JEE Physics · Medium

Errors and Measurements: Pendulum g calculation MCQ

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Pendulum g calculationMediumQuestion 30142

Question

In an experiment, L = 1.000 ± 0.001 m and T = 2.00 ± 0.01 s. The percentage error in g = 4π²L/T² is:
  1. A
    0.1% + 0.5%
  2. B
    0.1% + 1.0%
    Correct
  3. C
    1.0% + 1.0%
  4. D
    0.5% + 1.0%

Correct answer

0.1% + 1.0%

Explanation

%error in g = %error in L + 2×(%error in T) = (0.001/1.000)×100 + 2×(0.01/2.00)×100 = 0.1% + 1.0% = 1.1%.