Oscillations · JEE Preparation Physics

A simple pendulum of length L and mass m is suspended in a lift that is accelerating upward with an acceleration a. The time period of small oscillat…

Practice question from Oscillations (JEE Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-0DFE33

A simple pendulum of length LL and mass mm is suspended in a lift that is accelerating upward with an acceleration aa. The time period of small oscillations of this pendulum is:

  1. A.2\pi \sqrt{\frac{L}{g - a}}
  2. B.2\pi \sqrt{\frac{L}{g + a}}Correct answer
  3. C.2\pi \sqrt{\frac{L}{g}}
  4. D.2\pi \sqrt{\frac{L}{\sqrt{g^2 + a^2}}}

Solution

When a lift accelerates upward with acceleration aa, the effective acceleration due to gravity is geff=g+ag_{eff} = g + a. The time period is given by T=2πLgeff=2πLg+aT = 2\pi \sqrt{\frac{L}{g_{eff}}} = 2\pi \sqrt{\frac{L}{g + a}}.

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