As
shown in the figure, a
2.00 m long vertical pole extends from the
bottom of a swimming pool to a point 50.0 cm
above the water.
Sunlight is incident at
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Solution: Click For PDF Version The length of the pole above the water is
and the length of the pole inside the water is
The sunrays
are incident at an angle
From the diagram shown above we note that the shadow of the pole on the level bottom of the pool will be given by the line AC.
We note that
the angle of incidence of the sunrays with the normal to the surface
of water is
Index of refraction of water is
Therefore,
Therefore, length AB will be
From geometry we note that the length BC will be
Therefore, the length of the shadow of the pole on the bottom level of the pool will be
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above the horizon. We
have to find the length of the shadow of the pole on the level bottom
of the pool.
,
.
.
Therefore, the angle of refraction of the sunrays inside the water
can be determined using the Snell’s law.
.
.
.