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A coin is placed at the bottom of a beaker containing water (refractive index = 4/3) at a depth of 16 cm. By what height the coin appears to be raised when seen from vertically above?

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Question

A coin is placed at the bottom of a beaker containing water (refractive index = 4/3) at a depth of 16 cm. By what height the coin appears to be raised when seen from vertically above?

Numerical
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Solution

Given: Refractive index of water μ = `4/3`,

Real depth of coin = 16 cm

To find: Apparent depth = ?

Formula: μ water = `"real depth"/"apparent depth"`

`4/3 = 16/"apparent depth"`

∴ Apparent depth = `16 xx 3/4 = 12` cm

∴ Apparent Rise = Real Depth − Apparent Depth

= 16 – 12

= 4 cm

∴ Coin appears to be raised by 4 cm.

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Chapter 4: Refraction of Light at Plane Surfaces - EXERCISE - 4 (C) [Page 92]

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Selina Physics [English] Class 10 ICSE
Chapter 4 Refraction of Light at Plane Surfaces
EXERCISE - 4 (C) | Q 2. | Page 92
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