - x)^1/2are

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Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

Choose an answer

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Choose an answer

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

Choose an answer

Any horizontal line divided the plane into

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Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

Choose an answer

Additive property of inequality

Commutative property

Additive inverse

Additive identity

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

Choose an answer

Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

Choose an answer

R/[0,4]

R/(0,4)

(0,4)

[0,4]

The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is

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A parabola

A circle

An ellipse

A st. line

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

The multiplicative inverse of 0 is

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1

-1

0

Does not exist

Domain of tan x is ______

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Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

The number of different ways of describing a set is

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One

Two

Three

Four

The set of rational numbers is subset of

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The set of natural numbers

The set of real numbers

The set of integers

The set of whole numbers

The radius of the circle 2x²+ 2y²- 4x + 12 y+11=0 is:

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√4.5

√11

√29

√15

Choose an answer

The equation of the chord of the circle x²+ y²- 4x = 0 whose mid-point is (1, 0) is

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y = 2

y = 1

x = 2

x = 1

Range of y = sec x is

Choose an answer

-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

Choose an answer

I3

rI3

r

none

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

Choose an answer

5

15

10

20

(7,9) +(3,-5) =

Choose an answer

(4,4)

(10,4)

(9,-5)

(7,3)

Which of the following is a scalar.

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electric field

magnetic field

weight

mass

If a is any real number and a = a is called

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symmetric property

Trichotomy Properties

Transitive Property

Reflexive Properties

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

tan(2π+θ) = ________;

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tanθ

-tanθ

cotθ

-cotθ

√25 is a number

Choose an answer

Rational

Irrational

Natural

Odd

Choose an answer

Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

Choose an answer

sec 5x + c

- sec 5x + c

The slope of x-axis is

Choose an answer

0

undefined

1

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

Choose an answer

x = ________ is in the solution of 2x - 5 > 0

Choose an answer

0

2

-2

3

The series obtained by adding the terms of an arithmetic sequence is called the

Choose an answer

Infinite series

Harmonic series

Geometric series

Arithmetic series

Choose an answer

none of these

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

Choose an answer

Square

Parallelogram

Rectangle

Rhombus

Choose an answer

20

10

0

None of these

Choose an answer

The sum of all 2 digit number is

Choose an answer

4750

3776

4895

4905

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

Choose an answer

π/2

-3π/2

π

None of these

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

Choose an answer

1

5

-5

-1

The coefficient of xn in the expansion of (1-x)-1 is

Choose an answer

(-1)n2n

1

(-1)n(n+1)

(n+1)

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is