Optics Ray Optics Mock Tests

A monochromatic light beam passes from air (n1 = 1.0) into a glass slab (n2 = 1.5). If the angle of incidence is 37 deg and the angle of refraction is 23 deg, the speed of light in glass is (c = 3 x 10^8 m/s):

A convex lens of focal length 30 cm is cut into two equal halves along its principal axis. The focal length of each half is:

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length 30 cm. The power of the combination is:

A converging lens of focal length f₁ and a diverging lens of focal length f₂ are separated by distance d. For the combination to behave as a plane glass plate (infinite focal length), the separation d must be:

A convex lens of focal length f1 = 20 cm forms an image of an object placed at u = 30 cm. A concave lens of focal length f2 = -10 cm is placed 50 cm behind the convex lens. The final image distance from the concave lens is:

Light is incident from glass (refractive index 1.5) onto a glass-air interface. The critical angle for total internal reflection is approximately:

A light ray is incident on a glass slab of refractive index √3 at an angle of 60°. The thickness of the slab is t. If the lateral displacement of the emergent ray is d = t/√3, find the relationship between t and d.

A convex lens of focal length f1 = 20 cm is placed in contact with a concave lens of focal length f2 = -30 cm. An object is placed 60 cm from the combination. The image distance from the combination is: