System of Particles and Rotational Motion is a Class 11 Physics chapter that carries about 4.7% of the Physics questions in NEET. Practise it with 48 questions covering 2 topics, each with an explanation.
Sample questions on System of Particles and Rotational Motion with answers
8 questions from the practice bank, spread across the chapter's topics. The full set is in the app.
Question 1: Moment of Inertia
A shell moving in a parabolic path explodes in mid-air. The centre of mass of the fragments:
- A moves in a circle
- B moves in a straight line
- C stops
- D continues to follow the original parabolic path
Answer: D. continues to follow the original parabolic path
Why: The explosion is caused by internal forces, which cannot change the motion of the centre of mass.
Question 2: Torque and Angular Momentum
A force of 5 N acts at the end of a spanner of length 0.4 m, perpendicular to it. The torque produced is:
- A 0.8 N m
- B 2 N m
- C 12.5 N m
- D 20 N m
Answer: B. 2 N m
Why: τ = rF sin90° = 0.4 × 5 = 2 N m.
Question 3: Moment of Inertia
A solid cylinder rolls without slipping. The fraction of its total kinetic energy that is rotational is:
- A 1/2
- B 1/3
- C 2/3
- D 1/4
Answer: B. 1/3
Why: K_rot = ½ × ½MR²ω² = ¼Mv², K_trans = ½Mv², so K_rot/K = 1/3.
Question 4: Torque and Angular Momentum
Two equal and opposite forces of 5 N act on a body, separated by a perpendicular distance of 0.4 m. The torque of this couple is:
- A zero
- B 2 N m
- C 10 N m
- D 1 N m
Answer: B. 2 N m
Why: τ = F × d = 5 × 0.4 = 2 N m.
Question 5: Moment of Inertia
The moment of inertia of a rod of mass M and length L about an axis through its centre and perpendicular to its length is ML²/12. About a parallel axis through one end it is:
- A ML²/2
- B ML²/6
- C ML²/4
- D ML²/3
Answer: D. ML²/3
Why: By the parallel axis theorem, I = ML²/12 + M(L/2)² = ML²/12 + ML²/4 = ML²/3.
Question 6: Torque and Angular Momentum
A 30 kg child sits 2 m from the pivot of a see-saw. A 20 kg child balances it by sitting on the other side at a distance of:
- A 3 m
- B 2 m
- C 1.5 m
- D 4 m
Answer: A. 3 m
Why: 30 × 2 = 20 × x gives x = 3 m.
Question 7: Moment of Inertia
The moment of inertia of a uniform solid sphere about an axis through its center (diameter) is:
- A (2/5)MR²
- B (1/2)MR²
- C MR²
- D (2/3)MR²
Answer: A. (2/5)MR²
Why: The moment of inertia of a uniform solid sphere about its diameter is I = (2/5)MR².
Question 8: Torque and Angular Momentum
The torque of a force about an axis passing through its point of application is:
- A zero
- B dependent on the angle
- C F × R
- D maximum
Answer: A. zero
Why: The perpendicular distance from the axis to the line of action is zero.