As d = i1 + i2 – A hence for d to be minimum should be zero.
di2 = – di1 on integrating we get
i2 = – i1, hence for minimum deviation it is necessary that magnitude of i1 and i2 should be same. In such a situation angle r1 and r2 will also become equal.
Since A = r1 + r2 = 2r1
\ r1 = A/2
from d = i1 + i2 – A at the time of minimum deviation i1 = i2 in magnitude hence
dm = 2i1 – A
Using snells's law
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