In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillation is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of `g` is close to :

Options

A. ` 0.7 % `
B. ` 6.8 % `
C. `3.5 % `
D. ` 0.2 % `

Explanation

To determine the percentage error in the calculation of acceleration due to gravity (g) using a simple pendulum experiment, we can follow these steps:

### Step 1: Understand the formula for g
The formula for the acceleration due to gravity (g) in terms of the length of the pendulum (L) and the time period (T) is given by:
\[ g = \frac{4\pi^2 L}{T^2} \]

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