Question # 1

The magnitude of resultant of three vectors is 3. Its x-component is one, y-component is two, then its z-component is:

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0

1

2

3

The velocity gained by the fluid in falling through the distance (h_{1 - h}_{2) under the action of gravity is equal to the speed of the action of gravity is equal to the speed of the}

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orifices

efflux

fluid

none of them

The work done by a force, keeping an object in circular motion with constant speed is:

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Zero J

1 J

0.1 J

0.01 J

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 %

Every crystalline solid has

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definite melting point

different melting points

may or may not be definite

none of them

When there is no relative motion between the magnet and coil, the galvanometer indicates:

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No current in circuit

An increasing current

A decreasing current

Either B or C

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

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photo diode

light emitting diode

photo voltaic cell

none of these

Which one the following gives three regions of electromagnetic spectrum in order of increasing wavelength?

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Gamma rays, micro waves, visible light

Radio waves, ultraviolet waves, X-rays

Ultraviolet rays, infrared rays, micro waves

Visible light, gamma rays, radio waves

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)

The number of countries who manage the largest satellite system is:

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3

24

126

200

The statement "the electric force of repulsion or attraction between two point charges is directly proportional to the product of the charges and inversely proportional to square of the distance between them" refer to

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Coulomb's law

Gauss's law

Biot-Sarwat law

Ampere's law

The rear wheels of an automobile are rev/sec which is reduced to 38 rad/sec in 5 seconds when brakes are applied. Its angular acceleration is:

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5 rad/sec²

-10 rav/sec²

-10 rad/sec²

-5 rav/sec²

Three quarks make:

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An electron

A meson

A baryon

A photon

None of these

The ratio of shearing stress/shearing strain is called as

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Modulus

Pascal modulus

Hooker's modulus

Shear modulus

Lens's law deals with the

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Magnitude of induced current

Magnitude of induced e.m.f

Direction of induced e.m.f

Direction of induced current

At high speed, fluid friction _____ and fuel consumption ___,:

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Increases, decreases

Increases, increases

Decreases, increases

None of these

The ideal gas law is

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P = nRT

V = nRT

PV =RT

PV =nRT

A heater coil rated at (1000 W - 200 V) is connected to 110 volt line. What will be the power consumed?

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200 W

302.5

250 W

350 W

The vibratory motion of a body whose magnitude of acceleration is directly proportional to the magnitude of its displacement and is always directed towards the equilibrium position is called

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rotatory motion

motion under gravity

angular motion

simple harmonic motion

Resistor is a device which convert electric energy to

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Heat energy

Chemical energy

Elastic energy

All of the above

Swimming is based on the principle of

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Newton's 1st law

Newton's 2nd law

Newton's 3rd law

All

The He-Ne laser discharge tube is filled with:

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85% He

15% He

50% He

60% He

85% Ne

The magnitude of induced emf depends upon the:

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Rate of decrease of magnetic field

Rate of change of magnetic field

Rate of increase of magnetic flux

Constancy of magnetic field

None of these

For the normal operation of the transistor, its

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emitter-base and collector base junctions are forward biased

emitter-base junction is reversed biased and collector base junction is forward biased

emitter-base junction is forward biased and collector-base junction is reverse biased

any one of these

The linear momentum of the body is defined as

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p=ma

p=1/2ma

p=mv

p=1/2mv

When each particle of the fluid moves along a smoth path, this path is known as

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straight path

smooth path

haphazard path

steamline

Electrons of an isolated atom are bound to the nucleus, and

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can only have distinct energy level

can only have same energy level

may or may not have distinct energy levels

none of these

The smooth or steady stream-line flow is know as

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Laminar flow

Turbulent flow

Both a and b

None of the above

Electromagnetic radiation or photons interact with matter in

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two distinct ways

three distinct ways

four distinct ways

five distinct ways

The unit of intensity of electric field is

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newton/coluomb

jule/coluomb

volt x metre

newton/metre

When brakes are applied to a fast moving car, the passenger will be thrown:

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Forward

Backward

Downward

none of these

Work done in lower and bucket into the well is:

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Zero

Positive

Negative

None of these

The electric flux is linked with a surface will be maximum when

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The surface is held parallel to the electric field

The surface is held perpendicular to the electric field

The surface makes an angle of 45° with the electric field

All of the above

Magnetic effect of current is used:

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In electric motor

To detect current

To measure current

All of these

None of these

Ohm's law states that

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The current through a resistor is directly proportional to the applied voltage

The voltage across a resistor is directly proportional to the current passing through it

Resistance is the constant of proportionality between the voltage and current

all of these

Any superconductor with critical temperature above 77 K, is referred as

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low temperature superconductor

high temperature superconductor

very low temperature superconductor

none of them

When platinum wire is heated, then at the temperature of 500 ^oC, it becomes:

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Yellow

Orange red

Dull red

White

Cherry red

Resistance of a conductor depends upon

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the quantity of current passing through it

the voltage applied between its end

its dimensions, physical state and nature of its material

all of the above

Which is modified form of galvanometer

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potentiometer

battery

voltmeter

slide wire bridge

If a 40 watt light bulb burns for 2 hours. how much heat is generated

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288 x 10³J

288 x 10⁸J

288 x 10⁵J

288 x 10⁶J

An example of photoconductor is:

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Boron

Carbon

Iron

Aluminum

Selenium

A field in which the work done in moving a body along closed path is zero is called

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Nuclear Field

Conservative field

Gravitational field

Non-conservative field

The effect of friction between different layers of a flowing fluid is described in terms of

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motion of fluid

nature of fluid

colour of fluid

viscosity of fluid

A charge of 0.1 c accelerated through a potential difference of 1000V acquires kinetic energy

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200 J

100 J

1000 J

400 J

The doped semi-conductor materials are known as

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intrinsic semi-conductor

extrinsic semi-conductor

either of them

none of them

In bringing an electron towards another electron, electrostatic potential energy of system

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Decreases

Increases

Remains uncharged

Becomes zero

The energy stored int he water of the dam is:

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Electric energy

Kinetic energy

Potential energy

None of these

The vibratory or oscillatory motion of a body is

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translatory motion

back and forth motion about its mean position

free all motion

circular motion

Silicon can be obtained from

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Lead

Uranium

An isotope of oxygen

Sand

The SI unit of flux density is

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Newton/Amp-meter

Newton-m/Ampere

Newton-m/Amp²

Newton-Amp/meter

When a conductor is moved across a magnetic field, the redistribution of charge sets up:

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Magnetic field

Electrostatic field

Electromagnetic field

All of these

None of these

An emf is set up in a conductor when it

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Is kept in a magnetic field

Is kept in an electric field

Moves across a magnetic field

Both A and B

None of these

If a force of 0.05 N produces an elongation of 20 mm in string, then its spring constant will be:

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250 N m^-1

25 N m^-1

2.5 N m^-1

None of these

The phenomenon of generation of induced emf is called

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Electrostatic induction

Magnetic induction

Electromagnetic induction

Electric induction

Both (A) and (D)

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

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very small energy

very large energy

frictional forces

acceleration due to gravity

A man sitting in a bus travelling in a direction from west to east with a speed of 40 km/h observes that the rain drops are falling vertically down. To the another man standing on ground the rain will appear

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To fall vertically down

To fall at an angle going from west to east

To fall at an angle going from east to west

The information given is insufficient to decide the direction of rain

The waveform of alternating voltage is a:

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Square

Rectangular

Saw-tooth

Sinusoidal

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

Aluminum is a:

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Good insulator

Bad conductor

Both (A) and (B)

Excellent conductor

Semiconductor

Distance covered by a freely falling body in 2 sec will be

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4.9 m

19.6 m

29.2 m

44.1 m

The speed of the secondary wavelets as mentioned in Huygen's principle is _____ the speed of propagation of the wave itself.

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Equal to

Greater than

Smaller than

None of these

A body moves a distance of 10 m along a straight line under the action of a force of 5 N and work done in 25J. The angle which the force makes with the direction of motion will be

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60°

90°

30°

0°

The closed loop gain of the non-inverting amplifier is given by

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G = R₂/R₁

G = -R₂/R₁

G = 1 - R₂/R₁

G = 1 + T₂/R₁

The resistance of the given conductor can be increased by

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Increasing the area

Changing resistivity

Decreasing the length

None of the above because change does not matter because in any case the volume remains the same

Light has:

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Wave nature

Particle nature

Dual nature

None of these

Which of the following is not thermo dynamical function?

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Enthalpy

Work done

Gibb's energy

Internal energy

An alpha particle has a charge of

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+2e

-2e

-e

+3e

Tick the series which lie/s in. the infra-red region.

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Pfund series

Brackett series

Paschen series

All of these

None of these

Bodies failing freely under gravity provide good example of motion under

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non-uniform acceleration

uniform acceleration

variable acceleration

increasing acceleration

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

Back emf is produced due to

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Self induction

Mutual induction

A.C

Lenz's law

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

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19.398

19.400

19.4

19.3

An object moving through a fluid experiences a retarding force called a

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frictional force

terminal force

opposing force

drag force

If both the inputs given to a gate ae 1 such that the output is 0, then it is:

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AND gate

NOR gate

OR gate

NOT gate

Both (A) and (C)

Current, voltage, resistance measuring circuit is connected with the galvanometer with the help of switch, known as

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ON switch

off switch

function switch

none of these

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

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Positrons

Positive charges

Negative charges

Both (A) and (C)

None of these

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

When a wave is travels from one place to another, it transfers:

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Matter

Energy

Momentum

Both B and C

The force of repulsion between two point charges is F, when these are at a distance 0.1 m apart. Now the point charges are replaced by sphere of radii 5 cm each having the same charge as that of the respective point charges. The distance between their centre is again kept 0.1 m ; then the force of repulsion will

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Increase

Decrease

Remain F

Become 10F/9

An vector of 10 N makes an angle of 45° with x-axis. Angle between its rectangular components with be:

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45°

90°

135°

Zero

Electric flux is defined by the relation

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E.A.

E x A

E/A

none of these

(CRO) Cathode ray oscilloscope is a device used for high speed

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velocity

graph plotting

time-velocity

none of these

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K/6

2K

3K

6K

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(a + b)c = a . c + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b+ c) = ab + ac

In R the right cancellation property w.r.t. addition is

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The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

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Every real number is

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A complex number

A rational number

A natural number

A prime number

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sin²αcos²α=

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-1

0

1

None of these

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

The polar form of complex number x ≠ I y =

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r cos θ+ r sin θ

r cos θ+ is sin θ

cos θ+ r sin θ

i cos θ+ i sin θ

A relation in which the equality is true only for some values of the unknown is called

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An identity

An equation

A polynomial

None

∛8.6 is approximately equal to

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2.488

2.48

2.0488

2.05

sin 2 α=

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If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

3x + 4 < 0 is

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not inequality

equation

identity

inequality

Through how many radians does the hour hand of a clock turn in one hour

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A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

Zero is

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An irrational number

A rational number

A negative integer

A positive number

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In(x²- x + 1) + c

In(2x - 1) + c

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Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

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1

-1

The maximum value of sinθcosθis

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1

1/2

1/4

1/6

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

Choose an answer

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

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

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0

1

2

Infinite

Choose an answer

Closure law of addition

Closure law of multiplication

Commutative law of addition

Commutative law of multiplication

The last term of (1+2x)-2

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(-1)-2 (2x)-2

(-1)-4(-2x)-2

(-1)-3(2x)-3

Does not exist

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

5x³+ 3x - is a ______

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Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree 1

Polynomial of degree 0

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1/3

1

3

None of these

The common point to four standard parabolas

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Focus

Centre

Vertex

P(x,y)

H.M. between 3 and 7 is

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if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

A key ring is an example of

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Permutation

Circular permutation

Combination

None

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

For all points (x,y) on x-axis

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x is positive

x is negative

y = 0

y is negative

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

Geometric mean between a and b is

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If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

Choose an answer

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

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There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x + 1

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

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Definite integral

Indefinite integral

Integral

Area

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

The general equation of a circle is

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A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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

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1700

17023

17027

17010

Tan 180° = ______

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-1

0

1

Undefined

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Parametric equation of circle : x²+y²+r², are

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r1 = x cos𝜽 r² = y sin𝜽

x = r cos𝜽 y = r sin𝜽

x = r sin𝜽1 y = r sin𝜽2

x = r₁ cos𝜽 y = r_{2 sin𝜽}

The angles with some initial and terminal sides are called

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Quadrantal angles

Coterminal angles

Allied angles

None

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0

-4

none of these

Choose an answer

1

0

-2

3

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is