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Measurement and Experimentation — PHYSICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9PHYSICSMeasurement and Experimentation2 Marks
Question
A pendulum 100 cm and another pendulum 4 cm long are oscillating at the same time. Calculate the ratio of their time periods.
✓

Answer

$
\begin{array}{l}
l_1=100 cm ; \\
l_2=4 cm
\end{array}
$
Let $T_1$ and $T_2$ be the time period of two pendulums.
$
\begin{array}{l}
\frac{T_1}{T_2}=\sqrt{\frac{l_1}{l_2}} \\
\frac{T_1}{T_2}=\sqrt{\frac{100}{4}}=\sqrt{\frac{25}{1}} \\
\frac{T_1}{T_2}=\frac{5}{1}
\end{array}
$

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