Question

A simpler pendulum has a time period of $1s$ in order to increase the time period to $2s$

• A. The mass of the bob should be doubled
• B. The length of the pendulum should be doubled
• C. The length of the pendulum should be increased by a factor of $4$
• D. The length of the pendulum should be decreased by a factor of $4$

Answer 1

Answer: (C)

The length of the pendulum should be increased by a factor of $4$

We know that, time period of a simple pendulum is given by $T=2\pi \sqrt{\frac{h}{g}}$

So, to increase thethe time period to $2s$, the length of the pendulum should be increased by a factor of $4$.