Choose the correct answer. When a point of suspension of pendulum is moved vertically upward with…

Choose the correct answer. When a point of suspension of pendulum is moved vertically upward with acceleration ' $a$ ', its period of oscillation
  1. decreases
  2. increases
  3. remains same
  4. some times increases and some times decreases

Solution

For a simple pendulum, $\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}} \Rightarrow \mathrm{~T} \propto \frac{1}{\mathrm{~g}}$
When the point of suspension is moved vertically upwards with acceleration a, $g$ becomes $g+a$. Hence, $T$ decreases. /

Asked in: MHT CET 2024 (02 May Shift 1)

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