Quiz for Rotational Motion

Q1: Moment of inertia of a solid sphere about its diameter is:

A. 2/5 MR² B. 1/2 MR² C. 2/3 MR² D. 3/5 MR²

Q2: Unit of angular momentum is:

A. kg m²/s² B. kg m/s C. kg m²/s D. kg/s

Q3: Torque is defined as:

A. F × d B. F × r C. r × F D. F/r

Q4: Angular velocity is the rate of change of:

A. Linear displacement B. Angular displacement C. Angular momentum D. Moment of inertia

Q5: Dimension of moment of inertia is:

A. ML²T⁰ B. MLT⁻² C. ML²T⁻² D. MLT

Q6: A disc is rotating with constant angular velocity. The angular acceleration is:

A. Zero B. Constant C. Infinite D. Variable

Q7: A rolling object has:

A. Only translational kinetic energy B. Only rotational kinetic energy C. Both translational and rotational KE D. No kinetic energy

Q8: Work done by torque is given by:

A. τ × θ B. τ × ω C. τ × t D. τ/θ

Q9: Rotational analog of mass is:

A. Torque B. Angular velocity C. Moment of inertia D. Angular displacement

Q10: If a flywheel’s kinetic energy is doubled, its angular velocity becomes:

A. √2 times B. Twice C. Half D. 4 times

Q11: Precession is related to:

A. Linear motion B. Rotational equilibrium C. Torque and angular momentum D. Elastic collisions

Q12: A body rotates from rest with constant angular acceleration. Angular displacement is:

A. θ = ωt B. θ = ω²t C. θ = ½αt² D. θ = αt

Q13: Unit of torque is same as that of:

A. Work B. Force C. Power D. Angular velocity

Q14: Rotational kinetic energy of a body is:

A. ½ mv² B. ½ Iω² C. Iω D. ½ mω²

Q15: Which does not affect moment of inertia?

A. Shape B. Mass C. Axis of rotation D. Angular velocity

Q16: A uniform rod rotates about one end. Moment of inertia is:

A. 1/3 ML² B. 1/2 ML² C. 1/12 ML² D. 2/3 ML²

Q17: Angular acceleration unit is:

A. rad/s² B. rad/s C. m/s² D. kg·m²/s

Q18: A point on the rim of rotating wheel has:

A. Only angular velocity B. Only linear velocity C. Both linear and angular velocity D. No velocity

Q19: Moment of inertia depends on:

A. Mass only B. Distance from axis only C. Distribution of mass and axis D. Speed only

Q20: A rotating disc is stopped by applying a brake. The work done is:

A. Positive B. Zero C. Negative D. Infinite