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JEE Main20254 Apr 2025Morning ShiftPhysicsOscillationsActual

Two simple pendulums having lengths l₁ and l₂ with negligible string mass undergo angular displacements ₁ and ₂ , from their mean positions, respectively. If the angular accelerations of both pendulums are same, then which expression is correct?

Options

  1. A₁ l₂^2= ₂ l₁^2
  2. B₁ l₁= ₂ l₂
  3. C₁ l₁^2= ₂ l₂^2
  4. D₁ l₂= ₂ l₁

Correct answer

D. ₁ l₂= ₂ l₁

Step-by-step solution

aligned & = g & =- ^2 & ~g ₁ ₁= g ₂ ₂ & ₁ ₂= ₂ ₂ aligned

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