Question

A ray of light passes through an equilateral prism (refractive index 1.5) such that angle of incidence is equal to angle of emergence and the latter is equal to 3/4th the angle of the prism.
Calculate the angle of prism.

Answer 1

Dear Student ,
i + e = A+ d

i --->angle of incidence

e--->emergence

A--->angle of prism

d---->angle of deviation

i=e= (3/4)A

(3/4)A+(3/4)A=A+d

1.5 A-A=d

d=A/2

A=60 degree (equilateral prism)

Regards