Laws Of Motion Question 250

Question: There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is T. If the resultant acceleration becomes $ g/4, $ then the new time period of the pendulum is [DCE 2004]

Options:

A) 0.8 T

B) 0.25 T

C) 2 T

D) 4 T

Show Answer

Answer:

Correct Answer: C

Solution:

When lift is at rest, $ T=2\pi \sqrt{l/g} $

If acceleration becomes g/4 then $ {T}’=2\pi \sqrt{\frac{l}{g/4}}=2\pi \sqrt{\frac{4l}{g}}=2\times T $



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