Question # 1

When a water droplet falls through air, the net force on it is

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Net force = drag force - weight

Net force = weight - drag force

Net force = drag force + weight

Net force = weight + drag force

One radian is equal to:

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30.3°

45.3°

50.3°

57.3°

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 loudness and pitch of a sound note depends on

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Intensity and velocity

Frequency and velocity

Intensity and frequency

Frequency and number of harmonic

Different radioactive material have

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same half lives

different half lives

same mean lives

same total lives

Max plank received the Nobel Prize in physics for his discovery of energy quanta in

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1900

1906

1912

1918

A square loop of wire is moving through a uniform magnetic field. The normal to the loop is oriented parallel to the magnetic field. The emf induced in the loop is:

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Zero

Of smaller magnitude

Of larger magnitude

Sometimes B, sometimes C

Neither of these

There is present in paraffin a large amount of:

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Nitrogen

Hydrogen

Carbon

Baryllium

Lithium

de-Broglies hypthesis was experimentally verified by

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Maxwell

Compton

Einstein

Davison and Germer

The SI unit of conductivity is

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ohm-m

ohm^-1m^-1

ohm-m^-1

ohm^-1m

The expression for restoring force is

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F=ma

F=kx

F= -kx

Kx=ma

Viscosity of water is ______ that of air but ___ that of plasma.

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More, more

Less, more

Less, less

More, less

The unit of decay constant is

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sex

sec²

sec^-1

sec^-2

A fuse wire is having 5 ampere current rating. What is the peak value of current it can have?

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0.7074 A

7.07 A

0.0707 A

7.707 A

The temperature at which the vibrations become so great that structure of the Crystal breaks up, is called:

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Critical temparature

Temperature of vaporization

Melting point

Both (A) and (C)

Both (A) and (B)

The acceleration of body executing SHM is directly proportional to

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Applied force

Amplitude

Displacement

Frictional force

An ideal choke (used along with fluorescent tube) would be

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A pure resistor

A pure capacitor

A pure inductor

A combination of an inductor and a capacitor

Which of the following material has longer half life

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radium

polonium

radium

uranium

A changing magnetic flux creates around itself

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An electromotive force

An electric field (changing electric flux)

Magnetic field

None of the above

The distance covered by the wave during one period is called its:

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Wave number

Frequency

Wavelength

Time period

A particle is moving along a circular path with uniform speed. Its projection will execute ___along the _____ of the circle:

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Circular motion, circumference

Vibratory, chord

SHM, diameter

SHM, circumference

When the shear stress and shear stain are involved, then their ratio is called

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Young's modulus

Bulk modulus

Shear modulus

all of them

The linear momentum of the body is defined as

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p=ma

p=1/2ma

p=mv

p=1/2mv

A boy pulls a toy car through a distance of 5 m by applying a force of 0.5 N, Which makes an angle of 60° with the horizontal. The work done by the boy is:

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1.25 J

12.5 J

125 J

None of these

On colliding in a closed container, the gas molecules

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Transfer momentum to the walls

Momentum becomes zero

Move in opposite directions

Perform Brownian motion

Moment of inertia depends upon:

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Mass

Selection of axis of rotation

Both of them

None of these

Free electrons are

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tightly bound

fixed

loosely bound

tightly fixed

The output voltage of half wave rectification is in the form of

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a smooth curve

a smooth wave

pulses

all of the above

A force of 50 dynes is acted on a body of mass 5 g which is at rest, for an interval of 3 seconds, then impulse is

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0.15 x 10^-3Ns

0.98 x 10^-3Ns

1.5 x 10^-3Ns

2.5 x 10^-3Ns

The voltage increases linearly with

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time

velocity

acceleration

torque

A point charge Q is placed at the mid-point of a line joining two charges. 4q and q. if the net force on charge q is zero. then Q must be equal to

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-q

+q

-2q

+4q

0.1 kg mass will be equivalent to the energy

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9 x 10¹⁵J

5 x 10⁸J

6 x 10¹⁶J

9 x 10^-16J

Surface tension of water is reduced by adding

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Detergents

Camphor

Plastic

Both A and B

Electromagnetic waves emitted by hot bodies are called:

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Photoelectrons

Alpha rays

Thermal radiation

None of these

When thorium nucleus emits aβ-particle, the daughter nucleus is called:

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Protactinium

Actinium

Uranium

Radium

Redon

Nucleus consists of

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proton and neutron

protons and electron

electron and neutron

protons only

The isotope/s of hydrogen is /are:

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Protium

Deuterium

Tritium

Both (A) and (B)

All of these

When a body is moving with uniform positive acceleration, the velocity- time graph is a straight line. Its slope is

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zero

negative

positive

non-existing

The pattern of NaCl particles have a shape which is :

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Cubic

Body centred cubic

Simple cubic

face centred

Both (A) and (C)

The electrical forces between the molecules of a liquid are

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Repulsive

Attractive

Both A and B

None

A body walks to his school at a distance of 6 km with a speed of 2.5 km/h and walks back with a constant speed of 5 km/h. His average speed for round trip expressed in km/h is

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24/13

10/3

3

4,8

The year when A.H. compton was awarded Nobel Prize is:

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1923

1927

1931

1935

None of these

Examples of moderators used in a fission reactor is/are:

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Water

Heavy water

Carbon

Hydrocarbon

All of these

An electron is accelerated through a potential difference of 50v. its de-Brogile wavelength is

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1.66 x 10^-29m

1.74 x 10^-10cm

17.4 x 10^-6m

1.74 x 10^-10m

The percentage of available heat energy converted into work by a petrol engine is roughly

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35 %

40 %

35 to 40 %

25 %

The gavanometer constant of a moving coil galvanometer is given by

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K=BAN/C

K=BN/CA

K=NAC/B

K=C/BAN

Which of the following material has smaller has life

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uranium

polonium

radium

radian

When charged particle is projected perpendicular to a uniform magnetic field its trajectory is

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circular

elliptical

cycloid

straight line

In helium Neon Laser Neon = 15% and Helium = 85% used. The lasing gas this unit is

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Helium

Neon

Both

None of these

A body moves a distance of 10 m along a straight line under the action of a force of 5 N. If the work done is 25 J, the angle which force makes with the direction of motion of a body is:

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0°

30°

60°

90°

SI unit of current describes the flow of charge at the rate of

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One ampere per second

One coulomb per second

One electron per second

6.25 x 10¹⁸electrons per second

Both B and D

Ohm established a relation between

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voltage and resistance

voltage and charge

voltage and current

voltage resistance and charge

An object undergoes SHM. Its maximum equilibrium positions:

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Maximum

Half of its maximum value

Zero

None

Consider a photon of continuous X-ray and a photon of characteristics X-ray of same wavelength. Which of the following is/are different for the two photons

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Frequency

Penetrating power

Energy

Method of creation

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

CRO deflects the beam of

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proton

a-particle

electron

neutron

The quantity have dimension of ML²T⁰²will have SI unit of:

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Watt

Newton

Joule

Metre

For the conversion of galvanometer into voltmeter, we connect a

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small resistance in series with galvanometer

small resistance in parallel with galvanometer

high resistance in parallel with galvanometer

high resistance series with galvanometer

The substance in which atoms are so oriented that the field produced by spin and orbital motion of the electrons might add up to zero,are called

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diamagnetic substances

ferromagnetic substances

paramagnetic substances

all of them

Such an inductor coil which does not consume energy and is often employed for controlling a.c. without consumption of energy is called

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Choke

impedance

Semi-conductor

None

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

The contrast in the fringes in an interference pattern depends upon

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Fringe width

Relative difference intensities of the two sources

Distance between the slits

Wavelength

the symbol to be used in relativity problems denotes:

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Dilated time

Proper time

Life time

Half time

None of these

A uniform resistance wire of Length L and diameter d has a resistance R. Another wire of same material has length, 4L and diameter 2d, the resistance will be

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2 R

R

R/2

R/4

Which one of the following is the unit of electric field intensity

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JC^-1

Vm^-1

Cm^-1

CJ^-1

The ratio of linear stress/linear strain is called as

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Yong's modulus

Bulk modulus

Shear modulus

Modulus

Compton studied the scattering of x-rays by loosely bound electrons from:

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NaCl crystal

Graphite crystal

Zirconia

Copper crystal

None of these

The unit of decay constant is:

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Second

Metre

Hour

Year

Second^-1

The results of spectra obtained by Blamer were expressed in 1896 by

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Bohr

Rydberg

Planck

Rutherford

Coulomb

Force is a:

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Scalar quantity

Base quantity

Derived quantity

None of these

The value of current at resonance in series LCR circuit is affected by the value

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R only

C only

L only

R, C and L

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

Amplitude in SHM is equivalent to ______ in circular motion:

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Diameter

Radius

Circumference

None of these

The induced current in a conductor depends upon

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Resistance of the loop

Speed with which the conductor moves

Any of these

Both A and B

None of these

Truth of kinetic energy is confirmed by:

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Diffusion of gases

Brownian motion

Both A and B

None of these

The force experienced by charged particle is maximum, if it moves

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parallel to magnetic field

perpendicular to magnetic field

opposite to the magnetic field

none of these

Time period of a simple pendulum depends upon the

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length of the pendulum

acceleration due to gravity

none of them

both of them

Work is a

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Scalar quantity

Vector quantity

Base quantity

None of these

Electrons are

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positive charged

negatively charged

massless

neutral

On a cold morning a metal surface will fell colder to touch than a wooden surface, because

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Metal has high specific heat

Metal has high thermal conductivity

Metal has low specific heat

Metal has low thermal conductivity

The least distance of distinct vision is:

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10 cm

25 cm

50 cm

100 cm

The lasing or active medium in He-Ne laser discharge tube is:

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Nitrogen

Helium

Hydrogen

Neon

None of these

Energy stored in the spring of a watch is called

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Potential energy

Kinetic energy

Nuclear energy

Elastic potential

An aircraft is moving with a velocity of 300 ms^-1. If all the forces acting on it are balanced, then

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It still moves with the same velocity

It will be just floating at the same point in space

It will be fall down instantaneously

It will lose its velocity gradually

A particle executes SHM with frequency. The frequency with which its K.E oscillates is

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f/2

2f

f

4f

From sand, we get a material used for construction of computer chips. That material is called:

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Germanium

Silicon

Copper

Lead

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

A vector of magnitude 5 N is added to a vector of magnitude 8 N while the orientations are changeable. Range of their possible sum will be very from:

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Zero to 3 N

1 N to 13 N

13 N to 3 N

None of these

The figure 1.007276μ shows the mass of an:

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Atom

Positron

Electron

Neutron

Proton

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)

A point on the rim of a wheel moves 0.2 m when the wheel turns through an angle of 14.3 degrees. The radius of the wheel is

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0.05 m

0.08 cm

0.8 m

0.008 m

An L-R circuit has R = 10 Ω and L = 2 H. If 120 V, 60 Hz A.C. voltage is applied, then current in the circuit will be

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0.32 A

0.16 A

0.48 A

0.80 A

An alpha particle is accelerated through a potential difference of 10⁶volt. Its kinetic energy will be

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1 MeV

2 MeV

4 MeV

8 MeV

The permeability of free space is measured in:

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Wb/Am

Wb A/m

Am/Wb

m/Web A

None of these

The energy acquired by a mass of 1g moving with the speed of light is

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3 x 10⁸J

9 x 10¹³J

3 x 10¹³J

9 x 10¹⁶J

The graph showing the variation of displacement with time is a

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Sine curve

Straight line

Parabola

None of these

A digital system deals with quantities or variables which have

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only one state

only two discrete states

three discrete states

four discrete states

Unless stated otherwise, when we speak of A.C. meter reading, we usualy mean:

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Peak value

RMS value

Instantaneous value

Peak-to-peak value

Both (A) and (C0

The magnetic field outside the solenoid due to current is

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strong

zero

weak

uniform

Work is a Quantity

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Vector

Scalar

Non-physical

None of these

1 gm-cm^-3is equal to:

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10³kg-m^-3

10^-3kg-m^-3

1 kg-m^-3

10⁶kg-m^-1

Nectar : Flower

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Ambrosia : Food

Desert : Kwashiorkor

Honey : Hive

Ore : Rock

Citizens have right that everyone should have ______ opportunity to have a job

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An equal

A equal

The equal

Equal

Choose Relative Pair Of Word

Sophist: Truth

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Quack: medicine

Director: Plan

Alarmist: legend

Actor: Shoot

STOCKING : LEG

Choose an answer

Waistband : Skirt

Ankle : Foot

Button : Lapel

Glove : Hand

That overhead projector _______ thousand rupees

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Nearly costs sixty

Costs sixty nearly

Costs nearly sixty

None of these

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

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Cos (α+β) - cos (α-β) =

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-2 sinα sinβ

2 sinαcosβ

-2 sinαcosα

4 sinα cosβ

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

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w¹¹= ______

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0

1

w

w²

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

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2

-2

3

-3

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

Choose an answer

2

4

8

12

Choose an answer

sec 5x + c

- sec 5x + c

Choose an answer

0

-1

1

2

Choose an answer

a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

tan270° =__________;

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0

1

-1

Undefined

Choose an answer

-sinθ

cosθ

sinθ

-cosθ

Choose an answer

1

-1

Choose an answer

x²+ x - 6 = 0 is a conditional equation and it is true for

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2, 3

2, -3

-2, -3

-2, 3

Choose an answer

none of these

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

Choose an answer

1

-1

5

2

The complement of set A relative to universal set U is the set

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No solution

One real solution

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

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

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

The exact value of cos^-1 (-1) + cos^-1(1) =

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π

-π

π/2

π/3

If a +b +c =0 then which of the following is true

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a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

Choose an answer

A variable

A constant

0

None of these

The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

3.5+5.4=5.4+3.5 =8.9 this property of addition is called

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additive identity

assoclative property

commulative property

closure property

Choose an answer

1

-1

0

I

The common ration of a geometric sequence cannot be

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0

1

2

3

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

The point ________ is in the solution of the inequality 2x - 3y < 4

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:

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x² = 4y -32

x² =8y -32

y³ = 16 x

x2 + 8y =32

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

The differential equation of all st. lines which are at a constant distance to form the origin is

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none of these

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

Choose an answer

Square matrix

Row matrix

Symmetric matrix

Null matrix

The angle between lines xy =0 is

Choose an answer

45°

60°

90°

180°

Choose an answer

3/4

r

v

None of these

Choose an answer

x⁴- 3x³+ 3x + 1 = 0 is called ______

Choose an answer

Reciprocal equation

Exponential equation

Radical equation

None of these

Choose an answer

11

61

1

If f(x) = x²-x then f(1) is

Choose an answer

0

1

2

3

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

sin²αcos²α=

Choose an answer

-1

0

1

None of these

Choose an answer

a^xIn a + c

a^x+ c

x a^x+ c

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

If aand bare two vectors then a+b =

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b + a

b - a

ab

a^ b

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

Choose an answer

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

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7

-2

6

1

The roots of (b-c)x2+(c-a) x+a-b=0 are equal if

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2b = a+c

2a = b+c

2c = a+b

a + b + c =0

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

Multiplicative inverse of "1" is

Choose an answer

+- 1

0

1

None of these

n(n-1)(2n-1), for all natural numbers n, is divisible by

Choose an answer

12

6

2

18

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

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c =±√2

c =0

c=±√17

c=±√15

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

Choose an answer

0

1

Choose an answer

quadrant I

quadrant II

quadrant III

quadrant IV

The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is