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Question: Answered & Verified by Expert
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 $12 \mathrm{~cm}$ below the surface, the radius of this circle (in $\mathrm{cm}$ ) is
PhysicsRay OpticsVITEEEVITEEE 2016
Options:
  • A $36 \sqrt{5}$
  • B $4 \sqrt{5}$
  • C $36 \sqrt{7}$
  • D $36 / \sqrt{7}$
Solution:
2439 Upvotes Verified Answer
The correct answer is: $36 / \sqrt{7}$
$\sin i_{c}=\frac{1}{\mu}=\frac{r}{\sqrt{r^{2}+h^{2}}}$
Using $h=12 \mathrm{~cm}, \mu=4 / 3$


We get $\mathrm{r}=\frac{36}{\sqrt{7}} \mathrm{~cm}$

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