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When the surface of the lake is calm, a fish, submerged in water will see the entire outside world within an inverted cone whose apex is situated at the eye of the fish and the cone subtends an angle of $(μ_{w} = \frac{4}{3})$

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$98^{o}$

$60^{o}$

$10^{o}$

$30^{o}$

answer is C.

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Detailed Solution

A fish submerged in water can able to view the outside world as shown in figure with apex angle 2C

We know

${}_{air}{μ_{water}} = \frac{1}{\sin C} = \frac{μ_{w}}{μ_{air}}$

$μ_{w} = \frac{4}{3}$

$\frac{4}{3} = \frac{1}{\sin C}$

$\sin C = \frac{3}{4}$

$C = 49^{o}$

$2 C = 2 \times 49 = 98^{o}$

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