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Question 30159
JEE Physics · Hard

Errors and Measurements: Error Combination — Complex MCQ

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Error Combination — ComplexHardQuestion 30159

Question

The formula for the time period of a simple pendulum is T = 2π√(L/g). Which error contributes more to %error in T — a 2% error in L or a 1% error in g?
  1. A
    2% error in L
  2. B
    1% error in g
  3. C
    Both contribute equally
    Correct
  4. D
    Neither contributes

Correct answer

Both contribute equally

Explanation

%error in T = (1/2)×(%error in L) = 1%, and (1/2)×(%error in g) = 0.5%. Actually 2% in L contributes 1% and 1% in g contributes 0.5%, so 2% in L contributes more.

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