Question

Compare the time periods of the two pendulums of lengths 1 m and 9 m.

Answer 1

Let T₁ and T₂ be the time periods of the two pendulums of lengths 1m and 9m, respectively.

${\displaystyle \frac{T_1}{T_2}=\frac{2\pi \sqrt{\frac{1}{\text{g}}}}{2\pi \sqrt{\frac{9}{\text{g}}}}}$

or , ${\displaystyle \frac{T_1}{T_2}=\sqrt{\frac{1}{9}}}$

or , ${\displaystyle \frac{T_1}{T_2}=\frac{1}{3}}$