\(\omega \propto \sqrt{\frac{g_{e f f}}{\ell}}\)
\(\therefore \quad \frac{\Delta \omega}{\omega}=\frac{1}{2} \frac{\Delta g_{e f f}}{g_{e f f}}\)
\(\Delta \omega=\frac{1}{2} \frac{\Delta g}{g} \times \omega\)
\([ \omega_{s}=\) angular frequency of support]
\(\frac{\Delta \omega}{\omega}=\frac{1}{2} \times \frac{\Delta g}{g}\)
\(=\frac{1}{2} \times \frac{2\left(\mathrm{A} \omega_{5}^{5}\right)}{10}\)
\(\Rightarrow \frac{\Delta \omega}{\omega}=\frac{1 \times 10^{-2}}{10}=10^{-3}\)