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MHT CET · Physics · Rotational Motion

A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an angle \(\theta_1\) in first 2 s and a further angle \(\theta_2\) in the next 2 s , the ratio \(\theta_1: \theta_2\) is

  1. A \(1: 6\)
  2. B \(6: 1\)
  3. C \(3: 1\)
  4. D \(1: 3\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1: 3\)

Step-by-step Solution

Detailed explanation

\(\theta_1 = \frac{1}{2} \alpha t_1^2 = \frac{1}{2} \alpha (2)^2 = 2\alpha\) \(\theta_{total} = \frac{1}{2} \alpha (t_1+t_2)^2 = \frac{1}{2} \alpha (2+2)^2 = \frac{1}{2} \alpha (4)^2 = 8\alpha\)