Question

What will be the percentage change in the time period of a simple pendulum if its length is increased by 5%?

• A. 1/9%
• B. 2.5%
• C. 5.2%
• D. 9%

Answer 1

The correct option is B 2.5%

$T\propto \sqrt{L}$
Thus if $L^{\prime }=1.05L$,
$T^{\prime }=T\left(\sqrt{1.05}\right)=T\left(1.025\right)$
or, change = $2.5$%