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← JEE Main 2026 · 5 Apr · Shift 2
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JEE Main 2026 · 5 Apr · Shift 2, Physics question 30

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\dfrac{\theta_2}{\theta_1} is ________.

Choose one option
Answer and worked solution

Official answer: B

Angle from rest. θ=12αt2\theta=\tfrac12\alpha t^2.

  • θ1∝22=4\theta_1\propto2^2=4.
  • θ1+θ2∝42=16\theta_1+\theta_2\propto4^2=16, so θ2∝12\theta_2\propto12.

Ratio: θ2/θ1=3\theta_2/\theta_1=3.

(B)