If the length of simple pendulum is increased by $300\%$, then the time period will be increased by ..... $\%$
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(a) $\frac{{{T_1}}}{{{T_2}}} = \sqrt {\frac{{{l_1}}}{{{l_2}}}} $
$\Rightarrow \frac{{{T_1}}}{{{T_2}}} = \sqrt {\frac{{100}}{{400}}} $ (If ${l_1} = 100$ then ${l_2} = 400$)
$ \Rightarrow {T_2} = 2{T_1}$
Hence $\%$ increase $ = \frac{{{T_2} - {T_1}}}{{{T_1}}} \times 100 = 100\% $
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