The length of a simple pendulum executing simple harmonic motion is increased by 21 % . The percentage increase in the time period of the pendulum of increased length is

Step-by-step solution

T =2 l g ; T = (2 )+ 1 2 ( l g ) T = (2 )+ 1 2 (1)- 1 2 ( g ) Differentiating T T =0+ 1 2 l l -0 T T 100= 1 2 l l 100= 1 2 21=10.5 10 % Note: In this method, the % error obtained is an approximate value on the higher side. Exact value is less than the obtained one.