Find the minimum thickness (in nm) of a soap bubble that appears red when illuminated by white light perpendicular to its surface. Take the

Question

Find the minimum thickness (in nm) of a soap bubble that appears red when illuminated by white light perpendicular to its surface. Take the wavelength to be 680 nm, and assume the same index of refraction as water.

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Thu Cúc 6 months 2021-07-21T12:32:52+00:00 1 Answers 9 views 0

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  1. Vodka
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    2021-07-21T12:34:14+00:00
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    Answer:

    The thickness of the soap bubble is 170 nm.

    Explanation:

    Given that,

    Wavelength of light, \lambda=680\ nm

    We need to find the minimum thickness of a soap bubble that appears red when illuminated by white light perpendicular to its surface. Let t is the minimum thickness of the film. When reflection is taking place at an interface, then the condition for constructive interference is given by :

    2t=\dfrac{\lambda}{2}\\\\t=\dfrac{\lambda}{4}\\\\t=\dfrac{680\times 10^{-9}}{4}\\\\t=1.7\times 10^{-7}\ m\\\\t=170\ nm

    So, the thickness of the soap bubble is 170 nm.

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