Optics Question 942
Question: The curve of angle of incidence versus angle of deviation shown has been plotted of prism. The value of refractive index of the prism used is:
Options:
A) $ \sqrt{3} $
B) $ \sqrt{2} $
C) $ \frac{\sqrt{3}}{\sqrt{2}} $
D) $ \frac{2}{\sqrt{3}} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ \delta =i+e-A $ $ {\delta _{\min }}=60^{o} $ when $ i=e $
$ \Rightarrow $ $ 60^{o}=2i-A=2(60^{o})-A $
$ \Rightarrow $ $ A=60^{o} $ $ \mu =\frac{\sin ( \frac{A+{\delta _{\min }}}{2} )}{\sin ( \frac{A}{2} )}=\frac{\sin ( \frac{60+60}{2} )}{\sin ( \frac{60}{2} )}=\sqrt{3} $
