Ray Optics and ...

A cubical vessel has opaque walls. An observer (dark circle in figure below) is located such that she can see only the wall CD but not the bottom. Nearly to what height should water be poured so that she can see an object placed at the bottom at a distance of 10 cm from the corner C ? (Refractive index of water is 1.33.

A double convex lens of glass of refraction index $$\mu$$ is immersed in a medium of refractive index $$\mu_{1}$$. If a parallel beam emerges undeviated through the lens, then:

An isosceles glass prism with angles $${40}^{o}$$ is clamped over a tray of water in a position such that the base is just dipped in water. A ray of light incident normally on the inclined face suffers total internal reflection at the base. If the refractive index of water is $$1.33$$ then the condition imposed on the refractive index $$\mu$$ of the glass is :

A student sees the top edge and the bottom center C of a pool simultaneously from an angle $$\theta$$ above the horizontal as shown in the figure. The refractive index of water which fills up to the top edge of the pool is 4/3. If h/x = 7/4 then cos $$\theta$$ is

A ray of light enters from a rarer to a denser medium. The angle of incidence is $$i$$. Then the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media 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

A ray of white light of incident on a spherical water drop whose center is C as shown in figure. When observed from the opposite side, the emergent light.

The apparent flattening of the sun at sunset and sunrise is due to 

A light beam of diameter $$\sqrt{5}R$$ is incident symmetrically on a glass hemisphere of radius II and of refractive index $$n=\sqrt{3}$$. The radius of the beam at the base of hemisphere is:

Light is incident normally on face AB of a prism as shown in figure. A liquid of refractive index $$\mu$$ is placed on the face AC of the prism. The prism is made of glass of refractive index 3/2. The limit of $$\mu$$ for which total internal reflection takes place on face AC is :