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If a soap bubble is 115 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that n = 1.33. Express your answer to three significant figures and include the appropriate units.

Respuesta :

Answer:

[tex] 611.8[/tex] nm

Explanation:

[tex]n_{oil}[/tex] = Index of refraction of soap bubble  = 1.33

[tex]t[/tex] = thickness of the soap bubble = 115 nm = 115 x 10⁻⁹ m

[tex]\lambda[/tex] = wavelength of light = ?

[tex]m[/tex] = order = 0

For reflection , the necessary condition is

[tex]2 n_{oil} t = (m + 0.5) \lambda[/tex]

[tex]2 (1.33)(115\times 10^{-9})= (0 + 0.5) \lambda[/tex]

[tex]\lambda = 6.118\times 10^{-7}[/tex]

[tex]\lambda = 611.8[/tex] nm

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