A simple pendulum is being used to determine the value of gravitational acceleration at a certain place. The length of the pendulum is measured with accuracy of and a stopwatch with resolution measures the time taken for oscillations to be . The accuracy in
Step 1. Given:
,
Step 2.Finding the accuracy in :
Where is the acceleration due to gravity, is the time period,is the length of string
Taking log both side and differentiating, we get the following equation
Accuracy in is
Hence, the correct option is D.