Question # 1

When a person jumps off the ground, the reaction force of the ground is

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greater than the weight of the person

smaller than the weight of the person

equal to the weight of the person

zero

A particle of mass 0.5 g moving along x-axis is located of x₁= 15 m at t₁= 5s and x₂= 33 m at t₂= 13s its average velocity is

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6 m s^-1

2.45 m s^-1

2.25 m s^-1

4.45 m s^-1

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

When three identical bulbs of 60 watt, 200 volt rating are connected in series to a 200 volt supply, the power drawn by them will be

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180 watt

10 watt

20 watt

60 watt

Physical quantities are often divided into ______ categories

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3

2

9

5

An isochoric process is one which take place at

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Constant internal energy

Constant entropy

Constant volume

Constant pressure

If A represents linear momentum and c, the velocity of light, then unit of pc in international system of units is:

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Newton

Joule

Joule-Sec

Joule-s^-1

Watt

Neutrons are

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positive charge

negatively charged

massless

neutral

When a charged particle passes through matter, it produces ionization, this effect is used in

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fission reaction

reactor

radiation detector

fusion reaction

A rheostat can e used:

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As variable resistor

As potential divider

For varying the current

All of these

None of these

Mass of neutron is

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1.67 x 10^-31kg

1.67 x 10^-27kg

9.1 x 10^-31kg

1.67 x 10^-19kg

The mass of the nucleus is always less than the total man of the protons and neutron that make up the nucleus. The difference of the two masses is called

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nuclear fission

nuclear fusion

man defect

radioactivity

Vibratory motion is always under

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Applied force

Restoring force

Periodic force

Gravitational force

The minimum wavelength of X-rays produced of 1KV potential difference is applied across the anode and cathode of the tube is

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1.24 x 10^-10m

7.92 x 10^-20m

2.78 x 10^-14m

3.88 x 10^-11m

If the distance of separation between two chares is increased, the electrical potential energy of the system will

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Increase

Decrease

May increase or decrease

Remain the same

Work done is independent of path followed in _______

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Gravitational field

Magnetic field

Electric field

All of these

The cohesive forces between atoms, molecules or ions in crystalline solids maintain the strict

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short range order

long range order

both of them

none of them

The superposition of the two waves of same frequency and amplitude travelling in the same direction gives to an effect called

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Diffraction

Interference

Polarization

Dispersion

A choke coil is used as a resistance in

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d.c. circuit

a.c. circuit

d.c. potentiometer circuit

wheatstone bridge

The substances in which, atom are so oriented that their fields support each other and the atoms behave like tiny magnets, are called

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diamagnetic substances

ferromagnetic substances

paramagnetic substances

all of them

On heating, glass gradually softens into a paste like before it becomes a very viscous liquid at almost

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600°C

7600°C

800°C

900°C

The graph showing the variation of displacement with time is a

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Sine curve

Straight line

Parabola

None of these

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

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Real

Virtual

Diminished

Erect

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

According to slok's law, drag force depends on

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Radius of the spherical body

Terminal velocity of body

Coefficient of viscosity

All of above

The path (or trajectory) described by a projectile is

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a parabola

a hyperbola

a circle

a straight line

The CRO deflects the beam of electrons, when they passes through uniform

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electric field

gravitational field

magnetic flax

magnetic field

At constant volume temperature is increased. Then

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Collision on walls will be less

Number of collisions per unit time will increase

Collision will be in straight lines

Collision will not change

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

Work has the dimension as that of:

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Torque

Angular momentum

Linear momentum

Power

The definite number of significant figures in 5000 is:

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Four

Three

Two

One

In equation F=ma, then mass 'm' is

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rest mass

variable mass

inertial mass

gravitational mass

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

Decibel is unit of

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Intensity of light

x-ray radiation capacity

sound loudness

Energy of radiation

The waves in which the particles of the medium have displacement along the direction of propagation of waves are called

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longitudinal waves

transverse waves

non-mechanical waves

none of them

The charged nucleus of an atom itself spins its magnetic field

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equal to the field produced by orbital electrons

greater than the field produced by orbital electrons

much weaker than the field produced by orbital electrons

none of these

The example of reversible process is

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an explosion

changes occur suddenly

slow compression of a gas

all of them

Diameter of the nucleus s of the order of

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10^-10m

10^-12m

10^-15m

10^-18m

The ratio of linear stress/linear strain is called as

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Yong's modulus

Bulk modulus

Shear modulus

Modulus

The penetration power ofβ-particle is

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zero

less thanα-particle

equal toα-particle

greater thanα-particle

If the time period a simple pendulum is 2 s, its frequency would be

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2 Hz

1.5 Hz

1.0 Hz

0.5 Hz

The dimensions of work

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[MLT^-1]

[MLT^-2]

[ML²T^-2]

[MLT]

Tick the conservation force:

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Tension in a string

Air resistance string

Elastic spring force

Frictional force

In n-p-n transistor, emitter base junction is kept

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reversed

forward biased

may be reversed or may be forward biased

none of these

The SI unit of magnetic permeability is

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WB A^-1m^-1

WB mA^-1

WB Am^-1

None of these

A particle of mass 5.0 mg moves with a speed of 8.0 m/s. Its de-Brogile wavelength is

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1.66 m

1.66 x 10^-10m

1.66 x 10^-29cm

1.66 x 10^-29m

Smaller the damping, greater will be the

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frequency

wavelength

amplitude

none of them

When the conductor moved across a magnetic field:

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Emf induced is similar to that of a battery

Emf induced gives rise to induced current

An emf induced across its ends

All are correct

None of these

A sinusoidally alternating voltage or current can be graphically represented by a:

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Vector

Rotating vector

Clockwise vector

Anticlockwise voltage vector

None of these

The wave form of alternating voltage is the graph between:

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Voltage across X-axis and time across y-axis

Current and time

Voltage along y-axis and time along x-axis

Voltage and current

Either (B) or (D)

When two progressive waves of nearly same frequencies superimpose and give rise to beats, then

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Frequency of beat changes with time

Frequency of beat changes with location of observer

All particles of medium vibrate simple harmonically with frequency equal to the difference between frequencies of component waves

Amplitude of vibration of particles at any point changes simple harmonically with frequency equal to difference between two component waves

A wire of radius r has resistance R. If it is stretched to a wire of r/2 radius, then the resistance becomes

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2R

4R

16R

Zero

The unit of work in CGS system is

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Joule

Erg

Dyne

Watt

Two point charges A and B separated by a distance R attract each other with a force of 12 x 10^-3N. The force between A and B when the charges on them are doubled and distance is halved

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1.92 N

19.2 N

12 N

0.192 N

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

The length of rotating vector (on a certain scale) represents the:

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Peak value of alternating quantity

RMS value of alternating quantity

Instantaneous value of alternating quantity

Either (B) or (C)

Either (A) or (B)

When quarter of a circle is completed, phase of vibration is:

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90°

180°

45°

360°

The special theory of relativity is based on the

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one postulate

two postulates

three postulates

four postulates

Ohm is the unit of

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current

capacitance

energy

resistance

Example of vibratory motion is

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mass suspended from a spring

a bob of simple pendulum

mass attached to a spring placed

all of them

The value of escape velocity of Earth planet comes out to be:

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11 m/sec

11 km/sec

11 km/hour

11 cm/sec

The wave form of S.H.M will be

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square wave

sine wave

rectified wave

saw-tooth wave

The number of all the protons and neutrons in a nucleus is known as

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atomic number

mass number

charge number

none of these

Electron is a particle whose mass is:

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Greater than that of a proton

Smaller than that of a proton

Smaller than that of a proton or a neutron

Greater than that of an atom

The transition from solid to liquid is actually from:

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Order to disorder

Disorder to order

Order to order

Disorder to disorder

None of these

The ideal gas law is

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P = nRT

V = nRT

PV =RT

PV =nRT

Which of the following quantity for particle executing SHM is non-zero at mean position

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Force

Acceleration

Velocity

Displacement

Bernoulli's equation is the fundamental equation in fluid dynamics, which relates pressure to fluid

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speed

height

none of them

both 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

When a body moves with a constant speed in a circle:

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No work is done on it

No acceleration is produced in the body

Velocity remains constant

None of these

The direction of the linear momentum is the direction of

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speed

velocity

weight

none of them

In compressional wave,the layer of medium having reduced pressure is called:

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Compression

Elasticity

Node

Rarefaction

The Nobel Prize on the explanation of photoelectric effect was awarded to:

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Max. Planck

Maxwell

Bohr

Rutherford

None of these

Examples of physical quantities are:

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Length

Color

Effect of music

All of these

At ordinary temperature, an increase in temperature increases the conductivity of

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Conductor

Semiconductor

Insulator

Alloy

Which of the following does not have the same units:

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Work

Heat

Kinetic energy

Power

A non-inertial frame of reference is one, in which

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law of inertial is valid

all laws of physics are the same in all frames

a>0 or a<0

a=0

Structure of the nucleus was explained by

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J.J Thomson

Bohr

Millikan

Rutherford

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

Absolute zero is considered as that temperature at which:

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All liquid become gases

All gases become liquid

Water freezes

None of these

Resistor is a device which convert electric energy to

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Heat energy

Chemical energy

Elastic energy

All of the above

A 220 V, 50 Hz. A.C. source is connected to an inductance of 0.2 H and a resistance of 20 ohm in series. What is the current in the circuit?

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10 A

5 A

33.3 A

3.33 A

The decrease in velocity per unit time is called:

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Variable Acceleration

Average Acceleration

Retardation

None of these

A body of mass 0.031 kg attached to one end of a spring of spring constant 0.3 N/m, then time period of spring mass system will be:

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1.5 sec

2.0 sec

2.3 sec

2.5 sec

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

An object undergoes S.H.M has maximum speed when its displacement from the mean position is

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maximum

zero

half of the maximum value

one third of the maximum value

Strictly speaking, the earth is:

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An accelerated frame of reference

A non-inertial frame of reference

An inertial frame of reference

^{A non-accelerated frame of reference}

Both (A) and (B)

When a conductoris moved across a magnetic field:

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Emf induced its similar to that of a battery

Emf induced gives rise to induced current

An emf is induced across its ends

All are correct

None of these

For the working of a heat engine, there must be

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a source of heat at high temperature

a sink at low temperature

both of them

none of them

Terminal velocity is the maximum velocity attained by a spherical droplet when the drag force______the weight of droplet:

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Is smaller than

Is greater than

Becomes equal to

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

A pair of quark and antiquark makes a:

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Meson

Baryon

Proton

Neutron

None of these

An electron of charge e coulomb passes through a potential difference of V volts its energy in joules will be

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V/e

eV

e/V

V

The expression for restoring force is

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F=ma

F=kx

F= -kx

Kx=ma

The value of relative permittivity of different dielectrics are

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Equal

Different

Greater than one

Smaller than one

Both B and C

If a material object moves with the speed of light 'C' its mass becomes

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Equal to its rest mass

Four times of its rest mass

Double of its rest mass

Infinite

Which one of the following phenomenon cannot be explained on the bases of Huygen's theory

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Refraction

Reflection

Diffraction

Formation of spectrum

We can express the work in term of

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directly measurable variables

indirectly measurable variables

either of them

both of them

NmA^-1is commonly called:

Choose an answer

Weber

Apmere

Guass

Coulomb

None of these

The drag force acting on a spherical droplet of radius 10^-5m moving with a velocity of 1 cm/sec in a fluid of velocity 5.31 x 10^-7m/sec. The units comes out to be:

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10^-16N

10^-14N

10^-12N

10^-10N

When certain area A is held parallel to the field lines, then:

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No lines cross this area

Maximum lines pass through this area

The number of lines are between zero and maximum

Both (A) and (B) correct

None of these

Yaqub says, "I am ill."

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Yaqub told me that he is ill

Yaqub said to me that he was ill

Yaqub asked that he was ill

Yaqub says that he is ill

Meager

Choose an answer

Minimize

Lavish

Sensitive

Recover

Hymn : Serenade

Choose an answer

Ballade : Tango

Psalm : Love poem

Encore : Aria

Rock : Croon

BRAKE : AUTOMOBILE

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choke : carburetor

conscience : man

detergent : society

stop : horse

(Complete the sentence with suitable words)

He appeared ______ began to take the exam

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Nervous as he

Nervously when he

Nervously as he

None

Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a

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Minimum

Maximum

Stationary point

Constant point

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

Choose an answer

2

-1

8

not defined

Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

i =

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√1

√2

√-2

√-1

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

Choose an answer

It is not possible to find the exact value of

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π

√9

∛27

√1

A triangle has ____ elements

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3

4

5

6

Choose an answer

General solution of tan 5θ= cot 2θis

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If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

Choose an answer

1.5

1.2

8

None of these

A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if

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h2 = ab

a + b =0

a = b

a≠ b

a = b = 0

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

Choose an answer

None of these

Range of sec x is ______

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[-1, 1]

R

Negative real numbers

R = {x | -1 < x < 1}

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

Choose an answer

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

Choose an answer

0

1

2

Infinite

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

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

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[a.b.c]

2[a,b,c]

[abc]-2

2[abc]2

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

The solution set of the equation 4 cos²x - 3 + 0 is

Choose an answer

none of these

Choose an answer

The distance between the points (2,3) and (3,2) is

Choose an answer

5

2

10

The range of y = cot x = ______

Choose an answer

-∞> y > +∞

-∞> x > +∞

-∞ <y < +∞

None of above

Choose an answer

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

The direction cosines of any normal to the xy-plane are

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<1, 0, 0>

<0, 1, 0>

<1, 1, 0>

<0, 0, 1>

Choose an answer

There is no element common in

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N and W

E and W

N and O

Q and Q'

Choose an answer

2

4

6

8

The number of terms in the expansion of (a + x)¹²is

Choose an answer

13

12

11

10

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

Choose an answer

ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

an -an-1,∀n∈N∧n>1 in an A.P is called

Choose an answer

Common difference

nth term

Common ratio

None of these

sin(180° -θ)=

Choose an answer

cosθ

-cosθ

Tanθ

Sinθ

Choose an answer

Area of the circle with ends of a diameter at (-3,2) and (5,-6)

Choose an answer

128π sq. units

64π sq. units

32π sq.units

None of these

Choose an answer

¹⁰C₆

¹⁰C₅

¹⁰C₄

None

If distance of (a,b) from origin is 5 then

Choose an answer

a²+ b²=5

a = 5

b = 5

The additive inverse of 0 is

Choose an answer

1

-1

0

Does not exist

The period of the function csc x/4 us

Choose an answer

4x

π/4

8π

π/8

The graph of y < 2 is the

Choose an answer

Left half plane

upper half plane

Right half plane

Lower half plane

Choose an answer

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

Choose an answer

c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

Choose an answer

c =±√2

c =0

c=±√17

c=±√15

To each element of a group there corresponds ______ inverse element

Choose an answer

Two

One

No

Three

Choose an answer

0

1

The first three terms in the expansion of (1 - x)^-3are

Choose an answer

1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is

Choose an answer

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

Choose an answer

65

67

71

75

The corner point of the boundary lines, x-2y

2x + y = 2 is:

Choose an answer

(2,6)

(6,2)

(-2,2)

(2,-2)

Choose an answer

2 x 2

2 x 3

3 x 2

3 x 3

The distance of the point (-2 , -3) from y-axis is

Choose an answer

2

-2

3

-3

The sum of all odd numbers between 100 and 200 is

Choose an answer

6200

7500

6500

3750

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 ______

Choose an answer

An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

Choose an answer

circular system

CGS system

sexagesimal system

none of these

The period of|sin⁡2x| is

Choose an answer

π/2

-π/2

π

π/3

The periods of the function f(x) = x[x] is

Choose an answer

1

2

Non periodic

None of these

Choose an answer

4x + 1

4x

2x³

none of these

The period of 2 cos x is

Choose an answer

30π

7π

5π

2π

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

Choose an answer

Angle of depression

Angle of elevation

Acute angle

Obtuse angle

Choose an answer

24 can be written as a product of

Choose an answer

Odd factors

Even factors

Whole factors

Prime factors

Range of sinθis

Choose an answer

The common ration of a geometric sequence cannot be

Choose an answer

0

1

2

3

Choose an answer

If f(x) = -x³then f(-2) is

Choose an answer

-2

-4

-8

8

Choose an answer

The unit vector along z-axis is

Choose an answer

none of these

Conic sections or simply conics are the curves obtained by cutting a right circular cone by

Choose an answer

a line

two lines

a plane

two planes

Choose an answer

2

4

3

16

The formula an = arn-1represents

Choose an answer

nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

The factorial of a positive integers is a (an)

Choose an answer

Rational number

Positive integer

Real number

None

A quadrilateral whose diagonals are perpendicular bisector of each other is

Choose an answer

Square

Rectangle

Rhombus

Parallelogram

Trapezium

If n is any positive integer then n! > 2^n-1for

Choose an answer

Range of sin x is ______

Choose an answer

[-1, 1]

R

Negative real numbers

None of these

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

Choose an answer

1

2

3

4

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

Choose an answer

(-3,1)

(-6,2)

(5,2)

(-5,2)

If the exponent in the binomial expansion is 6, then the middle term is

Choose an answer

2nd

3rd

4th

5th

Choose an answer

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is