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10 November, 06:26

A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5. The wavelength of the laser light in vacuum is L/10 and its frequency is f In this problem, neither the constant c nor its numerical value should appear in any of your answers. (1) How long does it take for a short pulse of light to travel from one end of the glass to the other?

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  1. 10 November, 08:52
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    15/f s

    Explanation:

    The refractive index n = 1.5 of the glass is n = λ₁/λ₂ where λ₁ = wavelength of monochromatic light in vacuum = L/10 and λ₂ = wavelength of monochromatic laser in glass.

    So, λ₂ = λ₁/n.

    We know the speed of light in glass, v = fλ₂ and λ₂ = v/f.

    The light covers a distance d = L in time, t = d/v (since v = d/t)

    So, the time it takes the pulse of light to travel from one end of the glass to the other is t = d/v = L/fλ₂ = L/fλ₁/n = nL/fλ₁ = nL/fL/10 = 10 * 1.5/f = 15/f s

    So, the time it takes the pulse of light to travel from one end of the glass to the other is t = 15/f s
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