If the length and time period of an oscillating pendulum have errors of 1% and 3% respectively then the error in measurement of acceleration due to gravity is

(a)

4%

(b)

5%

(c)

6%

(d)

7%

If a circle with 10 m radius and angle 60° at centre, then what will be the length of arc?

(a)

5.24 m

(b)

6.21 m

(c)

7.1 mm

(d)

10 m

A ball is projected vertically upwards with a velocity v. It comes back to ground in time t. Which v-t graph shows the motion correctly?

(a)

(b)

(c)

(d)

Which of the following graph represents the equation y = mx + C?

(a)

(b)

(c)

(d)

Two blocks of masses m and 2m are placed on a smooth horizontal surface as shown. In the first case only a force F₁ is applied from the left. Later only a force F₂ is applied from the right. If the force acting at the interface of the two blocks in the two cases is same, then F₁ :F₂ is

(a)

1:1

(b)

1:2

(c)

2:1

(d)

1:3

A car when passes through a bridge exerts a force on it which is equal to _____________.

(a)

\(mg+\frac { { Mv }^{ 2 } }{ r } \)

(b)

\(\frac { { Mv }^{ 2 } }{ r } \)

(c)

\(mg-\frac { { Mv }^{ 2 } }{ r } \)

(d)

none

In a rocket, the fuel burns at the rate of 1 kg s^-1. This fuel burnt eject gases at a speed of 90 km s^-1. The force exerted on the rocket is, ________________.

(a)

45000 N

(b)

90000 N

(c)

60000 N

(d)

10000 N

A person sitting in an open car moving at constant velocity throws a ball vertically into air, the ball falls ______________.

(a)

exactly in the hand of thrower

(b)

outside the car

(c)

in the car ahead of the person

(d)

in the car behind the person

Inertia is that property of a body by virtue of which the body is ____________.

(a)

unable to change by itself the state o frest

(b)

unable to change by itself the state of uniform motion

(c)

unable to change by itself the direction of motion

(d)

unable to change by itself the state of rest and ofunifonn linear motion

Which of the following force tends to stopthe moving object?

(a)

Frictional force

(b)

Magnetic force

(c)

Gravitational force

(d)

Electric force

For a car not to turn safely on a curved road _________________.

(a)

speed is slow

(b)

distance between tyres is large

(c)

centre of gravity for car is low

(d)

low friction force

A body is moving with a constant speed v in a circle of radius r. Its angular acceleration is ______________.

(a)

vr

(b)

\(\frac { v }{ r } \)

(c)

zero

(d)

\(\frac { v }{ { r }^{ 2 } } \)

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms^-1 and the second part of mass 2 kg moves with 8 ms^-1 speed. If the third part flies off with 4 ms^-1 speed, then its mass is ____________.

(a)

7 kg

(b)

17 kg

(c)

3 kg

(d)

5 kg

The work done by the conservative force for a closed path is

(a)

always negative

(b)

zero

(c)

always positive

(d)

not defined

A rigid body rotates with an angular momentum L. If its kinetic energy is halved, the angular momentum becomes,

(a)

L

(b)

L/2

(c)

2L

(d)

L/\(\sqrt{2}\)

The moment of inertia of a body about a given axis is 1.2 kgm². Initially, the body is at rest. In order to produce a rotational kinetic energy of 1500 joule, an angular acceleration 25 radian/sec² must be applied about that axis lor a duration of ____________.

(a)

4 s

(b)

2 s

(c)

8 s

(d)

10 s

Which of the following example does not constitute a couple?

(a)

steering a car

(b)

turning a pen cap

(c)

ball rolls on the floor

(d)

closing the door

The gravitational potential energy of the Moon with respect to Earth is

(a)

always positive

(b)

always negative

(c)

can be positive or negative

(d)

always zero

Energy required to move a body of mass 'M' from an orbit of radius 2R to 3R is =_________ 

(a)

\(\frac{GM}{12R}\)

(b)

\(\frac{GMm}{3R^2}\)

(c)

\(\frac{GMm}{8R}\)

(d)

\(\frac{GMm}{6R}\)

An artificial satellite is revolving round the Earth in a circular orbit, its velocity is half the eacape velocity. Its height from the Earth surface is _________ km.

(a)

6400

(b)

12800

(c)

3200

(d)

1600

A satellite is moving around the Earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1% its speed will _______.

(a)

increase by 1%

(b)

increase by 0.5%

(c)

decrease by 1%

(d)

decrease by 0.5%

If a liquid wets a solid surface, the angle of contact is _________.

(a)

0°

(b)

90°

(c)

less than°

(d)

greater than 90°

When you exercise in the morning, by considering your body as thermodynamic system, which of the following is true?

(a)

ΔU > 0, W > 0,

(b)

ΔU < 0, W > 0,

(c)

ΔU < 0, W < 0,

(d)

ΔU = 0, W > 0,

If the temperature and pressure of a gas is doubled the mean free path of the gas molecules

(a)

remains same

(b)

doubled

(c)

tripled

(d)

quadrapoled

Pressure exerted by a gas is _______.

(a)

independent of the density of the gas

(b)

inversely proportional to the density of the gas

(c)

directly proportional to the density of the gas

(d)

directly proportional to the square of the density of the gas