Question

The length of a simple pendulum is increased by 1%. Its time period will

• A. Increase by 1%
• B. Increase by 0.5%
• C. Decrease by 0.5%
• D. Increase by 2%

Answer 1

Answer: (B)

Increase by 0.5%

Answer 2

$T \propto \sqrt{l}$ ⇒$\frac{\Delta T}{T} = \frac{1}{2}\frac{\Delta l}{l} = \frac{1}{2} \times 1\% = 0.5\%$