Optics Question 837

Question: A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface, the radius of this circle (in cm) is -

Options:

A) $ 36\sqrt{5} $

B) $ 4\sqrt{5} $

C) $ 36\sqrt{7} $

D) $ 36/\sqrt{7} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ \sin i _{c}=\frac{1}{\mu }=\frac{r}{\sqrt{r^{2}+h^{2}}} $

$ \text{Using }h=12cm,\mu =4/3 $

$ \text{We get }r=\frac{36}{\sqrt{7}}cm. $



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