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Physics Unit-3 Test

Total questions: 40

Worksheet time: 1hrs 2mins

Name
Class
Date
1.

For a small θ, angular displacement is quantity

a)

Scalar   

b)

Neither scalar nor vector

c)

Vector    

d)

None

2.

In circular motion, if the angular velocity and angular acceleration becomes parallel, then the motion becomes:

a)

Slower  

b)

Constant

c)

Faster

d)

Both ‘A’ and ‘C’

3.

A child riding on a large merry-go-round, travels a distance of 3000m in a circle of diameter 40m. The total angle through which child revolves is:

a)

50 rad

b)

75 rad

c)

150 rad

d)

314 rad

4.

A body moves in a circle with increasing angular velocity. At time t= 6sec, the angular velocity is 27rad/s. What is the radius of circle made by the body where linear velocity is 81cm/s?

a)

6cm 

b)

9cm

c)

3cm

d)

7cm

5.

A particle of mass m is moving in a horizontal circle of radius R with a uniform speed. When it moves to a point diametrically opposite then

a)

K.E. changes by mv2 /4   

b)

Momentum does not change

c)

Momentum changes by -2 mv  

d)

K.E. changes by mv2

6.

A particle of mass 2 kg is moving along a circular path of radius 1 m. if its angular speed is 2π rad s–1, the centripetal force on it is:

a)

4π N   

b)

8π N

c)

4π4 N  

d)

8π2 N

7.

In circular motion, the radius vector

a)

Changes in direction but has a fixed magnitude

b)

Has constant magnitude and direction

c)

Changes in magnitude only

d)

Changes in magnitude as well as direction

8.

The angular displacement covered by a body in the following graph is

a)

40 rev

b)

20 rev

c)

30 rad 

d)

40 rad

9.

A car is moving with high velocity when it has a turn. A force acts on it outwardly because of

a)

Gravitational force 

b)

Centrifugal force

c)

Centripetal force

d)

All of these

10.

All particles of a rigid body rotating about a fixed axis may not have same

a)

Angular displacement

b)

Speed

c)

Direction of angular velocity

d)

Axis of rotation

11.

The angular displacement made by the minute hand of a watch after 6.0 minutes is

a)

180o  

b)

36o

c)

120o

d)

360o

12.

A stone tied to a string is rotated in a circle. If the string is cut, the stone flies away from the circle because

a)

A centripetal force acts on the stone 

b)

Reaction of the centripetal force

c)

A centrifugal force acts on the stone   

d)

Of its inertia

13.

Centripetal force may be equal to

a)

mv2/r

b)

pv/r

c)

p2/mr   

d)

All of these

14.

The direction of linear velocity of body moving in a circle is

a)

Along the axis of rotation 

b)

Directed towards the center

c)

Along the tangent   

d)

Directed away from the center

15.

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

a)

The velocity vector is tangent to the circle

b)

The acceleration vector is tangent to the circle

c)

The acceleration vector points to the center of the circle  

d)

The velocity and acceleration vectors are perpendicular to each other

16.

The angle subtended by an arc equal to radius is

a)

1 rad  

b)

1 Revolution

c)

One degree

d)

All of these

17.

A wheel of radius 2 m turns through an angle of 57.3°. It lays out a tangential distance:

a)

2m

b)

4m

c)

57.3m 

d)

114.6m

18.

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion takes place in a plane. It follows that

a)

Its velocity is constant

b)

Its acceleration is constant

c)

Its motion is linear

d)

Its motion is circular

19.

The angular speed in radians/hours for daily rotation of our earth is

a)

2π

b)

4π

c)

π/6

d)

π/12

20.

A wheel rotates about an axis passing through the center and perpendicular to the plane with slowly increasing angular speed. Then it has

a)

Radial velocity and radial acceleration

b)

Tangential velocity and radial acceleration

c)

Tangential velocity and tangential acceleration

d)

Tangential velocity but acceleration having both components

21.

A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is

a)

Quadrupled  

b)

Halved

c)

Unchanged 

d)

Doubled

22.

When the body speeds up, the angle between angular velocity & angular acceleration is

a)

30o

b)

45o

c)

90o

d)

0o

23.

A body is rotating in a vertical circle by a string. The tension in the string is maximum at the

a)

Top   

b)

Bottom

c)

Midway between top and bottom  

d)

Remains same

24.

A body is revolving with a constant speed along a circle. If its direction of motion is reversed but the speed remains the same, then which of the following statement is true?

a)

The centripetal force will not suffer any change in magnitude

b)

The centripetal force will have its direction reversed

c)

The centripetal force will not suffer any change in direction

d)

Both A and C

25.

A string breaks if its tension exceeds 10 N. A stone of mass 250 g tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be:

a)

100 rad s-1    

b)

40 rad s-1

c)

20 rad s-1    

d)

200 rad s-1

26.

Two cars of masses m1 and m2 are moving along the circular path of radius r1 and r2 They take one round in the same time. The ratio of angular velocity of the two cars will be:

a)

m1:m 2   

b)

1:1

c)

r1:r2   

d)

m1r1:m2r2

27.

A centripetal force  acts on a body moving with angular speed . If the angular speed is tripled, then the magnitude of centripetal force becomes:

a)

8 F

b)

9 F

c)

2 F

d)

4 F

28.

The angular velocity of a wheel increases from 1200 rpm  to 4500 rpm  in 10 sec . The number of revolutions made during this time is:

a)

950

b)

475

c)

118.75

d)

237.5

29.

When a body moves in a circle then its linear velocity  & angular velocity  are related as:

a)

v→=ω→×r→\overrightarrow{v}=\overrightarrow{\omega}\times\overrightarrow{r}  

b)

v→=r→×ω→\overrightarrow{v}=\overrightarrow{r}\times\overrightarrow{\omega}  

c)

ω→=v→×r→\overrightarrow{\omega}=\overrightarrow{v}\times\overrightarrow{r}  

d)

ω→=r→×v→\overrightarrow{\omega}=\overrightarrow{r}\times\overrightarrow{v}  

30.

The centripetal force required to keep the body in circular path is . What would be centripetal force if radius becomes double keeping same angular velocity:

a)

2F1

b)

4F1

c)

F1/2

d)

F1/4

31.

If we whirl a stone at the end of a string in the vertical circle, the string is likely to break when the stone is:

a)

At the highest point 

b)

At the lowest point 

c)

At any point during motion

d)

At the point where gravity is not acting

32.

The change in K.E by centripetal force is:

a)

Positive maximum

b)

Negative maximum 

c)

Zero

d)

Can't be predicted

33.

Which of the following best represents the uniform circular motion?

a)

ac = 0,at = 0,α = o

b)

ac ≠ 0, at = α = 0

c)

ac ≠ 0, at ≠ α = 0

d)

ac ≠ 0, at ≠ α ≠ 0

34.

The instantaneous acceleration of an object travelling with uniform speed in a circle is directed towards the center of circle and is called

a)

Gravitational acceleration  

b)

Centripetal acceleration

c)

Centrifugal acceleration

d)

Tangential acceleration

35.

The minute hand of a large clock is  long. What is its mean angular speed when it moves for 30 minutes?

a)

1.7xl0-3 rads-1

b)

10-4 rad s-1

c)

5.2x10-3rad s-1

d)

3.0x10-3 rad s-1

36.

In case of planets the necessary centripetal force is provided by:

a)

Gravitational force

b)

Coulomb force

c)

Frictional force

d)

Nuclear force

37.

The number of revolutions in 40π radians are:

a)

10    

b)

15

c)

20

d)

2.5

38.

The two times of the circumference subtends an angle:

a)

5π radian

b)

10π radian

c)

2π radian

d)

4π radian

39.

A body rotates with uniform speed in a circle of radius "r" and takes time "2T" to complete two revolutions. What are the magnitudes of angular velocity "ω", linear velocity "v"  and acceleration "a"?

a)

A

b)

B

c)

C

d)

D

40.

What is the angular velocity of a particle when its frequency is 50 Hz?

a)

312 rad s-1

b)

314 rad s-1

c)

628 rad s-1

d)

942 rad s-1

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