CBSE Class 12-science Answered
The angle of prism is 30 degree . The rays incident at 60degree on an refracting surface suffers a deviations of 30 degree calculate angle of emergency.
Asked by Ishakashyap290 | 07 Feb, 2021, 08:01: PM
Expert Answer
Angle of emergence e is determined from the following relation
δ = i + e - A .............. (1)
where δ is angle of deviation , i is angle of incidence, e is angle of emergence and A is angle of prism.
If we substitute i = 60 , δ = 30 and A = 30 , we get e = 0 , which is not possible.
That means a prism with angle A = 30o can not give angle of deviation 30o if the angle of incidence is 60o
-------------------------------
Let us solve this problem using law of refraction
Let the refractive index n of material of prism be 1.5
sin (i ) / sin (r1) = 1.5 or sin(r1) = sin60/1.5 = 0.5773 or r1 = 35o
Hence from figure we get , 
ABC = 55O , hence ACB = ( 180 - 30 -55 ) = 95o
ABC = 55O , hence ACB = ( 180 - 30 -55 ) = 95o Hence angle of incidence at other face , r2 = 5o
sin(r2 ) / sin(e) = 1/1.5 = 2/3 or sin(e) = sin( 5o ) / 0.6667 = 0.1307 or angle of emergence e = sin-1 (0.1307 ) = 7.5o
Answered by Thiyagarajan K | 08 Feb, 2021, 03:12: PM
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