d) 12 : 1
Circular Motion 8) The ratio of the angular speed of the minute hand
1) In a uniform circular motion, the direction of of a clock to that of its hour hand is
linear velocity is along the a) 3600 : 1
a) Tangent to the curve path b) 60 : 1
b) Radius vector towards the centre c) 24 : 1
c) Perpendicular to the plane of the circular d) 12 : 1
motion 9) Which of the following quantities are constant for
d) Radius vector a body performing UCM?
2) A satellite of the earth is revolving round the earth a) The linear and angular velocities.
with a uniform speed ‘v’. If the gravitational force b) The linear speed and the acceleration
suddenly disappears, the satellite will c) The linear velocity and the acceleration
a) Continue to move with the velocity v along the d) The linear speed and the angular velocity
original orbit. 10) The angular speed of the wheels of a bicycle is 8π
b) Move with a velocity v, tangentially to the rad/s. Their period of rotation is
original orbit. a) 0.25 s
c) Fall down with increasing velocity b) 0.4 s
d) Ultimately come to rest somewhere on the
original orbit. c) s
4
3) For a particle performing UCM, the physical d) 4s
quantities are constant 11) A particle describes a circular path of disameter 20
a) Speed and angular velocity m every 2s. the average angular speed of the
b) Kinetic energy and radius vector particle during 4s is
c) Angular velocity and Kinetic energy a) 20 rad / s
d) ‘a’ and ‘c’
b) 10 rad / s
4) In a uniform circular motion, the velocity, position
vector and angular velocity are c) 5 rad / s
a) Parallel to each other d) rad / s
b) Mutually perpendicular to each other 12) A car goes round a circular track of radius 50m
c) They are co-planer with a speed of 25 m/s. its angular speed is
d) The angle between then 450 a) 0.5 rad/s
5) Angle between radius vector and centripetal b) 2 rad/s
acceleration is c) 5 rad/s
a) 0c d) 1250 rad/s
b) c 13) A belt passes over a wheel of radius 25 cm. if a
c) 2 c point on the belt has a speed of 5 m/s, the belt is
moving with an angular velocity of
d) None of these
a) 3.2 rad/s
6) A particle is moving in a uniform circular motion
b) 0.32 rad/s
with radius ‘r’, in half revolution the displacement
c) 20 rad/s
and distance covered by the particle are
d) 0.032 rad/s
a) 2r , 2 r
14) A bicycle wheel, 80 cm in diameter, is rotating at
b) 1.414 r, 3.142r 120 rpm. The linear speed of the midpoint of a
c) 2r , r spoke is
d) r , 2r a) 80 m / s
7) The ratio of the frequencies of rotation of the hour b) 8.0 m / s
hand of a clock and the Earth is
a) 1: 12
c) 0.80 m / s
b) 1: 2 d) 0.80 m / s
c) 2:1
, 15) For a particle performing circular motion, the 21) A particle is moving in a circle of radius ‘r’ and
relation between its linear and angular velocities is centre O with constant speed. What is the change
a) v r in velocity in moving from A and B?(If the angle
between two velocity vector is )
b) v r
a) 2v sin 2 / 2
c) v r b) 2v sin / 2
d) v r c) 2v cos2 / 2
16) Two cars, A and B, take the same time to go d) 2v cos / 2
around two concentric tracks of radii R1 and R2, 22) The speed of revolution of a particle around a
respectively. The ratio of the speed of car A to that circle is halved and its angular speed is doubled
of car B is what happens to the radial acceleration?
a) 1 a) Remains unchanged
R1 b) Halved
b)
R2 c) Doubled
R2 d) Quadrupled
c) 23) The average acceleration vector for a particle
R1
having a uniform circular motion is
d) 2 a) A constant vector of magnitude v2/r
17) A particles moves in a circular path of radius 10 b) A vector of magnitude v2/r directed normal to
cm with a constant speed of 10 cm/s. its the plane
acceleration is c) Equal to the instantaneous acceleration vector
a) 100cm/s2 at the start of the motion
b) 10 cm/s2 d) A null vector
c) 1 cm/s2 24) A car is moving with speed 30 m/s on a circular
d) Zero path of radius 500 m. its speed is increasing at the
18) The linear acceleration of a body performing rate of 2m/s2 . The acceleration of car is
uniform circular motion is given by a) 9.8 m/s2
a) a r b) 1.8 m/s2
b) a r c) 2 m/s2
d) 2.7 m/s2
c) a 2 r
25) The angular speed of a particle, moving in a circle
d) a 2 r of radius 20 cm, increases from 2 rad/s to 40 rad/s
19) If a particle moves in a circular path with an in 9 s the ratio of its centripetal acceleration to
angular velocity which is uniformly changing in tangential acceleration at the end of 19 s is,
magnitude, then it has a) 400: 1
a) No centripetal acceleration b) 1: 800
b) A constant centripetal acceleration plus a c) 1:400
tangential acceleration d) 800 : 1
c) A tangential acceleration constant in 26) A sprit level is placed at the edge of a turn table
magnitude and a centripetal acceleration which along its radius. The bubble will be
changes in magnitude a) At the centre of the container
d) A constant tangential acceleration and a b) At the outer edge of the container
centripetal acceleration which increases in c) At the inner edge of the container
magnitude. d) Will oscillate about the centre of the container
20) An object moving a circle will have an angular 27) Select the wrong statement
acceleration only if the net force on it a) Centrifugal force has same magnitude as that
a) Is entirely centripetal of centripetal force
b) Has a tangential component b) Centrifugal force is along the radius, away
c) Is entirely centrifugal from the centre
d) Is entirely tangential
Circular Motion 8) The ratio of the angular speed of the minute hand
1) In a uniform circular motion, the direction of of a clock to that of its hour hand is
linear velocity is along the a) 3600 : 1
a) Tangent to the curve path b) 60 : 1
b) Radius vector towards the centre c) 24 : 1
c) Perpendicular to the plane of the circular d) 12 : 1
motion 9) Which of the following quantities are constant for
d) Radius vector a body performing UCM?
2) A satellite of the earth is revolving round the earth a) The linear and angular velocities.
with a uniform speed ‘v’. If the gravitational force b) The linear speed and the acceleration
suddenly disappears, the satellite will c) The linear velocity and the acceleration
a) Continue to move with the velocity v along the d) The linear speed and the angular velocity
original orbit. 10) The angular speed of the wheels of a bicycle is 8π
b) Move with a velocity v, tangentially to the rad/s. Their period of rotation is
original orbit. a) 0.25 s
c) Fall down with increasing velocity b) 0.4 s
d) Ultimately come to rest somewhere on the
original orbit. c) s
4
3) For a particle performing UCM, the physical d) 4s
quantities are constant 11) A particle describes a circular path of disameter 20
a) Speed and angular velocity m every 2s. the average angular speed of the
b) Kinetic energy and radius vector particle during 4s is
c) Angular velocity and Kinetic energy a) 20 rad / s
d) ‘a’ and ‘c’
b) 10 rad / s
4) In a uniform circular motion, the velocity, position
vector and angular velocity are c) 5 rad / s
a) Parallel to each other d) rad / s
b) Mutually perpendicular to each other 12) A car goes round a circular track of radius 50m
c) They are co-planer with a speed of 25 m/s. its angular speed is
d) The angle between then 450 a) 0.5 rad/s
5) Angle between radius vector and centripetal b) 2 rad/s
acceleration is c) 5 rad/s
a) 0c d) 1250 rad/s
b) c 13) A belt passes over a wheel of radius 25 cm. if a
c) 2 c point on the belt has a speed of 5 m/s, the belt is
moving with an angular velocity of
d) None of these
a) 3.2 rad/s
6) A particle is moving in a uniform circular motion
b) 0.32 rad/s
with radius ‘r’, in half revolution the displacement
c) 20 rad/s
and distance covered by the particle are
d) 0.032 rad/s
a) 2r , 2 r
14) A bicycle wheel, 80 cm in diameter, is rotating at
b) 1.414 r, 3.142r 120 rpm. The linear speed of the midpoint of a
c) 2r , r spoke is
d) r , 2r a) 80 m / s
7) The ratio of the frequencies of rotation of the hour b) 8.0 m / s
hand of a clock and the Earth is
a) 1: 12
c) 0.80 m / s
b) 1: 2 d) 0.80 m / s
c) 2:1
, 15) For a particle performing circular motion, the 21) A particle is moving in a circle of radius ‘r’ and
relation between its linear and angular velocities is centre O with constant speed. What is the change
a) v r in velocity in moving from A and B?(If the angle
between two velocity vector is )
b) v r
a) 2v sin 2 / 2
c) v r b) 2v sin / 2
d) v r c) 2v cos2 / 2
16) Two cars, A and B, take the same time to go d) 2v cos / 2
around two concentric tracks of radii R1 and R2, 22) The speed of revolution of a particle around a
respectively. The ratio of the speed of car A to that circle is halved and its angular speed is doubled
of car B is what happens to the radial acceleration?
a) 1 a) Remains unchanged
R1 b) Halved
b)
R2 c) Doubled
R2 d) Quadrupled
c) 23) The average acceleration vector for a particle
R1
having a uniform circular motion is
d) 2 a) A constant vector of magnitude v2/r
17) A particles moves in a circular path of radius 10 b) A vector of magnitude v2/r directed normal to
cm with a constant speed of 10 cm/s. its the plane
acceleration is c) Equal to the instantaneous acceleration vector
a) 100cm/s2 at the start of the motion
b) 10 cm/s2 d) A null vector
c) 1 cm/s2 24) A car is moving with speed 30 m/s on a circular
d) Zero path of radius 500 m. its speed is increasing at the
18) The linear acceleration of a body performing rate of 2m/s2 . The acceleration of car is
uniform circular motion is given by a) 9.8 m/s2
a) a r b) 1.8 m/s2
b) a r c) 2 m/s2
d) 2.7 m/s2
c) a 2 r
25) The angular speed of a particle, moving in a circle
d) a 2 r of radius 20 cm, increases from 2 rad/s to 40 rad/s
19) If a particle moves in a circular path with an in 9 s the ratio of its centripetal acceleration to
angular velocity which is uniformly changing in tangential acceleration at the end of 19 s is,
magnitude, then it has a) 400: 1
a) No centripetal acceleration b) 1: 800
b) A constant centripetal acceleration plus a c) 1:400
tangential acceleration d) 800 : 1
c) A tangential acceleration constant in 26) A sprit level is placed at the edge of a turn table
magnitude and a centripetal acceleration which along its radius. The bubble will be
changes in magnitude a) At the centre of the container
d) A constant tangential acceleration and a b) At the outer edge of the container
centripetal acceleration which increases in c) At the inner edge of the container
magnitude. d) Will oscillate about the centre of the container
20) An object moving a circle will have an angular 27) Select the wrong statement
acceleration only if the net force on it a) Centrifugal force has same magnitude as that
a) Is entirely centripetal of centripetal force
b) Has a tangential component b) Centrifugal force is along the radius, away
c) Is entirely centrifugal from the centre
d) Is entirely tangential
