Question

The length of 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

$T = 2\pi\sqrt{l/g}$ hence $T \propto \sqrt{l}$

Percentage increment in $T = \frac{1}{2}$ (percentage increment in l)

= 0.5%.