ExamBro
ExamBro
AP EAMCET · PHYSICS · Oscillations

A simple pendulum, suspended from the ceiling of a lift, has a period of oscillation \(T\), when the lift is at rest. If the lift starts moving upwards with an acceleration \(a=3 \mathrm{~g}\), then the new period will be

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

Given that, \(T\) be the time period of simple pendulum when lift is at rest. Then, \(T=2 \pi \sqrt{\frac{l}{g}}\) ...(i) When the lift is moving upwards with an acceleration \(a=3 g\), the new time period will be \(T^{\prime}=2 \pi \sqrt{\frac{l}{g+a}}\)…