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Byju's Answer
Standard X
Mathematics
Calculating Heights and Distances
How is the re...
Question
How is the refractive index of water related to the real depth and the apparent depth of a column of water ?
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Solution
Let us table a tank full of water having a depth of d and it appears to be at a depth i.e a is apparent depth.
μ
w
is refractive index of water so now from snells law
μ
w
sin
i
=
sin
r
μ
w
=
sin
r
sin
i
and for small angle;
sin
θ
=
θ
=
tan
θ
hence,
μ
w
=
tan
r
tan
i
tan
r
=
A
a
,
tan
i
=
A
d
hence
μ
w
=
d
a
=
real depth
apparent depth
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