Question

In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a periodic motion is $T=2\pi \sqrt{\frac{7(R-r)}{5g}}$. The values of R and r are measured to be $(60\pm 1)mm$ and $(10\pm 1)mm$, respectively. In five successive measurements, the time period is found to be $0.52s$, $0.56s$, $0.57s$, $0.54s$ and $0.59s$. The least count of the watch used for the measurement of time period is $0.01s$, Which of the following statement(s) is (are) true?

• A. The error in the measurement of $r$ is $10\%$
• B. The error in the measurement of $T$ is $3.57\%$
• C. The error in the measurement of $T$ is $2\%$
• D. The error in the determined value of $g$ is $11\%$

Answer 1

Answer: (A), (B), (D)

The correct options are
A The error in the measurement of $r$ is $10\%$
B The error in the measurement of $T$ is $3.57\%$
D The error in the determined value of $g$ is $11\%$