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 $