JEE Advanced 2010 Physics question

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true ?

(A)Error in measuring T, the time period, is 0.05 secondsCorrect
(B)Error in measuring T, the time period, is 1 second
(C)Percentage error in the determination of g is 5%Correct
(D)Percentage error in the determination of g is 2.5%

Answer: (A),(C)

Solution

Total time s for oscillations, with error s (least count). Time period s and s. So (A) is true and (B) is false (the 1 s error belongs to the total time,

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Question ID VK-025799