Question

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 1

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%