A ray of light is incident on one face of an equilateral glass prism having refractive index $$\sqrt{2}$$. It produces the emergent ray which just. grazes along the adjacent face. The value of angle of incidence is $$\left(\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)$$

White light consists of wavelengths from $$480 \mathrm{~nm}$$ to $$672 \mathrm{~nm}$$. What will be the wavelength range when white light is passed through glass of refractive index 1.6?

A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness $$4 \mathrm{~cm}$$ is the same as in water column of height $$5 \mathrm{~cm}$$. If refractive index of glass is $$\frac{5}{3}$$ then refractive index of water is

The radii of curvature of both the surfaces of a convex lens of focal length '$$\mathrm{f}$$' and focal power '$$\mathrm{P}$$' are equal. One of the surfaces is made plane by grinding. The new focal length and focal power of the lens is respectively