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CBSE Class 12-science Answered

5th mcq with explanation 
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Asked by lovemaan5500 | 07 Dec, 2019, 08:55: PM
answered-by-expert Expert Answer
Angle of prism A, Angle of minium deviation Dm and refractive index n of material of prism are related as
 
n = Sin [ (A+Dm)/2 ] / Sin ( A/2)  ..............(1)
 
if angle of minumum deviation equals angle of prism , then we rewrite eqn.(1) as, 
 
n = Sin (A) / Sin(A/2) = 2 cos(A/2) = 1.5 
 
Hence, cos(A/2) = 0.75  , i.e. A/2 = cos-1 ( 0.75 ) = 41°
 
i.e., angle of prism A = 82°
 
Answered by Thiyagarajan K | 07 Dec, 2019, 09:19: PM

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