Question 12 Marks
Compare the time periods of the two pendulums of lengths $1\ m$ and $9\ m.$
Answer
View full question & answer→Let $T_1$ and $T_2$ be the time periods of the two pendulums of lengths $1\ m$ and $9\ m$, respectively.
$ \frac{T_1}{T_2}=\frac{2 \pi \sqrt{\frac{1}{g}}}{2 \pi \sqrt{\frac{9}{g}}}$
$\text { or , } \frac{T_1}{T_2}=\sqrt{\frac{1}{9}}$
$\text { or , } \frac{T_1}{T_2}=\frac{1}{3}$
$ \frac{T_1}{T_2}=\frac{2 \pi \sqrt{\frac{1}{g}}}{2 \pi \sqrt{\frac{9}{g}}}$
$\text { or , } \frac{T_1}{T_2}=\sqrt{\frac{1}{9}}$
$\text { or , } \frac{T_1}{T_2}=\frac{1}{3}$