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Q.

A bird in air looks at a fish vertically below it and inside water; $h_{1}$ is the height of the bird above the surface of water and $h_{2}$ the depth of the fish below the surface of water. If refractive index of water with respect to air be $μ$ , then the distance of the fish as observed by the bird is:

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a

$h_{1} + h_{2}$

b

$μ h_{1} + h_{2}$

c

$μ (h_{1} + h_{2})$

d

$h_{1} + \frac{h_{2}}{μ}$

answer is B.

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Detailed Solution

$μ = \frac{R \cdot D}{A \cdot D} S = h_{1} + \frac{h_{2}}{μ}$

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A bird in air looks at a fish vertically below it and inside water; h1 is the height of the bird above the surface of water and h2 the depth of the fish below the surface of water. If refractive index of water with respect to air be μ , then the distance of the fish as observed by the bird is: