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# The period of oscillation of a simple pendulum

Question:

The period of oscillation of a simple pendulum is $T=2 \pi \sqrt{\frac{L}{g}}$. Measured value of $L$ is $20.0 \mathrm{~cm}$

known to $1 \mathrm{~mm}$ accuracy and time for 100 oscillations of the pendulum is found to be $90 \mathrm{~s}$ using a wrist watch of 1 s resolution. The accuracy in the determination of $g$ is :

1. $1 \%$

2. $5 \%$

3. 2\%

4. $3 \%$

Correct Option: , 4

Solution: