Simple pendulum is executing simple harmonic motion with time period `T`. If the length of the pendulum is increased by `21%`, then the increase in the time period of the pendulum of the increased length is:

Options

A. 0.22
B. 0.2
C. 0.33
D. 0.44

Answer

B

Explanation

`(T_(2))/(T_(1))=sqrt((l_(2))/(l_(1)))=sqrt(1.44)=1.2`
`(T_(2)-T_(1))/(T_(1))=1.2-1=0.2=20%`.