The error in the measurement of length (L) of the simple pendulum is 0

1.	The error in the measurement of length (L) of the simple pendulum is 0.1% and the error in time period (T) is 3%. The maximum possible error in the measurement of \(\frac{L}{T^2}\) is(A) 2.9% (B) 3.1% (C) 5.9% (D) 6.1%
Answer» Answer is (D) 6.1% Maximum possible error in measurement of \(\frac{L}{T^2}\) = \(\Big(\frac{ΔL}{L}+2\frac{ΔT}{T}\Big)\)% = (0.1 + 2 x 3) % = 6.1%

The error in the measurement of length (L) of the simple pendulum is 0.1% and the error in time period (T) is 3%. The maximum possible error in the measurement of \(\frac{L}{T^2}\) is(A) 2.9% (B) 3.1% (C) 5.9% (D) 6.1%

Answer»

Answer is (D) 6.1%

Maximum possible error in measurement of

\(\frac{L}{T^2}\) = \(\Big(\frac{ΔL}{L}+2\frac{ΔT}{T}\Big)\)%

= (0.1 + 2 x 3) % = 6.1%

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The error in the measurement of length (L) of the simple pendulum is 0.1% and the error in time period (T) is 3%. The maximum possible error in the measurement of \(\frac{L}{T^2}\) is(A) 2.9% (B) 3.1% (C) 5.9% (D) 6.1%

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