JEE Physics · Hard

Errors and Measurements: Error in g MCQ

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Error in gHardQuestion 30164

Question

In Kater's pendulum experiment, g is measured to be 9.8 m/s² with T measured to 0.1% accuracy and L to 0.2% accuracy. The %error in g is:
  1. A
    0.1%
  2. B
    0.2%
  3. C
    0.3%
  4. D
    0.4%
    Correct

Correct answer

0.4%

Explanation

Since g ∝ L/T², %error in g = %error in L + 2×%error in T = 0.2 + 2×0.1 = 0.4%.