If the length and time period of an oscillating pendulum have errors of 1 % and 3 % respectively then the error in measurement of the acceleration due to gravity is

Step-by-step solution

Acceleration due to gravity ? T = 2 π L g T 2 = 4 π 2 L g g = 4 π 2 L T 2 Thus , ∆ g g × 100 = ∆ L L × 100 + 2 × ∆ T T × 100 = 1 + 2 × 3 % = 1 + 6 = 7 %