Question

A fish in a lake is at a 6.3 m distance from the edge of the lake. If it is just able to see a tree on the edge of the lake, its depth in the lake is _______ m. Refractive index of the water is 1.33.(A) 6.30 (B) 5.52 (C) 7.5 (D) 1.55

Answer 1

Thus the depth in the lake is 5.52 m

Option (B) is correct.

Explanation:

Sin θc =  1 / μ

tan θ = 6.3 / h

Sin  θc  = 1 / 1.33 ( 100 / 133)

tan θ = ln / √  133^2 - 100^2 6.3 / h

h = 6.3√ 133^2 - 100^2 / 100

h = 6.3 x 87.68 / 100

h = 5.52 m

Thus the depth in the lake is 5.52 m

Also learn more

If pressure at half the depth of a lake is equal to 3/4 pressure at the bottom of the lake then what is the depth of the lake ?

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