Ray Optics Test...

An equiconvex lens is cut into two halves along (i) XOX’ and (ii) YOY’ as shown in Fig. Let f, f’ and f’’ be the focal lengths of complete lens, of each half in case
(i) and of each half in case
(ii) respectively. Choose the correct statement from the following:

The size of the image of an object, which is at infinity, as formed by a convex lens of focal length 30 cm is 2 cm. If a concave lens of focal length 20 cm is placed between the convex lens and the image at a distance of 26 cm from the convex lens, calculate the new size of the image.

A plane mirror is placed at the bottom of a tank containing a liquid of refractive index µ. P is a small object at a height h above the mirror. An observer O-vertically above P outside the liquid sees P and its image in the mirror. The apparent distance between these two will be

A ray of light falls on a transparent sphere with centre at C as shown in Fig. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is

One side of a glass slab is silvered as shown in Fig. A ray of light is incident on the other side at angle of incidence I = 45 0 . Refractive index of glass is 1.5. The deviation of the ray of light from its initial path when it comes out of the slab is

A watch glass has uniform thickness, and the average radius of curvature of its two surfaces is much larger than its thickness. It is placed in the path of a beam of parallel light. The beam will

A beam of light, consisting of red, green and blue colours, is incident on a right – angled prism, as shown in Fig. The refractive indices of the material of the prism for the red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will

n^th bright fringe of red light (λ₁ = 7500 Å ) Coincides with (n + 1)^th bright fringe of green light (λ₂ = 6000 Å ). The value of n = _____________.

The diagram below shows a light ray parallel to the principal axis of a spherical convex (diverging) mirror. point F is the virtual focal point of the mirror and C is the centre of curvature. After the light ray is reflected, it will pass through point

Statement I The formula connecting u, v and f for a spherical minor is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Statement II Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.