Bahria University Entry Test Physics: Circular Motion MCQs

Bahria University Entry Test Physics: Circular Motion MCQs — sample questions

1. Question 1

   Q1. A particle moves in a circular path with constant speed. What is the direction of its acceleration?

   • A) Towards the center
   • B) Away from the center
   • C) Tangential to the circle
   • D) Perpendicular to the plane of the circle

   Answer: Towards the center

   Explanation: The acceleration is centripetal, directed towards the center, given by v² / r, where v is speed and r is radius.

2. Question 2

   Q2. A car moves around a circular track of radius 50 m at a speed of 20 m/s. What is its centripetal acceleration?

   • A) 4 m/s²
   • B) 8 m/s²
   • C) 10 m/s²
   • D) 12 m/s²

   Answer: 8 m/s²

   Explanation: Centripetal acceleration = v² / r = (20)² / 50 = 400 / 50 = 8 m/s².

3. Question 3

   Q3. A particle is moving in a circular path with a radius of 2 m and a constant speed of 4 m/s. What is its angular velocity?

   • A) 1 rad/s
   • B) 2 rad/s
   • C) 3 rad/s
   • D) 4 rad/s

   Answer: 2 rad/s

   Explanation: Angular velocity (ω) = v / r = 4 / 2 = 2 rad/s.

4. Question 4

   Q4. The time period of a particle moving in a circular path is 2 s. What is its frequency?

   • A) 0.25 Hz
   • B) 0.5 Hz
   • C) 1 Hz
   • D) 2 Hz

   Answer: 0.5 Hz

   Explanation: Frequency = 1 / Time period = 1 / 2 = 0.5 Hz.

5. Question 5

   Q5. A body is moving in a circular path with a constant angular velocity. What is the direction of its linear velocity?

   • A) Towards the center
   • B) Away from the center
   • C) Tangential to the circle
   • D) Perpendicular to the plane of the circle

   Answer: Tangential to the circle

   Explanation: Linear velocity is tangential to the circular path.

6. Question 6

   Q6. A particle is moving in a circular path with a radius of 1 m and an angular velocity of 3 rad/s. What is its linear speed?

   • A) 2 m/s
   • B) 3 m/s
   • C) 4 m/s
   • D) 5 m/s

   Answer: 3 m/s

   Explanation: Linear speed (v) = r * ω = 1 * 3 = 3 m/s.

7. Question 7

   Q7. The angular displacement of a particle moving in a circular path is π/2 rad in 1 s. What is its angular velocity?

   • A) π/4 rad/s
   • B) π/2 rad/s
   • C) π rad/s
   • D) 2π rad/s

   Answer: π/2 rad/s

   Explanation: Angular velocity (ω) = Angular displacement / Time = (π/2) / 1 = π/2 rad/s.

8. Question 8

   Q8. A car is moving around a circular track of radius 100 m at a speed of 25 m/s. What is its centripetal acceleration?

   • A) 5.25 m/s²
   • B) 6.25 m/s²
   • C) 7.25 m/s²
   • D) 8.25 m/s²

   Answer: 6.25 m/s²

   Explanation: Centripetal acceleration = v² / r = (25)² / 100 = 625 / 100 = 6.25 m/s².

9. Question 9

   Q9. A particle is moving in a circular path with a constant speed. What is the work done by the centripetal force?

   • A) Positive
   • B) Negative
   • C) Zero
   • D) Maximum

   Answer: Zero

   Explanation: Work done by centripetal force is zero as it is perpendicular to the displacement.

10. Question 10

    Q10. A body is moving in a circular path with a radius of 4 m and a constant speed of 8 m/s. What is its angular speed?

    • A) 1 rad/s
    • B) 2 rad/s
    • C) 3 rad/s
    • D) 4 rad/s

    Answer: 2 rad/s

    Explanation: Angular speed (ω) = v / r = 8 / 4 = 2 rad/s.

11. Question 11

    Q11. The frequency of a particle moving in a circular path is 0.5 Hz. What is its time period?

    • A) 1 s
    • B) 2 s
    • C) 3 s
    • D) 4 s

    Answer: 2 s

    Explanation: Time period = 1 / Frequency = 1 / 0.5 = 2 s.

12. Question 12

    Q12. A particle is moving in a circular path with a radius of 3 m and an angular velocity of 2 rad/s. What is its linear acceleration?

    • A) 10 m/s²
    • B) 12 m/s²
    • C) 14 m/s²
    • D) 16 m/s²

    Answer: 12 m/s²

    Explanation: Linear acceleration = r * ω² = 3 * (2)² = 3 * 4 = 12 m/s².

13. Question 13

    Q13. A body is moving in a circular path with a constant angular acceleration. What is the direction of its angular velocity?

    • A) Along the axis of rotation
    • B) Tangential to the circle
    • C) Perpendicular to the plane of the circle
    • D) Along the radius

    Answer: Along the axis of rotation

    Explanation: Angular velocity is along the axis of rotation, following the right-hand rule.

14. Question 14

    Q14. A particle is moving in a circular path with a radius of 2 m and a speed of 6 m/s. What is its centripetal acceleration?

    • A) 16 m/s²
    • B) 17 m/s²
    • C) 18 m/s²
    • D) 19 m/s²

    Answer: 18 m/s²

    Explanation: Centripetal acceleration = v² / r = (6)² / 2 = 36 / 2 = 18 m/s².

15. Question 15

    Q15. A car moves around a circular track of radius 200 m at a speed of 40 m/s. What is its angular speed?

    • A) 0.1 rad/s
    • B) 0.2 rad/s
    • C) 0.3 rad/s
    • D) 0.4 rad/s

    Answer: 0.2 rad/s

    Explanation: Angular speed (ω) = v / r = 40 / 200 = 0.2 rad/s.

16. Question 16

    Q16. The angular velocity of a particle moving in a circular path is 4 rad/s. What is its angular displacement in 2 s?

    • A) 6 rad
    • B) 8 rad
    • C) 10 rad
    • D) 12 rad

    Answer: 8 rad

    Explanation: Angular displacement = ω * t = 4 * 2 = 8 rad.

17. Question 17

    Q17. A body is moving in a circular path with a radius of 5 m and a constant speed of 15 m/s. What is its centripetal acceleration?

    • A) 40 m/s²
    • B) 45 m/s²
    • C) 50 m/s²
    • D) 55 m/s²

    Answer: 45 m/s²

    Explanation: Centripetal acceleration = v² / r = (15)² / 5 = 225 / 5 = 45 m/s².

18. Question 18

    Q18. A particle is moving in a circular path with a constant angular velocity. What is the torque acting on it?

    • A) Maximum
    • B) Minimum
    • C) Zero
    • D) Constant

    Answer: Zero

    Explanation: Torque is zero as there is no angular acceleration.

19. Question 19

    Q19. A car is moving around a circular track of radius 150 m at a speed of 30 m/s. What is its angular speed?

    • A) 0.1 rad/s
    • B) 0.2 rad/s
    • C) 0.3 rad/s
    • D) 0.4 rad/s

    Answer: 0.2 rad/s

    Explanation: Angular speed (ω) = v / r = 30 / 150 = 0.2 rad/s.

20. Question 20

    Q20. A particle is moving in a circular path with a radius of 1 m and an angular acceleration of 2 rad/s². What is its tangential acceleration?

    • A) 1 m/s²
    • B) 2 m/s²
    • C) 3 m/s²
    • D) 4 m/s²

    Answer: 2 m/s²

    Explanation: Tangential acceleration = r * α = 1 * 2 = 2 m/s².