Question # 1

The projectile attains maximum horizontal range when it is projected at an angle of

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30°

45°

60°

75°

X-rays can penetrate in a solid matte through a distance of several:

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Kilo metres

Metres

Centimeters

A few angstroms

One micrometer

Silicon can be obtained from

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Lead

Uranium

An isotope of oxygen

Sand

The basic circuit element in a d.c. circuit is a/an

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Inductor

Resistor

Capacitor

Battery

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

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a circular path

a straight line

a hyperbola

a parabola

The 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

Wave length of that color as compared to that of violet color is:

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Smaller

Longer

Equal

None of these

When either L or C is increased, the resonant frequency of the RLC series circuit

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Increases

Decreases

Remains the same

Becomes zero

The general theory of relativity treats problems involving

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inertial frame of references

accelerating frame of references

both of these

none of these

In the case of an incompressible fluid in stead flow the net rate of flow of mass entering one end of the tube of flow is equal to the net rate of flow of mass leaving the other end. This equation is called

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Quadratic equation

Equation of discontinuity

Equation of continuity

None of the above

The pattern of crystalline solid is:

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One dimesional

Two dimensional

Three dimensional

Either (A) or (B)

None of these

A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is

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Charge Q

Potential V

Capacity

Energy U

Physical quantities are often divided into ______ categories

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3

2

9

5

Zirconia is classified as:

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Ceramic solid

Ionic compound

Metal

Either (A) or (B)

Either (B) or (C)

The work is stored in the inductor as

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Electric potential energy

Elastic potential energy

Magnetic energy

Absolute potential energy

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

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

Significant figures in 0.0010 are:

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Four

Three

Two

One

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

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Zero

Positive

Negative

Infinity

A charge Q is divided into two parts q and Q - q and separated by a distance R. The force of repulsion between them will be maximum when

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q = Q/4

q = Q/2

q = !

None of these

If a liquid is heated in weightlessness, the heat is transmitted through

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Conduction

Convection

Radiation

Neither, because the liquid cannot be heated in weightlessness

It two waves of amplitude 'a' produce a resultant wave of amplitude a, then the phase difference between them will be

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60°

90°

120°

180°

The curve representing an adiabatic process is called

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isotherm

adiabat

adiable

none of them

Heating effect of current utilized in:

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Electric motor

Electric toaster

Electroplating

Electric kettle

Both (B) and (D)

The number of vibrating body at any instant from its equilibrium position is called

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displacement

frequency

amplitude

time period

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

Xerography means:

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Dry writing

Wet writing

Poor writing

Excellent writing

Both (A) and (B)

The electrode connected with the positive terminal of the current source is called

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cathode

anode

electrolyte

position

To design a resonant circuit of frequency 100 KHz with an inductor of inductance 5 mH, we need a capacitor of capacitance

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5.07 pF

50 pF

0.507 pF

507 pF

Fraction of the decaying atoms per unit time is called

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decay atom

decay element

decay constant

decay

A black body is

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an ideal absorber

an ideal radiator

both of them

none of them

Newton published laws of motion in his famous book "principia" in

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1867

1667

1676

1687

Electrostatics is the branch of physics which deals with the study of electro charges:

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At rest

At rest under the action of electric forces

In motion under the action of electric forces

In motion

At rest under the action of nuclear forces

A certain force gives an acceleration of 2 m/sec²to a body mass 5 kg. The same force would give a 20 kg object an acceleration of:

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0.5 m/sec²

5 m/sec²

1.5 m/sec²

9.8 m/sec²

In a normal healthy person the value of systolic pressure is

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75 torr

80 torr

120 torr

all of them

In the equilibrium state, the potential difference between two ends of the conductor moving across a magnetic field is called:

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Motion emf

Electrostatic emf

Induced emf

Both A and B

Both A and C

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?

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150 m

250 m

350 m

400 m

For a fixed force, larger is the mass of a body the

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greater is its acceleration

smaller is its acceleration

smaller is its weight

zero is its acceleration

Referring to above figure, current in coil P falls from its maximum value to zero:

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At the instant the switch is closed

At the instant the switch is opened

When switch is kept open

When switch is kept closed

None of these

In a _____ flow, each particle of the fluid is called a streamline and different streamlines ______cross each other.

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Streamline, cannot

Turbulent, cannot

Streamline, can

None of these

1 gm-cm^-3is equal to

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10³kg-m^-3

10^-3kg-m^-3

1kg-m^-3

10⁶kg-m^-1

When angular acceleration is positive, the body rotates:

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Slower

Slowest

Faster

None of these

Intensity of light determines the:

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Energy of each photon

Number of photons

Speed of photons

Size of photons

None of these

Since the absolute scale is independent of the property of the working substance, hence, can be applied at

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very high temperature

very low temperature

any one of them

none of them

The phase angle of a series RLC circuit at resonance is

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180°

90°

0°

None of the these

Vibratory motion is always under

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Applied force

Restoring force

Periodic force

Gravitational force

Light year is a unit of:

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Time

Distance

Velocity

Intensity of light

In describing functions of digital systems, a closed switch will be shown as

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0

1

low

any one of these

In case of metallic conductors, the change carries are:

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Protons

Electrons

Antiprotons

Positrons

Both (A) and (B)

The transitions of electrons in the hydrogen atom result in the emission of spectral lies in the:

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Ultra red region

Visible region

Ultraviolet region

Any of these

None of these

The device which can convert heat energy into electrical energy is called:

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Thermistor

Thermometer

Thermostat

Thermocouple

Both (C) and (D)

The positron was discovered by:

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In cosmic radiation

In 1932

By Carl Anderson

All above

By direc

The nucleous of uranium -235 differs from a nucleous of a uranium -238 in that the later contains

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3 more neutrons

3 more electrons

3 more protons

3 more ions

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

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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)

Moment of linear momentum is called.

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Moment arm

Moment of inertia

Inertia

Angular momentum

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

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Mechanical waves

Electromagnetic waves

Any of them

None of them

The graph showing the variation of displacement with time is a

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Sine curve

Straight line

Parabola

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

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

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Positive

Negative

Zero

Infinity

The time period of pendulums of different lengths would be

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same

different

both of them

none of them

The magnitude of the displacement is a line from initial position to final position which is

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straight

curved

either be curved or straight

none of them

Einstein's theory about gravity if better than Newton's because it gave explanation of:

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Inverse square law

Bending of light

Both A and B

None of above

Braking radiation causes:

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Continuous spectrum

Line Spectrum

Band spectrum

Discrete specturm

All of these

The unit of spring constant is:

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J-sec

Metre

Nm^-1

None of these

Which one of the following can act approximately as a source of monochromatic light;

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Neon lamp

Fluorescent tube

Sodium lamp

None of these

Distance to nearest galaxy from earth is

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10¹⁰m

10¹⁵m

10⁴⁰m

10³⁰m

During the free fall motion of an object, when its weight becomes equal to the drag force, then it will move with

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maximum speed

zero speed

maximum speed

none of them

Example of progressive wave is

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transverse waves

longitudinal waves

both of them

none of them

A proton is about 1840 times heavier than an electron. When it is accelerated by a potential difference of 1 KV, its kinetic energy will be

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1840 KeV

1/1840 KeV

1 KeV

920 KeV

A stationary sound wave has frequency 165 Hz (speed of sound in air = 330 m/s) then distance between two consecutive nodes is

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2 m

1 m

0.5 m

4 m

In deriving the Bernoulli's equation, we assume that the fluid is

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incompressible

no viscous

flows in a steady manner

all of them

The center of mass of a sphere lies at:

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The axis of the sphere

Circumference of sphere

Center of the sphere

None of them

The ohm's is defined as

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1 ampere / 1 volts

1 coulomb / 1 volt

1 volt / 1 ampere

1 volt / 1 coulomb

The electric intensity outside the two oppositely charged parallel metal plates is

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Maximum

Minimum

Zero

Infinite

Frequency of red color as compared to that of violet color is:

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Equal

Smaller

Greater

None of these

Two vectors having different magnitudes:

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Have their directions opposite

May have their resultant zero

Cannot have their resultant zero

None of these

An A.C. voltage is applied across the inductor. When the frequency of the voltage is increased, the current

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Decreases

Increases

Does not change

Momentarily goes to zero

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

Centripetal acceleration is also called ______ acceleration

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Tangential

Radial

Angular

None of them

If we plot graph between potential difference (V) and current (I) obeying ohm's law, it will give us

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parabola

straight line

hyper bola

ellipse

The value of the Stephen's constant for black body radiations is given by

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5.6 x 10⁸Wm^-2K^-4

5.67 x 10^-8Wm^-2K^-4

2.9 x 10^-3mK

2.9 x 10³mK

A particle having mass and charge equal to that of an electron is called:

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Proton

Positron

Pion

Pi-meson

Both (C) and (D)

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

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1

-1

-1/2

1/2

Choose an answer

The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

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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

Choose an answer

Which of the following integrals can be evaluated

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

(a, b) + (-a, -b) =

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(0,0)

(a, b)

(-a, -b)

(1, 1)

Choose an answer

none of these

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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n if n is even

0 for any natural number n

1 if in odd

None of these

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If f(x) = x²- x then f(-2) is

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4

6

2

0

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

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2

1

5

0

cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

Choose an answer

sin h x

cos h x

tan h x

cot h x

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

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2

6

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

Cos 60° = ______

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1

2

1/2

3

3j . k x i

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0

1

3

9

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

The domain of the function y = sin x , is

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-π/2≤ x≤ π/2

π/ ≤ x≤ π

-2π ≤ x≤ 2π

-1 ≤ x≤ 1

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c = 0

c = -1

c = -2

c = 1

Three right angles is the angle of measure

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270°

180°

90°

270'

Choose an answer

No solution

One real solution

Choose an answer

2

-1

8

not defined

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

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circular system

CGS system

sexagesimal system

none of these

The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

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If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

Choose an answer

a constant function

linear function

quadratic funtion

none of these

Choose an answer

2x + 3

x²+ 3 + c

Choose an answer

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

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If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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

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Interesect

touch externally

touch internally

do not touch

Domain of tan x is ______

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2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

Choose an answer

A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is