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JEE Main 2026 (5 Apr, Shift 2) · Rotational Kinematics & Dynamics

Rotational Kinematics & Dynamics question from JEE Main 2026 (5 Apr, Shift 2)

Q4JEE Main 2026 · 5 APR · SHIFT 2Medium

Rotational Kinematics & Dynamics

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 $\theta_1$ and in the next 2 s it rotates through an angle $\theta_2$ . The ratio $\frac{\theta_2}{\theta_1}$ is ______.

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Answer: (b)

From rest: $\theta = \frac{1}{2}\alpha t^2$ .
$\theta_1 = \frac{1}{2}\alpha (2)^2 = 2\alpha$ ; angle in 4 s $= \frac{1}{2}\alpha(4)^2 = 8\alpha$
$\theta_2 = 8\alpha - 2\alpha = 6\alpha$ , so $\frac{\theta_2}{\theta_1} = 3$
So the answer is (b) 3.

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