Physics Test 17...

A uniform, horizontal parallel beam of light is incident upon a prism as shown. The prism is in the shape of a quarter cylinder, of radius R = 5 cm, and has the index of refraction n = 5/3. The width of the region at which the incident rays after normal incidence on plane surface and subsequent refraction at curved surface intersect on x  axis is (Neglect the ray which travels along x-axis as shown in figure)

Inside a solid glass sphere of radius R , a point source of light lies at a distance x ( x < R) from centre of the sphere. The solid sphere is surrounded by air of refractive index 1. The maximum angle of incidence for  rays incident on the spherical glass- air interface directly from the point source is:

Two transparent slabs are of equal length (thickness). One is made of a material A of R.I. 1.5 and the other is made of materials B and C, the ratio of their thickness being 1: 2. The R.I. of C is 1.6. When light passes through them, the two slabs have the same number of waves. The R.I. of B is (Light is incident normally)

An object moves in front of a fixed plane mirror. The velocity of the image of the object is

An object and a plane mirror are shown in figure. Mirror is moved with velocity V as shown. The velocity of image is :

The rainbow formed after or during the rain is due to

In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of θ so that light incident normally on the face AB does not cross the face BC is (given sin^–1 (3/5) = 37º)

In the diagram shown, light is incident on the interface between media 1 (refractive index n₁) and 2 (refractive index n₂) at angle slightly greater than the critical angle and is totally reflected. The light is then also totally reflected at the interface between media 1 and 3 (refractive index n₃) after which it travels in a direction opposite to its initial direction. The media must have a refractive indices such that

A transparent cylinder has its right half polished so as to act as a mirror. A paraxial light ray is incident from left, that is parallel to principal axis, exits parallel to the incident ray as shown. The refractive index n of the material of the cylinder is :

If a prism having refractive √2 index, has angle of minimum deviation equal to the angle of refraction of the prism, then the angle of refraction of the prism is: