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JEE Main 2025 (4 Apr, Shift 1) · Simple Pendulum

Simple Pendulum question from JEE Main 2025 (4 Apr, Shift 1)

Q26JEE Main 2025 · 4 APR · SHIFT 1Medium

Simple Pendulum

Two simple pendulums having lengths l1l_1 and l2l_2 with negligible string mass undergo angular displacements θ1\theta_1 and θ2\theta_2, from their mean positions, respectively. If the angular accelerations of both pendulums are same, then which expression is correct?

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Answer: (a)

  1. For a simple pendulum, angular acceleration α=−glθ\alpha = -\frac{g}{l}\theta.
  2. Equal α\alpha: θ1l1=θ2l2\frac{\theta_1}{l_1} = \frac{\theta_2}{l_2}
  3. θ1l2=θ2l1\theta_1 l_2 = \theta_2 l_1
  4. So the answer is (a).
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