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JEE Mains · Physics · STD 11 - 13. oscillations

Time period of a simple pendulum is \(T\) inside a lift when the lift is stationary. If the lift moves upwards with an acceleration \(g / 2,\) the time period of pendulum will be

  1. A \(\sqrt{3} T\)
  2. B \(\frac{ T }{\sqrt{3}}\)
  3. C \(\sqrt{\frac{3}{2}} T\)
  4. D \(\sqrt{\frac{2}{3}} T\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{\frac{2}{3}} T\)

Step-by-step Solution

Detailed explanation

When lift is stationary \(T =2 \pi \sqrt{\frac{ L }{ g }}\) When lift is moving upwards \(\Rightarrow\) Pseudo force acts downwards \(\Rightarrow g _{ eff }= g +\frac{ g }{2}=\frac{3 g }{2}\) \(\Rightarrow\) New time period…
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