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Physics Question on Reflection Of Light By Spherical Mirrors

In a pond of water, a flame is held 2 m above the surface of water. A fish is at depth of 4 m from water surface. Refractive index of water is 43. The apparent height of the flame from the eyes of fish is:

A

(A) 5.5 m

B

(B) 6 m

C

(C) 83m

D

(D) 203m
Correct Answer

Answer

(D) 203m
Correct Answer

Explanation

Solution

Explanation:
Given:Depth of the fish from the surface of the water = 4 mHeight of the flame BC = 2 mRefractive index of the water, μ = 43We have to find the the apparent height of the flame from the eyes of the fish. The ray diagram is shown below:When viewed from the rarer medium, the apparent height isApparent height=Real heightRefractive index of the denser mediumBut, when viewed from the denser medium, the apparent height isApparent height=Real height × Refractive index of the deser medium⇒AC=BC×μ⇒AC=2×43=83⇒AC=83Thus, the total apparent height of the flame from the eyes of the fish isAD=AC+CD⇒AD=83+4m=203mHence, the correct option is (D).