If length of simple pendulum is increased by 300% , then time period will be increased by &nbsp

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13.Oscillations

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If the length of simple pendulum is increased by $300\%$, then the time period will be increased by ..... $\%$

A

$100$

B

$200$

C

$300$

D

$400$

Solution

(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\% $

Standard 11

Physics

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