A lens with focal length 10 cm is placed in a ray of sunlight, and a prism is pl

Question

A lens with focal length 10 cm is placed in a ray of sunlight, and a prism is placed at the "downstream" focal point of the lens. The light passing through the prism is broken into its component colors. If it is an equilateral prism(all of the prism angles are 60 degrees), made of crown glass(n=1.52), and the light is incident at a 30 degree angle to one face of the prism.

a) how far from the lens is the prism placed?

b) what is the angle of deviation for light (greenish yellow) of wavelength 589 nm?

c) what angle of incidence is required for total internal reflection within the prism?

Explanation / Answer

Part a

Prism is placed at a distance 10 cm from the lens because it is placed at focal point of the lens.

Part b

angle of deviation for light = (n-1)*A = (1.52-1)*600 = 31.20

Part C

angle of incidence is required for total internal reflection, ic = sin-1(1/n) = sin-1(1/1.52)

                                                                                                                     = 41.140

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