\(\sqrt{\frac{2 s}{a_{a}}}=\frac{1}{2} \sqrt{\frac{2 s}{a_{d}}}\)

\(a_{a}=g \sin \theta+\mu g \cos \theta\)

\(=\frac{g}{2}+\frac{\sqrt{3}}{2} \mu g\)

\(a_{d}=g \sin \theta-\mu g \cos \theta\)

\(=\frac{g}{2}-\frac{\sqrt{3}}{2} \mu g\)

Using the above values of \(a_{a}\) and \(a_{d}\) and putting in equation \((i)\) we will gate \(\mu=\frac{\sqrt{3}}{5}\)