Rotational Motion Practice Questions

JEE · Physics · 1482 free MCQs with instant results and detailed explanations.

1482

Total

325

Easy

615

Medium

542

Hard

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Topics in Rotational Motion

Rolling Motion 276

Angular Momentum 244

Moment of Inertia 282

Torque 201

Combined Translational and Rotational Motion 259

Rotational Kinematics 220

Sample Questions from Rotational Motion

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

What is the moment of inertia of a uniform rod of length L about an axis through its center perpendicular to its length?

A. (1/12) mL²

B. (1/3) mL²

C. (1/6) mL²

D. (1/4) mL²

Show Answer & Explanation

Correct Answer: A

The moment of inertia of a uniform rod about an axis through its center is derived from the formula I = (1/12) mL².

Easy

How does the moment of inertia change if the mass distribution of an object is moved further from the axis of rotation?

A. It decreases

B. It remains the same

C. It increases

D. It becomes zero

Show Answer & Explanation

Correct Answer: C

Moment of inertia increases as the mass is distributed further from the axis of rotation, based on the formula I = Σmr².

Easy

For a solid cylinder of mass M and radius R rotating about its central axis, what is the moment of inertia?

A. (1/2) MR²

B. (1/3) MR²

C. (2/5) MR²

D. (1/4) MR²

Show Answer & Explanation

Correct Answer: A

The moment of inertia of a solid cylinder about its axis is derived as (1/2) MR².

Medium

A uniform rod of length L and mass M is pivoted at one end. What is its moment of inertia about the pivot point?

A. (1/3)ML²

B. (1/12)ML²

C. (1/2)ML²

D. ML²

Show Answer & Explanation

Correct Answer: A

The moment of inertia (I) of a rod about an end is given by I = (1/3)ML².

Medium

Two solid spheres of radius R and mass M are connected by a rigid rod of length L. What is the moment of inertia of this system about the axis passing through the center of one sphere?

A. 2MR²

B. MR² + M(L-R)²

C. 2M(R² + (L/2)²)

D. MR² + M(R+L)²

Show Answer & Explanation

Correct Answer: B

The moment of inertia is given by I = I_sphere + I_rod, where I_rod = M(L-R)² for the rod.

Medium

A thin circular ring of mass M and radius R is rotating about an axis perpendicular to its plane through its center. What is its moment of inertia?

A. MR²

B. (1/2)MR²

C. (1/3)MR²

D. 2MR²

Show Answer & Explanation

Correct Answer: A

The moment of inertia of a thin ring about an axis through its center is given by I = MR².

Medium

A disk of mass M and radius R is rotating about its axis with an angular velocity ω. What is its kinetic energy?

A. (1/2)Iω²

B. (1/4)MR²ω²

C. (1/2)MR²ω²

D. (1/3)MR²ω²

Show Answer & Explanation

Correct Answer: C

The kinetic energy of a rotating object is given by KE = (1/2)Iω². For a disk, I = (1/2)MR².

Hard

A solid cylinder of radius R and mass M is rotating about its axis with angular velocity ω. What is its moment of inertia?

A. (1/2)MR²

B. (2/3)MR²

C. (1/4)MR²

D. MR²

Show Answer & Explanation

Correct Answer: A

The moment of inertia of a solid cylinder about its axis is given by I = (1/2)MR².

Hard

A thin rod of length L and mass M is pivoted about one end. What is its moment of inertia about the pivot point?

A. (1/3)ML²

B. (1/12)ML²

C. (1/2)ML²

D. ML²

Show Answer & Explanation

Correct Answer: A

The moment of inertia of a thin rod about an end is I = (1/3)ML².

Q10

Hard

Two disks each of radius R and mass M are stacked one on top of the other. What is the moment of inertia of the system about the axis through the center of the bottom disk?

A. (3/2)MR²

B. MR²

C. (5/4)MR²

D. (3/4)MR²

Show Answer & Explanation

Correct Answer: A

The moment of inertia of the bottom disk is (1/2)MR², and for the top disk, we apply the parallel axis theorem: I_top = (1/2)MR² + Md² where d = R.

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Rotational Motion — JEE Physics Practice Questions Online

This page contains 1482 practice MCQs for the chapter Rotational Motion in JEE Physics. The questions are organized by difficulty — 325 easy, 615 medium, 542 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 6 topics, giving you comprehensive coverage of the entire chapter.