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The least deflection angle of a ceratin glass prism is equal to its refracting angle. Find the latter. |
Answer» In this case we have `sin .(alpha + theta)/(2) = n sin .(theta)/(2)` (see soln. of 5.20) In our problem `alpha = theta` So, `sin theta = n sin (theta//2)` or `2 sin (theta//2) cos (theta//2) = n sin (theta//2)` Hence `cos (theta//2) = (n)/(2)` or `theta = 2 cos^(-1) (n//2) = 83^(@)`, where `n = 1.5` |
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