Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsOscillations2 Marks
Question
What is the length of a simple pendulum, which ticks seconds ?
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Answer
From Eq. (13.26), the time period of a simple pendulum is given by, $ T=2 \pi \sqrt{\frac{L}{g}} $
From this relation one gets, $ L=\frac{g T^2}{4 \pi^2} $
The time period of a simple pendulum, which ticks seconds, is $2 s$. Therefore, for $g=9.8 m s ^{-2}$ $ \text { and } \begin{aligned} T & =2 s , L \text { is } \\ & =\frac{9.8\left( m s ^{-2}\right) \times 4\left( s ^2\right)}{4 \pi^2} \\ & =1 m \end{aligned} $
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