Two thin prisms of equal apex angle are placed in contact with their bases oppositely…
PHYSICS · Multi-part · CBSE · Physics · Ray Optics and Optical Instruments · Ray Optics and Optical Instruments
Problem
Two thin prisms of equal apex angle are placed in contact with their bases oppositely oriented so that a beam of white light enters both prisms coaxially. The first prism is made of flint glass for which the refractive indices are μr1=1.65 (red) and μv1=1.69 (violet). The second prism is made of crown glass having μr2=1.52 and μv2=1.54.
(i) Derive the condition relating the apex angles A1 and A2 of the two prisms so that the red component suffers zero net deviation after passing through the combination.
(ii) If A1=4.0∘, determine the required value of A2 to satisfy the above condition.
(iii) For the value of A2 found in part (ii), calculate the net angular separation produced between violet and red rays on emergence from the combination.