Explanation Given info: The total depth of ice and water is 3.25 m and depth of the layer of ice is 0.38 m . The formula to calculate the velocity of light in ice is, v ice = c n ice Here, v is the velocity of light in medium. c is the velocity of light in vacuum. n is the refractive index of ice. The formula to calculate the time taken by the ray to travel along the ice layer of thickness 0.38 m is, t ice = d ice v ice Here, d ice is the thickness of layer of ice. v ice is the velocity of light in ice. Substitute c n for v ice in the above formula. t ice = d ice v ice = d ice c × n ice Substitute 0.38 m for d ice , 3 × 10 8 m / s for c , 1.31 for n ice in the above formula. v ice = t ice c × n ice = 0.38 m × 1.31 ( 3 × 10 8 m / s ) = 1.65 ns The depth of water is, d water + ice = 3.25 m d i c e = 0.38 m d water = d water+ice + d ice = 3.25 m − 0.38 m d water = 2.87 m The formula to calculate the velocity of light in water is, v water = c n water Here, v is the velocity of light in medium

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ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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Dispersion of White Light

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Chapter 26, Problem 51PCE

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The time required for light to travel vertically from the surface of the ice to the bottom of the pond.

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Chapter 26, Problem 50PCE

Chapter 26, Problem 52PCE

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Chapter 26 Solutions

Physics (5th Edition)

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