Practicing Success
The refractive index of the material of an equilateral prism is $\sqrt{2}$. The angle of minimum deviation of that prism is ________. Fill in the blank with the correct answer from the options given below. |
60° 75° 30° 90° |
30° |
$ \mu = \frac{sin\frac{A+D_m}{2}}{sin\frac{A}{2}} $ $ A = 60^o$ $\Rightarrow \sqrt{2}= \frac{sin(\frac{60^o+D_m}{2}}{sin30^o}= 2 sin(\frac{60^o+D_m}{2} $ $\Rightarrow sin(\frac{60^o+D_m}{2} = \frac{1}{\sqrt{2}} = sin 45^o$ $ \frac{60^o+D_m}{2} = 45^o \Rightarrow D_m = 30^o$ The correct answer is Option (3) → 30° |