A fish is swimming in a river at a depth of 20 cm from the surface of the water- Refractive Index of water is 4-3- At what depth will an eagle flying above the water and exactly above the fish will see the fish-

Given: Refractive index of water, μ_water nbsp;= 4/3 Real depth of fish from surface of water nbsp;= 20 cm In the given situation, Refractive Index of wat ...

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Standard X

Physics

Refraction through a Rectangular Glass Slab

A fish is swi...

Question

A fish is swimming in a river at a depth of 20 cm from the surface of the water. Refractive Index of water is $\frac{4}{3}$ . At what depth will an eagle flying above the water and exactly above the fish will see the fish?

10 cm

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20 cm

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26.66 cm

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15 cm

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Solution

The correct option is D
15 cm

Given:
Refractive index of water, $μ_{w a t e r}$ = $\frac{4}{3}$
Real depth of fish from surface of water $= 20 c m$
In the given situation,
Refractive Index of water $= μ_{w a t e r} = \frac{R e a l d e p t h}{A p p a r e n t d e p t h}$
$\Rightarrow A p p a r e n t d e p t h = \frac{R e a l d e p t h}{μ_{w a t e r}}$
$\Rightarrow A p p a r e n t d e p t h = \frac{20}{\frac{4}{3}}$
Therefore, $A p p a r e n t d e p t h = \frac{20 \times 3}{4}$ = 15 cm. The eagle will perceive the fish to be at $15 c m$ depth from the water surface.

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