The time period of simple pendulum will get doubled, if its length is increased by four times. Justify.

Options

A. increase the length 4 times
B. increase the length 2 times
C. decrease the length 4 times
D. decrease the length 2 times.

Answer

A

Explanation

As `T=2pisqrt(l/g)`
`:.Tpropsqrt(l),(T_(1))/(T_(2))=sqrt((l_(1))/(l_(2)))`
`(T_(1))/(T_(2))=sqrt((l_(1))/(4l_(1)))=1/2" or "T_(2)=2T_(1)`