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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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