Question # 1

Tick the conservation force:

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Tension in a string

Air resistance string

Elastic spring force

Frictional force

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

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Maximum

Minimum

Zero

Unity

The pointer of a magnetic compass:

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Is affected only by permanent magnets

Align itself parallel to the applied magnetic field

Vibrates in the magnetic field of the current

Aligns itself perpendicular to the magnetic field

Both (C) and (D)

Electromagnetic radiation or photons interact with matter in

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two distinct ways

three distinct ways

four distinct ways

five distinct ways

The power dissipation in a pure inductive or capacitance circuit is

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maximum

positive

zero

none

When the object lies between F and 2F, the image formed by is formed at:

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Real

Virtual

Diminished

Erect

Circular motion is an example of motion in:

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One dimension

Two dimensions

Three dimensions

None of these

The principle of superposition states that

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The total displacement due to several waves is the sum of the displacement due to those waves acting individually

Two stationary waves superimpose to give two progressive waves

A diffraction pattern consists of many interference patterns superimposed on one another

Two progressive waves superimpose to give a stationary wave

To sources are said to be coherent if they have:

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Same amplitude

Same wavelength

Definite phase relation with each other

None of them

A car battery has e.m.f 12 volt and internal resistance 5 x 10^-2ohm. If it draws 60 ampere current, the terminal voltage of the battery will be

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5 volt

3 volt

15 volt

9 volt

There is a regular arrangement of molecules in a

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amorphous solids

polymeric solids

crystalline solids

none of them

By which velocity a ball be projected vertically so that the distance covered by it in 5th seconds is twice the distance it covers in its 6th second ( g=10m/s²)

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58.8 m/s

49 m/s

65 m/s

19.6 m/s

The mechanics, which deals with the objects moving with velocities approaching that of light is called:

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Relativistic mechanics

Wave mechanic

Quantum mechanics

Statics

The rate change of area expressed is expressed in:

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m²s^-1

ms^-2

m²s^-2

ms^-1

None of these

According to the special theory of relativity

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mass and energy are same entities

mass and energy are same entities but interconverible

mass and energy are different entities but interconverible

mass and energy are different entities but non-interconveritble

It is customary represent a current flowing towards the reader by a symbol

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(x)

(+)

(.)

(-)

(÷)

If the vector 5 N lies along with x-axis, then its component along y-axis will be:

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Zero

5 N

7 N

10 N

The device which allows only the flow of an A.C. through a circuit is

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Capacitor

Inductor

D.C. motor

Battery

An amount of water of mass 20 g at 0°C is mixed with 40 g of water at 10°C. Final temperature of mixture is

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-20°C

6.67°C

5°C

0°C

The ratio of energy E to the corresponding frequency (f) of the radiation (emitted or absorbed) is called:

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Wien's constant

Stefen's constnat

Planck's constant

Boltzmann's constant

None of these

A rotating body tends to be slower, when its angular acceleration is:

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Positive

Negative

Zero

Infinity

As the light shines on the metal surface, the electrons are ejected

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slowly

instantaneously

either of these

none of these

Laws of motion are not valid in a system which is

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inertial

non-interial

at rest

moving with uniform velocity

The excess (equal in number) of electrons that must be placed on each of two small spheres spaced 3 cm apart, with force of repulsion between the spheres to be 10^-19N, is

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25

225

625

1250

The mass of fluid passing through any cross-section per unit time is called

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electric flux

magnetic flux

mass flux

none of them

Smaller the damping, greater will be the

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frequency

wavelength

amplitude

none of them

The conduction band in a solid

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may be empty

cannot be empty

should be filed

all of them

The focal length of convex lens having magnifying power of 5.55 is:

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5.5 cm

5 cm

4.5 cm

6 cm

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

Dimension of mass is written as:

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M

[M]

(M)

[m]

In the phenomenon of hysteresis

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magnetism leads the magnetising current

magnetism lags behind the magnetising current

meganetism goes along the magnetising current

none of them

A particle moving uniformly along circle its projection along diameter performs

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Linear motion

Projectile motion

SHM

Rotatory motion

Surface tension of water is due to

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Inter molecular attractions

Inter molecular spaces

Inter molecular repulsion

None of above

When a force of 0.5 N displaces a body through a distance of 2m in the direction of force, the work done is:

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0.5 J

2 J

0.25 J

1 J

The energy stored in a charge capacitor

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1/2CV²

1/2C²V

1/2C/V²

None of these

Two projectiles are fired from the same point with the same speed at angles of projection 60° and 30° respectively. Which one of the following is true?

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Their range will be same

Their maximum height will be same

Their landing velocity will be same

Their time of flight will be same

The fractional change in resistance per kelvin is known as

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temperature coefficient

resistance coefficient

super temperature

critical temperature

Ferromagnetic substances lose their magnetism when heated above a certain temperature, known as

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critical temperature

curie temperature

high temperature

fixed temperature

If an iron ball and a wooden ball of the same radius was released from a height 'h' in vacuum, then time taken by both of them to reach ground will be

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Unequal

Exactly equal

Roughly equal

Zero

the current is pass through the straight wire. The magnetic field established around it has its lines of force:

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Circular and endless

Oval in shape and endless

Straight

Parabolic

All are true

There is present in paraffin a large amount of:

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Nitrogen

Hydrogen

Carbon

Baryllium

Lithium

A car is turning around a corner at 10 m/sec as it travels along an arc of circle. If value of centripetal acceleration is 10 m/sec²in this case, find radius of the circular path:

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1 m

5 m

10 m

15 m

A coil of constant area is placed in a constant magnetic field. An induced current is produced in the coil when

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The coil is distorted

The coil is rotated

The coil is neither distorted nor rotated

Both A and B

None of these

Which one of the following is correct?

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V_o= 1.414 V_rms

I_ams= 1.414 I_o

VO = 10.70 Vrms

Both a and b

The shortest distance between two points directed from its initial point to final point is called:

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Velocity

Displacement

Speed

Distance

In an N-type silicon, which of the following statement is true

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Electrons are majority carriers and trivalent atoms are the dopants

Electrons are minority carriers and pentavalent atoms are the dopants

Holes are minority carriers and pentavalent atoms are the dopants

Holes are majority carriers and trivalent atoms are the dopants

Bernoulli's equation is based upon law of conversation

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Mass

Momentum

Energy

None of these

The doped semi-conductor materials are known as

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intrinsic semi-conductor

extrinsic semi-conductor

either of them

none of them

If speed of electron is 5 x 10⁵m/s. How long does it take one electron to transverse 1 m?

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1 x 10⁶

2 x 10⁶

2 x 10⁵

1 x 10⁵

The Instantaneous value of alternative current maybe:

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The same as its RMS value

Greater than its Rms value

The same as its peak value

Any of these

None of these

Experiments revealed that the ratio of the stress to the strain is a constant value for

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different material

all materials

a given material

all of them

The conductivity of a superconductor is

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Infinite

Very large

Very small

Zero

The relation V = IR represents

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Ampere law

Faraday's law

Ohm's law

Len's law

Acceleration produced in a body by a force varies

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inversely as the applied force

directly as the applied force

directly as the mass of the body

none of them

In the compton's effect, it is found that the wavelength of incident x-rays is

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greater than the wavelength of scattered x-rays

equal to the wavelength of scattered x-rays

less than the wavelength of scattered x-rays

any one of these

Maric Curie and Pieree Curie discovered two new radioactive elements, which are called

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polonium uranium

uranium and radium

polonium and radium

none of these

A train is moving with a velocity of 25 m/s and a car is moving behind it by a velocity of 8 m/s in same direction. The relative velocity of train with respect to car is

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17 m/s

33 m/s

17.5 m/s

none

The charge per unit time through any cross-section of a conductor is called

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capacitance

electric power

current

potential difference

The potential difference across the conductors should be maintained constant by connecting the ends of wire to the terminal of a device called a source of

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power

current

resistance

temperature

We cannot utilize the heat contents of oceans and atmosphere because

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there is no reservoir at the same temperature

there is no reservoir at the temperature lower than any one of two

there is no reservoir at the temperature higher than any one of two

none of them

Astrophysics is a branch of physics, which deals with:

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Sub-atomic particles

Stars and galaxies

Light and sound

Music

In crystalline solids, atoms are held about their equilibrium positions depending upon the strength of:

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Adhesive force

Nuclear forces

Inter atomic cohesive force

Electromagnetic force

None of these

Which of the following diode is used to derive the current in external circuit when light is incident in the circuit

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photo diode

light emitting diode

photo voltaic cell

none of these

Which force is not a conservative force:

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Frictional force

Gravitational force

Electric force

Elastic spring force

Number of supplementary units are

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Three

Two

Seven

Five

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

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

A unit cell is smallest basic structure which is:

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One dimensional

Two dimensional

Three dimensional

Four dimensional

None of these

A one microfarad capacitor of a TV is subjected to 4000 V potential difference. The energy stored in capacitor is

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8 J

16 J

4 x 10^-3J

2 x 10^-3J

Lens's law deals with the

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Magnitude of induced current

Magnitude of induced e.m.f

Direction of induced e.m.f

Direction of induced current

Work done on a body by gravity in lifting it up to certain height is

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Maximum

Minimum

Zero

Negative

A potential barrier of 0.7V exists across p-n junction made from:

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Germanium

Silicon

Arsenic

Gallium

Indium

Magnetic flux passing through the an element of are A placed perpendicular to a uniform magnetic field Bis:

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Maximum

Minimum

Zero

Very small

None of these

Energy is dissipated and consequently the energy mass system do not oscillate indefinitely because of

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very small energy

very large energy

frictional forces

acceleration due to gravity

The conventional current is the name given to current due to flow of:

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Positrons

Positive charges

Negative charges

Both (A) and (C)

None of these

A string is stretched between two points and is plucked at right angles to its length, the vibration produced is:

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Longitudinal wave

Transverse wave

No vibration at all

None of them

A ten ohm electric heater operates on a 110 V line. Calculate the rate at which it develops heat in watts

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1310 W

670 W

810 W

1210 W

The waveform of alternating voltage is a:

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Square

Rectangular

Saw-tooth

Sinusoidal

None of these

Chock consumes externally small

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Charge

Current

Power

Potential

Good absorbers of heat are

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Poor emitters

Non emitters

Good emitters

Highly polarized

If the mass of the simple pendulum becomes double, its time period

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increase

decreases

remains constant

none of them

Fluid A is more viscous than fluid B. While flowing through a pipe of the same dimensions and material which fluid takes longer to travel at 25°C?

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fluid B

fluid A

both take the same time

not possible to determine from given information

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0

1

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A.P.

G.P.

H.P.

None of these

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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e^x+ c

e^-x+ c

x e^x+ c

not possible

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1

2

3

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

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1/3

1

3

None of these

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1

-1

0

None of these

If we have a statement "if p then q" then q is called

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Conclusion

Implication

Unknown

Hypothesis

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

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If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

Choose an answer

0

1

2

3

Choose an answer

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

Which of the following sets has closure property w.r.t. addition

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{ 0 }

{ 1 }

{ 0, -1}

{ 1, -1}

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

(n + 2) (n + 1)n in factorial form is

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x+1

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

How many arrangements of the letters of the word MATHEMATICS can be made

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The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

The set of the first elements of the orders pairs forming a relations is called its

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Relation in B

Range

Domain

Relation in A

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

1/3 is ______

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A prime number

An integer

A rational number

An irrational number

Choose an answer

none of these

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

Which of the following is a quadrantal angle

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30°

45°

60°

90°

For any set B,B∪B' is

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Is set B

Set B'

Universal set

3x + 4 < 0 is

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not inequality

equation

identity

inequality

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ab=-1

ab = 1

ab = 2

None

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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n if n is even

0 for any natural number n

1 if in odd

None of these

Choose an answer

a

2a

3a

4a

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

Choose an answer

cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

The vertex of the equation y² = 4ax is:

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(2, -2)

(1,1)

(0 , 0)

(2 , 2)

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

Choose an answer

1

2

-1

0

Choose an answer

cot x + c

tan x + c

-cot x + c

-tan x + c

(A ∩ B)c =

Choose an answer

A∩ B

(A ∪ B)c

Ac∪Bc

Φ

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

Choose an answer

R

2R

r

2r

Cot 45° = ______

Choose an answer

0

-1

1

1/2

Choose an answer

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

Choose an answer

-3 -2i

3 +2i

1 + 2i

1 - 2i

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

Choose an answer

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of these

Choose an answer

405 / 256

504 / 259

450 / 263

None

Choose an answer

12

13

14

15

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

The additive inverse of 1 is

Choose an answer

1

-1

0

Does not exist

Every natural number is

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A prime number

An irrational number

An integer

An even number

Choose an answer

Multiplying each side of an inequality by (-1) will:

Choose an answer

Not effect

Change the sign

Become zero

Not defined

Root of the equation 3^x-1+ 3^1-x= is

Choose an answer

2

1

0

-1

The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

Choose an answer

If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

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A. P.

G. P.

H. P.

None of these

Choose an answer

I

|A|

|A| I

None of these

A disjunction of two statement p and q is true

Choose an answer

p is false

q is false

Both p and q are false

One of p and q is true

Choose an answer

1

1/2

0

None

Choose an answer

I quadrant

II quadrant

III quadrant

IV quadrant

Choose an answer

0

1