Question # 1

The straight current carrying conductor experiences maximum force in a uniform magnetic field when it is placed

Choose an answer

parallel to the field

Perpendicular to the field

At an angle of 45 to the field

None of the above

Which one of the following is an example of SHM

Choose an answer

Motion in a plane

Motion in a swing

Motion in a car

None of these

Laplace formula is derived from

Choose an answer

Isothermal change

Adiabatic change

Isobaric change

None of these

Silicon can be obtained from

Choose an answer

Lead

Uranium

An isotope of oxygen

Sand

When two spherical conducting balls at different potentials are joined by a metallic wire, after some time:

Choose an answer

Both the conductors are at the same potential

Potential difference across the conductors remain constant

Potential difference across the conductors becomes zero

Both (A) and (B)

Both (A) and (C)

Ultraviolet region lies in ______ series

Choose an answer

Layman

Balmer

P fund

B racket

The short distance between two points direction from its initial point to final point is called:

Choose an answer

Velocity

Displacement

Speed

Distance

One radian is equal to:

Choose an answer

30.3°

45.3°

50.3°

57.3°

The SI unit of magnetic flux is.

Choose an answer

weber

Nm^-1A^-1

tesla

gauss

If an amount of heat enters the system it could

Choose an answer

decrease the internal energy

not change the internal energy

increase the internal energy

none of them

If x-component of a vector is -3 N and y-component is 3 N, then angle of resultant vector will x-axis is:

Choose an answer

45°

315°

135°

225°

The definite number of significant figures in 5000 is:

Choose an answer

Four

Three

Two

One

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

Choose an answer

power

current

resistance

temperature

A (100 W , 200 W) bulb is connected to a 160 V power supply. The power consumption would be

Choose an answer

64 W

80 W

100 W

125 W

The instrument which detects the instant at which external pressure becomes equal to the systolic pressure is

Choose an answer

stethoscope

thermometer

manometer

barometer

For production of beats the two sources must have

Choose an answer

Different frequencies and same amplitude

Different frequencies

Different frequencies, same amplitude and same phase

Different frequencies and same phase

Nowadays, Most of the electric energy is produced by the A.C. generators using:

Choose an answer

Hydal water

Geothermal energy

Solar energy

Biomass

Both (B) and (D)

The velocity given to a body to go out of the influence of earth's gravity is known as:

Choose an answer

Terminal velocity

Orbital velocity

Escape velocity

None of these

A piece of fuse wire melts when a current of 15 ampere flows through it. With this current. If it dissipates 22.5 W, the resistance of fuse wire will be

Choose an answer

Zero

10Ω

1Ω

0.10Ω

The smallest three dimensional basic structure in a crystalline solid is called

Choose an answer

lattice point

crystal lattice

cubic crystal

unit cell

The angle of deflection of coil can be measured by the

Choose an answer

one method

three method

two method

none of these

Distance to nearest galaxy from earth is

Choose an answer

10¹⁰m

10¹⁵m

10⁴⁰m

10³⁰m

In an A.C circuit with resistor only, the current and voltage have a phase angle of

Choose an answer

90°

0°

180°

none of these

Gaussian surface is always:

Choose an answer

Rectangular

Spherical

Cylinder

Box shape

Any of these

In the formula P = N₀KT, N₀denotes:

Choose an answer

Number of molecules per unit per volume

Number of moles

Number of molecules

None of these

The special theory of relatively treats the problems involving:

Choose an answer

Inertial frames of reference

Non-inertial frames

Non-accelerated frame

Botha (A) and (C)

Both (B) and (C)

The expression of Hook's law is

Choose an answer

F=ma

F=kx

F= -kx

-kx=ma

An emf is set up in a conductor when it:

Choose an answer

is kept in a magnetic field

is kept in a electric field

Move across a magnetic field

Both (A) and (B)

None of these

If a ball comes back to its starting point after bouncing off the wall several times, then its

Choose an answer

total displacement is zero

average velocity is zero

none of them

both of them

Electron volt is the unit of.

Choose an answer

Potential difference

Energy

Resistance

Capacitance

The volume of universal gas constant R is:

Choose an answer

8.314 J/K mole K

8314 J/K mole K

8.314 J/mole K

None of these

The resonance will be sharp, if the amplitude decreases rapidly at a frequency

Choose an answer

equal to the resonant frequency

slight different from the resonant frequency

greatly different from the resonant frequency

any one of them

Amplitude in SHM is equivalent to_____ in circular motion:

Choose an answer

Diameter

Radius

Circumference

None of these

The relation between charge 'Q' and current 'I' is given by

Choose an answer

Q = I/t

Q = It

Q = I²t

Q = I²/t

Formula for calculating moment of inertia of the bodies of one pair is same. Tick the answer.

Choose an answer

Disc, sphere

sphere, hoop

Thin rod, hoop

Hoop,disc

The change of magnetic flux through a circuit will produce

Choose an answer

Magnetic Field

Electric Field

emf

a.c

For multiplication and division purposes, percentage uncertainties are:

Choose an answer

Add

subtracted

Multiplied

Divided

In an A.C. circuit, a resistance of R ohm is connected in series with an inductance L. If phase angle between voltage and current be 45°. the value of inductive reactance will be

Choose an answer

R/4

R/2

R

Cannot be found with the given data

The value of electrical constant of proportionality k is

Choose an answer

9 x 10⁹Nm²C^-2

9 x 10^-9Nm²C^-2

9 x 10¹⁰Nm²C²

9.85 x 10^-12N^-1C^-2

There is no way to detect:

Choose an answer

Absolute uniform motion

Accelerated motion

State rest

State of motion

None of these

The motion in a plane is the motion in

Choose an answer

one dimension

two dimension

three dimension

four dimension

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

Choose an answer

reversed

forward biased

may be reversed or may be forward biased

none of these

One torr is equal to

Choose an answer

13.33 N/m²

760 N/m²

760 mm Hg

133.3 N/m²

The SI unit of magnetic induction is

Choose an answer

Weber

Weber/meter

Henry

Tesla

When the speed of a body in a fluid increases then the drag force

Choose an answer

decreases

becomes zero

increases

non of them

Which of the following changes at an antinode in a stationary wave?

Choose an answer

Density only

Pressure only

Both pressure and density

Neither pressure nor density

Maximum work is done when force and displacement are

Choose an answer

Parallel

Antiparallel

Perpendicular

Both a and b

When a horse pulls a cart, the force that makes the horse run forward is the force exerted by

Choose an answer

The horse on the ground

The horse on the cart

The ground on the horse

The ground on the cart

Above the curie temperature, iron becomes

Choose an answer

ferromagnetic

paramagnetic

diamagnetic

any one of them

The consumption of energy by a 60 W bulb in 2 minutes is:

Choose an answer

2 watt-hour

120 watt-hour

30 watt-hour

None of these

Smaller the damping, the resonance will be

Choose an answer

more flat

more sharp

both of them

none of them

An A.C. voltmeter read 250 volts. The frequency of alternating is 50 Hz, the peak value of voltage is

Choose an answer

3525.0 volts

35.35 volts

353.5 volts

3.535 volts

Which of the following theory completely explain the three types of materials

Choose an answer

Bohr model of electron distribution

Rutherford atomic model

Pauli's exclusion principle

energy band theory

The value of the potential difference across the depletion region for the case of germanium is

Choose an answer

0.3 V

0.5 V

0.7 V

0.9 V

In an ideal gas, the molecules have:

Choose an answer

Kinetic energy only

Potential energy only

Both KE and PE

None of these

The charge carriers in an electrolyte are

Choose an answer

Positive ions

Negative ions

Either A or B

Both A and B

Neither A nor B

If the stress increased beyond the elastic limit of the material. the deformation produced in the material will be

Choose an answer

permanent

temporary

either of them

none of them

The intensity at a point due to a charge is inversely proportional to

Choose an answer

Amount of charge

Size of the charge

Distance between charge and the point

Square of the distance from the charge

None of these

Which of the following types of force can do no work on the particle on which it acts

Choose an answer

Frictional force

Gravitational force

Electric force

Centripetal force

Which quantity is important in stating the entropy of the system

Choose an answer

initial entropy

final entropy

change in entropy

none of them

In a three phase a.c generator if the first coil has a phase 0, then the other two coils will have phases

Choose an answer

90° - 120°

20° and 140°

120° and 240°

120° and 140°

A body moving with an acceleration of 5 m/sec²started with velocity of 10 m/sec. What will be the distance traversed in 10 seconds?

Choose an answer

150 m

250 m

350 m

400 m

The waves moving from a sitar to a listener in air are

Choose an answer

Longitudinal progressive

Longitudinal stationary

Transverse progressive

Transverse stationary

Where the streamlines are very far apart from each other, the pressure will be

Choose an answer

low

zero

high

all of them

The phase determines the

Choose an answer

displacement

amplitude

frequency

state of motion of vibrating body

The study of fluid in motion basically involves law of conservation of:

Choose an answer

Mass

Energy

Change

Both A and C

Both A and B

______ plays the same role during angular motion as played by the mass in linear motion

Choose an answer

Torque

Angular Momentum

Moment of a force

Moment of inertia

Addition of 2.189 kg, 11.8 kg and 5.32 kg gives the rounded off answer as:

Choose an answer

19.398

19.400

19.4

19.3

A mass spectrograph sort out

Choose an answer

molecules

atoms

elements

isotopes

Which one of the following wave motions is transverse:

Choose an answer

Wave motion produced in water when a piece of stone is thrown into it

Pulling of weight hanging vertically with a spiral spring

Both of these

None of these

The working of all DC electric meters (galvanometers, ammetersand voltmeters) depends upon

Choose an answer

Heating effect of current

Chemical effect of current

Magnetic effect of current

Electromagnetic effect of current

The gavanometer constant of a moving coil galvanometer is given by

Choose an answer

K=BAN/C

K=BN/CA

K=NAC/B

K=C/BAN

Each atom in metal crystal:

Choose an answer

Remains fixed

Vibrates about a fixed point

Moves randomly

Rotates about center of a crystal

None of these

For transmission of both transverse and longitudinal waves, we can use:

Choose an answer

Solid

Gas

Plasma

None of these

Such oscillations in which the amplitude decreases steadily with time, are called

Choose an answer

resonance

force oscillations

large oscillations

damped oscillations

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

Choose an answer

Germanium

Silicon

Copper

Lead

A cube of metal is given a positive charge Q. For the above system, which of the following statements is true?

Choose an answer

Electric potential at the surface of the cube is zero

Electric potential within the cube is zero

Electric filed is normal to the surface of the cube

Electric filed varies within the cube

An airplane is flying horizontally with a velocity of 600 km/h and at a height of 1960 m. When it is vertically above a point A on the ground, a bomb is released from it. The bomb strikes the ground, at point B. The distance AB is

Choose an answer

1200 m

0.33 km

3.33 km

33 km

The induced current in the loop can be increased by:

Choose an answer

Using a strong magnetic field

Moving the loop faster

Replacing the loop by a coil of many turns

All of above

None of these

One radian is

Choose an answer

Greater than one degree

Less than one degree

Equal to one degree

None of these

Instead of moving the coil towards a magnet, the magnet is moved towards the coil with the same speed. The galvanometer shows current:

Choose an answer

Of same magnitude in the same direction

Of different magnitude in the same direction

Of same magnitude but in opposite direction

Of different magnitude in the opposite direction

None of these

A body is executing free vibrations when it oscilates

Choose an answer

with the interference of an external force

without the interference of an external force

with the interference of an internal force

none of them

Choose an answer

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

Choose an answer

For three consecutive terms in A.P middle term is called

Choose an answer

A.M

nth term

Central term

None of these

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

Choose an answer

2 AB

2 BA

A + B

AB

Choose an answer

perpendicular vectors

concurrent vectors

parallel vectors

none of these

Choose an answer

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

Choose an answer

7 / 25

9 / 25

11 / 25

None of these

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

Choose an answer

1700

17023

17027

17010

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

Choose an answer

Irrational numbers

Even numbers

Rational numbers

Whole numbers

A sequence of number whose reciprocals form an arithmetic sequence is called

Choose an answer

Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

Choose an answer

q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

Choose an answer

1

1/2

0

None

The system of measurement in which the angle is measured in radians is called the

Choose an answer

circular system

CGS system

sexagesimal system

none of these

The constant distance of all points of the circle from its centre is called the

Choose an answer

Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

The additive identity of real number is

Choose an answer

1

2

1/2

0

Choose an answer

sin h x

cos h x

tan h x

cot h x

The magnitude of vector a 2i-7j is

Choose an answer

√23

√43

3

√53

Choose an answer

(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

2π+θwill have terminal side in Quad

Choose an answer

I

II

III

IV

There are ______ types of rational fraction

Choose an answer

Three

Four

Five

Two

Choose an answer

none of these

sin^-1 x =

Choose an answer

tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

If f(x) = tan x then f(0) is

Choose an answer

0

1

1/2

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

Choose an answer

(1,4)

(4,2)

(3,1)

(4,1)

1/3 is ______

Choose an answer

A prime number

An integer

A rational number

An irrational number

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

Choose an answer

2

-3

3

5

The point of concurrency of the right bisectors of the sides of a triangle is called

Choose an answer

incentre

circum center

e-center

centroid

Choose an answer

The set of integers is a subset of

Choose an answer

The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

f(x) = log x + 3 is a

Choose an answer

trigonometric function

algebraic function

exponential function

logarithmic function

The negation of a number

Choose an answer

a relation

a function

unary operation

binary operation

If ab > 0 and a < 0, which of the following is negative?

Choose an answer

b

-b

-a

(a - b)²

Choose an answer

c/a

-c/a

b/a

-b/a

Choose an answer

2 x 2

2 x 3

3 x 2

3 x 3

The additive inverse of a matrix A is

Choose an answer

None of these

Choose an answer

A matrix with a single row is called a

Choose an answer

Column matrix

Row matrix

Null matrix

Identity matrix

Which of the following statement is true?

Choose an answer

A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

The foot of perpendicular from (α,β,γ) only y-axis is

Choose an answer

(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

Choose an answer

5

25

3

The term independent of x is the expansion (x³+1/x)¹²

Choose an answer

295

495

395

722

Choose an answer

ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

Choose an answer

The trigonometric function are continuous whenever

Choose an answer

They are defined

their limit exist

Their period is given

All are incorrect

sin 540° =

Choose an answer

0

1

2

3

O (0,0)is called:

Choose an answer

Position vector

Free vector

Unite vector

Null vector

Choose an answer

If f(x) = x²-x then f(0) is

Choose an answer

0

1

2

3

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

Choose an answer

A.P.

G.P.

H.P.

None of these

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

Choose an answer

4

6

8

10

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

Choose an answer

X to X

X to Y

Y to X

none of these

The area of sector with central angle of 1 radians in a circular region whose radius is 2 m is

Choose an answer

(0,1) is in the solution of the inequality

Choose an answer

3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

x = secθ,y = tanθ are the parametric equations of

Choose an answer

Circle

Hyperbola

Ellipse

parabola

cos (180° -θ)=

Choose an answer

sinθ

- cosθ

- sinθ

None of above

A series consisting of an unlimited number of terms is termed as an

Choose an answer

Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

If a=5j + 2j,b=2i -3j, then|a+2b|=

Choose an answer

√21

√97

√39

None of these

The parametric equation of a curve are x = t², y = t³then

Choose an answer

The statement that a group can have more than one identity elements is

Choose an answer

True

False

Fallacious

Some times true

The graph of a quadratic function is

Choose an answer

Circle

Ellipse

Parabola

Hexagon

1 degree = _______

Choose an answer

0.00175 rad

0.175 rad

0.0175 rad

1.75 rad

Choose an answer

quadrant I

quadrant II

quadrant III

quadrant IV

Choose an answer

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

Choose an answer

2 AB

2 BA

A + B

AB

The sum of all odd numbers between 100 and 200 is

Choose an answer

6200

7500

6500

3750

The point of concurrency of the medians of a triangle is called

Choose an answer

incentre

circumcentre

e-centre

centroid

Which of the following sets is finite

Choose an answer

The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

The are of the circle centred at ( 1 , 2) and passing through ( 4 , 6) is:

Choose an answer

10π

25π

5π

25/2π

The parabola y²= x is symmetric about

Choose an answer

x-axis

y-axis

Both x and y-axis

The line y = x

Choose an answer

If sin x + sin²x = 1, then the value of Cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x + 2 cos⁴x + cos²x-2 is equal to

Choose an answer

0

1

2

sin²x

Choose an answer

additive property

multiplicative property

additive inverse

additive identity

The number of subset of {0} is

Choose an answer

1

2

3

None

A circle passing through the vertices of any triangle is called

Choose an answer

Circumcirle

Incircle

Escribed circle

Unit circle

Choose an answer

5

15

10

20