Physics - SHM Question with Solution | TestHub

The frequency of oscillation is given by: $\mathrm{n}=\frac{1}{2\pi }\sqrt{\frac{\mathrm{g}}{\mathrm{L}}}$ So, Frequency $\mathrm{n}\propto \frac{1}{\sqrt{\mathrm{L}}}$ $\Rightarrow \frac{{\mathrm{n}}_1}{{\mathrm{n}}_2}=\sqrt{\frac{{\mathrm{L}}_2}{{\mathrm{L}}_1}}$ $\Rightarrow \frac{{\mathrm{L}}_1}{{\mathrm{L}}_2}=\frac{{\mathrm{n}}_2^2}{{\mathrm{n}}_1^2}=\frac{4}{9}$