A pile 4m high driven into the bottom of a lake is 1m above the water . Determine the length of the shadow of the pile on the bottom of the lake if the sun rays make an angle of 45^@ with the water surface . The refractive index if water is 4/3.
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Explanation:
Solution :
From Snell's law,
4/3=sin45°/sin r
Solving this equation , we get
r=32°
Further,
EF=(DF) tanr=(3)tan32°
=1.88m
Total length of shadow, L=CF or L=(1+1.88)m
=2.88m
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