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