A parallel beam of light is incident on a glass prism in the shape of a quarter cylinder of radius R = 0.05 m and refractive index n = 1.5, placed on a horizontal table as shown in the figure. Beyond the cylinder, a patch of light is found whose the nearest distance x from the cylinder is

A ray of light strikes a glass plate at an angle of 60$$^\circ$$. If the reflected and refracted rays are perpendicular to each other, the refractive index of glass is

Light travels through a glass plate of thickness t and having refractive index $$\mu$$. If c be the velocity of light in vacuum, time taken by the light to travel through this thickness of glass is