Rotational Motion – Stage 2 (Page 6)
Objective Type Questions (Previous Exam Pattern)
These multiple-choice questions are framed as per Board + JEE Main level. Each question includes a short explanation to build clarity.
Q1.
The SI unit of angular momentum is:
A) kg m s⁻¹
B) kg m² s⁻¹
C) kg m² s⁻²
D) N m
Correct Answer: B
Explanation: Angular momentum L = r × p = kg m² s⁻¹.
Q2.
Moment of inertia depends on:
A) Mass only
B) Shape only
C) Axis of rotation
D) All of the above
Correct Answer: D
Explanation: Moment of inertia depends on mass, shape, and axis.
Q3.
Which of the following quantities remains conserved when net external torque is zero?
A) Angular velocity
B) Torque
C) Angular momentum
D) Angular acceleration
Correct Answer: C
Explanation: In absence of external torque, angular momentum is conserved.
Q4.
A disc and a ring have same mass and radius. Which has greater moment of inertia about the same axis?
A) Disc
B) Ring
C) Both same
D) Cannot be determined
Correct Answer: B
Explanation: Ring has all mass at larger radius → larger I.
Q5.
In pure rolling motion, the velocity of the point of contact with the ground is:
A) v
B) 2v
C) v/2
D) 0
Correct Answer: D
Explanation: In pure rolling, contact point is momentarily at rest.
Q6.
The rotational analogue of mass is:
A) Torque
B) Angular momentum
C) Moment of inertia
D) Angular velocity
Correct Answer: C
Explanation: Moment of inertia resists angular acceleration.
Q7.
Which relation represents Newton’s second law for rotation?
A) L = r × p
B) τ = r × F
C) τ = Iα
D) I = Mk²
Correct Answer: C
Explanation: τ = Iα is rotational form of F = ma.
Q8.
A body rotating with constant angular velocity has:
A) Zero torque
B) Constant torque
C) Increasing torque
D) Infinite torque
Correct Answer: A
Explanation: Constant angular velocity ⇒ zero angular acceleration ⇒ zero torque.
Q9.
The formula for rotational kinetic energy is:
A) ½ mv²
B) Iω
C) ½ Iω²
D) τθ
Correct Answer: C
Explanation: Rotational kinetic energy = ½ Iω².
Q10.
Which body will reach the bottom of an incline first?
A) Solid sphere
B) Hollow sphere
C) Ring
D) All reach together
Correct Answer: A
Explanation: Solid sphere has least moment of inertia.
Exam Tip (Objective Section)
✔ Eliminate wrong options first
✔ Check units and dimensions
✔ Visualize axis and motion
✔ Do not rush calculation-based MCQs
Stage 2 COMPLETED ✅
Next: Phase 1 – IIT/JEE Solved Problems (Basic → Moderate)
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