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A fish looking up through the water sees...

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 is cm is

A

`36sqrt(5)`

B

`4sqrt(5)`

C

`36sqrt(7)`

D

`36//sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
4
`mu_(w)sintheta_(c)=mu_(a)xxsin90^(@)`
`"sin"theta_(c)=(1)/(underset(a)""mu_(w))=(3)/(4)`
`"sin"theta_(c)=(R )/(sqrt(R^(2)+12^(2)))=(3)/(4)`
`16R^(2)=9R^(2)+(36^(2))`
`R=(36)/(sqrt(7))`
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