The time period of a simple pendulum is T. When the length is increased by 10 cm, its period is `T_(1)`. When the length is decreased by 10 cm, its period is `T_(2)`. Then, the relation between T, `T_(1)` and `T_(2)` is

The time period of a simple pendulum is T. When the length is increased by 10 cm, its period is T_(1) . When the length is decreased by 10 cm, its period is T_(2) . Prove that the relation between T,T_(1)andT_(2) is T_(1)^(2)+T_(2)^(2)=2T^(2) .

The time period of a simple pendulum is T. When the length is increased by 10 cm, its period is T_1 . Then , relation between T, T_1 and T_2 is,

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

The graph of time period (T) of a simple pendulum versus its length (I) is