For a $$30^{\circ}$$ prism when a ray of light is incident at an angle $$60^{\circ}$$ on one of its faces, the emergent ray passes normal to the other surface. Then the refractive index of the prism is:

A ray of light travelling through a medium of refractive index $$\frac{5}{4}$$ is incident on a glass of refractive index $$\frac{3}{2}$$. Find the angle of refraction in the glass, if the angle of incidence at the given medium - glass interface is $$30^{\circ}$$.

An air bubble in water $$\left(\mu=\frac{4}{3}\right)$$ is shown in figure. The apparent depth of the image of the bubble in plane mirror viewed by observer is.

A fish in water (refractive index $$n$$ ) looks at a bird vertically above in the air. If $$y$$ is the height of the bird and $$x$$ is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is