Uniform circular motion - Question Bank

1. If an object moves in a circle of radius r with speed v, the angular speed ω is given by:
A) ω = v/r
B) ω = vr
C) ω = r/v
D) ω = v^2/r
2. What is the angular speed of the Earth about its own axis?
A) 2π rad/day
B) π rad/day
C) 2π rad/hour
D) π rad/hour
3. The direction of the velocity vector in uniform circular motion is always:
A) Parallel to the acceleration
B) Antiparallel to the acceleration
C) Perpendicular to the acceleration
D) At 45 degrees to the acceleration
4. An object of mass 5 kg moves in a circle of radius 2 m with a speed of 10 m/s. The centripetal force required is:
A) 25 N
B) 50 N
C) 100 N
D) 250 N
5. If the radius of the circular path is R and the angular velocity is ω, the magnitude of centripetal force on a particle of mass m is:
A) mωR
B) mω^2R
C) mR/ω^2
D) mω/R
6. Which of the following is NOT a characteristic of uniform circular motion?
A) Constant speed
B) Constant velocity
C) Centripetal acceleration
D) Constant kinetic energy
7. The condition for an object to be in uniform circular motion is that its acceleration must be:
A) Zero
B) Constant and tangential
C) Constant and directed towards the center
D) Variable and directed away from the center
8. What is the centripetal acceleration when an object completes a circle of radius 2m in 1 second?
A) 2π m/s^2
B) 4π m/s^2
C) 8π^2 m/s^2
D) 4π^2 m/s^2
9. In uniform circular motion, the angular acceleration is:
A) Constant and non-zero
B) Constant and zero
C) Variable and non-zero
D) Variable and zero
10. The rate of change of angular velocity is called:
A) Linear velocity
B) Angular acceleration
C) Centripetal acceleration
D) Tangential acceleration
11. Which quantity is conserved in uniform circular motion?
A) Linear momentum
B) Angular momentum
C) Kinetic energy
D) Both kinetic and angular momentum
12. If a particle moves in a circle of radius R with constant angular velocity ω, its linear momentum changes:
A) In magnitude but not direction
B) In direction but not magnitude
C) In both magnitude and direction
D) Neither in magnitude nor direction
13. The direction of the centripetal acceleration vector is:
A) Along the tangent, in the direction of motion
B) Along the tangent, opposite to the direction of motion
C) Radially inward
D) Radially outward
14. Which of the following is a vector quantity in uniform circular motion?
A) Speed
B) Time Period
C) Velocity
D) Angular speed
15. A particle moves on a circular path of radius R. If its speed is v, then the angle covered in time Δt is:
A) vΔt/R
B) RΔt/v
C) vRΔt
D) v/RΔt
16. The angular displacement is defined as the ratio of:
A) Arc length to radius
B) Radius to arc length
C) Linear velocity to radius
D) Radius to linear velocity
17. If the mass of the object in uniform circular motion increases, while speed and radius remain constant, the centripetal force:
A) Increases
B) Decreases
C) Remains the same
D) Becomes zero
18. What happens to the time period if the frequency of uniform circular motion is doubled?
A) It doubles
B) It halves
C) It remains the same
D) It becomes four times
19. A body moves in a circle of radius 0.5 m with a constant angular velocity of 4 rad/s. The centripetal acceleration is:
A) 2 m/s^2
B) 4 m/s^2
C) 8 m/s^2
D) 16 m/s^2
20. The centripetal acceleration is inversely proportional to:
A) Speed
B) Square of speed
C) Radius
D) Square of radius
21. The centripetal acceleration is proportional to the square of:
A) Radius
B) Inverse of radius
C) Speed
D) Inverse of speed
22. If a particle completes 'n' revolutions in time 't', its frequency is:
A) t/n
B) n/t
C) nt
D) n+t
23. Which statement is INCORRECT for uniform circular motion?
A) Speed is constant.
B) Velocity is constant.
C) Acceleration is constant in magnitude.
D) Acceleration is directed towards the center.
24. The unit of angular velocity is:
A) m/s
B) rad
C) rad/s
D) s
25. A particle moves in a circle such that its position vector is given by r(t) = (2cos(3t))i + (2sin(3t))j. What is its speed?
A) 2 m/s
B) 3 m/s
C) 6 m/s
D) 9 m/s
26. If the angular velocity of an object is 2 rad/s and the radius of the circle is 3 m, its linear speed is:
A) 1.5 m/s
B) 2 m/s
C) 3 m/s
D) 6 m/s
27. The angular displacement 'Δθ' in uniform circular motion is related to the arc length 's' by:
A) s = r/Δθ
B) s = rΔθ
C) s = r^2Δθ
D) s = Δθ/r
28. Which of the following is an example of uniform circular motion?
A) A car turning a corner on a wet road
B) The moon revolving around the Earth (approximately)
C) A ball thrown upwards
D) A pendulum swinging
29. If an object is moving in a circle with constant speed, its kinetic energy is:
A) Changing
B) Constant
C) Zero
D) Maximum at the top
30. Centripetal force is always directed:
A) Along the tangent
B) Away from the center
C) Towards the center
D) In the direction of motion
31. The magnitude of centripetal force 'F_c' acting on an object of mass 'm' moving with speed 'v' in a circle of radius 'r' is:
A) mv/r
B) mvr
C) mv^2/r
D) r/(mv^2)
32. Centripetal force is responsible for:
A) Maintaining the linear speed of the object
B) Changing the speed of the object
C) Changing the direction of the velocity of the object
D) Bringing the object to rest
33. In uniform circular motion, the work done by the centripetal force on the object in one complete revolution is:
A) Positive
B) Negative
C) Zero
D) Equal to the kinetic energy
34. An object completes one revolution in 2 seconds in a circle of radius 5 m. Its speed is:
A) 2.5π m/s
B) 5π m/s
C) 10π m/s
D) 20π m/s
35. A particle is moving in a circle of radius 10 m with a constant speed of 5 m/s. What is its centripetal acceleration?
A) 0.25 m/s^2
B) 2.5 m/s^2
C) 25 m/s^2
D) 50 m/s^2
36. If the speed of an object in uniform circular motion is doubled, keeping the radius constant, the centripetal acceleration will:
A) Halve
B) Double
C) Become four times
D) Remain the same
37. If the radius of the circular path is doubled while keeping the speed constant, the centripetal acceleration will:
A) Double
B) Halve
C) Remain the same
D) Become four times
38. How is the angular velocity 'ω' related to the frequency 'f'?
A) ω = 2πf
B) ω = f/(2π)
C) ω = f^2/(2π)
D) ω = 2π/f
39. The frequency 'f' of uniform circular motion is defined as:
A) The time period
B) The reciprocal of the time period
C) Twice the time period
D) Half the time period
40. The relationship between speed 'v', radius 'r', and time period 'T' in uniform circular motion is:
A) v = 2πrT
B) v = T/(2πr)
C) v = 2πT/r
D) v = 2πr/T
41. The time period 'T' of an object undergoing uniform circular motion is the time taken to complete:
A) Half a revolution
B) One full revolution
C) Two full revolutions
D) A quarter revolution
42. Which physical quantity remains constant in uniform circular motion?
A) Velocity
B) Acceleration
C) Speed
D) Displacement
43. The centripetal acceleration 'a_c' can also be expressed in terms of angular velocity 'ω' and radius 'r' as:
A) a_c = ωr
B) a_c = ω^2r
C) a_c = ω/r
D) a_c = r/ω^2
44. If an object moves in a circle of radius 'r' with constant angular velocity 'ω', its linear speed 'v' is given by:
A) v = ω/r
B) v = ωr
C) v = ω^2r
D) v = r/ω
45. What is the magnitude of centripetal acceleration for an object moving with speed 'v' in a circle of radius 'r'?
A) v/r
B) vr
C) v^2/r
D) r/v^2
46. The acceleration in uniform circular motion is called:
A) Tangential acceleration
B) Linear acceleration
C) Centripetal acceleration
D) Angular acceleration
47. The acceleration in uniform circular motion is directed towards:
A) The point of projection
B) The center of the circle
C) The tangent of the circle
D) The outermost point of the circle
48. What is the direction of the velocity vector in uniform circular motion?
A) Towards the center of the circle
B) Away from the center of the circle
C) Tangent to the circular path
D) Perpendicular to the circular path
49. In uniform circular motion, the speed of the object is:
A) Always zero
B) Constant
C) Continuously increasing
D) Continuously decreasing
50. Which of the following describes uniform circular motion?
A) Constant velocity and constant acceleration
B) Changing velocity and zero acceleration
C) Constant speed and changing velocity
D) Changing speed and constant acceleration
All Question Banks
E-Book Uniform circular motion One Line Questions Uniform circular motion Online Test Uniform circular motion