A simple pendulum of length 25 cm has a time period of 1 s and another pendulum of length 100cm has a time period of 2s. The time period of a simple pendulum of length 125 cm will be

Options

A. 3 s
B. 2.5 s
C. `sqrt(5) s`
D. `sqrt(7) s`

Answer

C

Explanation

`(T_(2))/(T_(1))=sqrt((l_(2))/(l_(1)))=sqrt((125)/(25))=sqrt(5)`
`T_(2)=T_(1)sqrt(5)=1xxsqrt(5)=sqrt(5)`