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Physics · Rotational Dynamics

JEE Main 2026 — 5 April, Evening Shift — Question 5

A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle θ1\theta_1 and in the next 2 s it rotates through an angle θ2\theta_2. The ratio θ2θ1\frac{\theta_2}{\theta_1} is

  1. Option A:

    6

  2. Option B:

    3

    Correct
  3. Option C:

    4

  4. Option D:

    46082

Answer: B

Step-by-step solution

θ1=12α(2)2=2α\theta_1 = \frac12 \alpha (2)^2 = 2\alpha. Angle in 4 s: θ′=12α(4)2=8α\theta' = \frac12 \alpha (4)^2 = 8\alpha. Then θ2=θ′−θ1=6α\theta_2 = \theta' - \theta_1 = 6\alpha. Ratio = 3.

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Paper
5 April, Evening Shift
Subject
Physics
Chapter
Rotational Dynamics
Topic
Kinematics of General Motion of a Rigid Body

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