The acceleration due to gravity is measured on the surface of earth by using a simple pendulum. If $\alpha$ and $\beta$ are relative errors in the measurement of length and time period respectively, then percentage error in the measurement of acceleration due to gravity is
The acceleration due to gravity is measured on the surface of earth by using a simple pendulum. If $\alpha$ and $\beta$ are relative errors in the measurement of length and time period respectively, then percentage error in the measurement of acceleration due to gravity is
- A
$\left(\alpha+\frac{1}{2} \beta\right) \times 100$
- B
$(\alpha-2 \beta)$
- C
$(2 \alpha+\beta) \times 100$
- D
$(\alpha+2 \beta) \times 100$
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- [JEE MAIN 2022]