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Questions  

The time period of a simple pendulum inside a stationary lift is  5 sec. What will be the time period when the lift moves upward with an acceleration  g/4?

a
5seconds
b
25seconds
c
2+5seconds
d
2 seconds

detailed solution

Correct option is D

time period of a simple pendulum is T=2πlg ----(1)and   time period of a simple pendulum in a lift accelerating upward is T1=2πl(g+a)⇒ T1=2πl(g+g/4) ⇒T1=2πl(5g/4)---(2) divide equation (1) by (2) ⇒ TT1=54 ⇒T1=2T5,  by question T=5, substitute in above equation ⇒T1=2 seconds

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