A person is standing in front of an aquarium. Front surface of aquarium is curved and have radius of curvature as 10 cm. Refractive index of glass is 1.5 and that of water is 1.2. If person is at 30 cm from curved surface, then (Thickness of glass is very small)

Real image of person is formed inside water.

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Virtual image of person is formed in water.

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Distance of real image from curved surface is 72 cm.

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Image is formed at infinity.

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Solution

The correct options are
A Real image of person is formed inside water.
C Distance of real image from curved surface is 72 cm.
Image formed by the curved surface of the glass:
$\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R} \Rightarrow \frac{1.5}{v_{1}} + \frac{1}{30} = \frac{1.5 - 1}{10}$
$\frac{3}{2 v_{1}} = \frac{1}{20} - \frac{1}{30} \Rightarrow v_{1} = 90 c m$
Image formed by the flat surface of the water:
$\frac{1.2}{1.5} = \frac{v_{2}}{v_{1}} = \frac{v_{2}}{90} \Rightarrow v_{2} = 75 c m$

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