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 f is cut into two equal halves along its principal axis. The two halves are then separated by a distance d along the perpendicular direction. An object is placed on the principal axis at a distance u from the original center of the lens. The separation between the two images formed is:

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:

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

A convex lens of focal length f is cut into two equal halves along its principal axis. The two halves are separated by a distance d along the axis. An object is placed at distance u from the first half. The distance between the two images formed is:

A converging lens of focal length f_1 is in contact with a diverging lens of focal length f_2. The combination has an effective focal length F. If the converging lens is removed and the diverging lens is placed in a liquid of refractive index mu_l, its focal length becomes f_2' = f_2*mu_l/(mu_l - mu_g) where mu_g is the refractive index of the glass. The new effective focal length when the converging lens is used alone in air is:

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