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Question

A bird flies down vertically towards a water surface. For a fish inside water, vertically below the bird, the bird will appear

A
to be farther away than the actual distance.
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B
to be closer than the actual distance.
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C
to move faster than its actual speed
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D
to move slower than lts actual speed.
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Solution

The correct options are
A to be farther away than the actual distance.
C to move faster than its actual speed
If μ be the relative refractive index of the 2 materials,

then Real HeightApparent Height=1μ

Thus, the apparent height of the bird will be more when viewed by the fish.

For refraction at plane surfaceμ2v=μ1ω

Let x be the height of bird above water For light travelling from bird to fish
μ1=1;μ2=μ

ω=x

μv=1x

v=μx

|v|=μx>x

Speed of bird=x

Apparent speed of bird=|v|

=μx

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