The time period of simple pendulum is T. If its length is increased by 2%, the new time period becomes

Options

A. 0.98 T
B. 1.02 T
C. 0.99 T
D. 1.01 T

Answer

D

Explanation

`T prop 1^(1//2)`
`rArr (Delta T)/(T) = (1)/(2) ((Delta 1)/(1))`
`(Delta T)/(T) = (1)/(2) (2%) = 1%`
`rArr (T. - T)/(T) = (1)/(100)`
`rArr T. = T + 0.01 T`
`rArr T. = 1.01 T`