\(\mu_X \sin \theta=\mu_Y\)
Given, speed of light in medium \(X\) is \(v\)
To find: speed of light in medium \(Y\)
\(\frac{\mu_{ Y }}{\mu_{ X }}=\sin \theta\)
Also, speed of light in medium \(Y\) is \(=\frac{ v }{\mu_{ rel }}=v \frac{\mu_{ X }}{\mu_{ Y }}\)
\(=\frac{ V }{\sin \theta}\)