Question

На мыльную пленку падает белый свет под углом 60 градусов.при какой наименьшей толщине пленки отражённые лучи будут в зеленый цвет (λ=0,53 мкм)? показатель преломления мыльной воды 1,33

Answer 1

Вот, вроде бы так, но это не точно..........

Answer 2

Calculation of Minimum Thickness of Soap Film for Green Light

To determine the minimum thickness of the soap film required for reflected light to appear green, we can use the concept of thin film interference. Thin film interference occurs when light waves reflect off the top and bottom surfaces of a thin film, leading to constructive or destructive interference depending on the thickness of the film.

The condition for constructive interference is given by the equation:

2nt = mλ

Where: - n is the refractive index of the medium (in this case, soap water with a refractive index of 1.33) - t is the thickness of the film - m is an integer representing the order of the interference (1, 2, 3, ...) - λ is the wavelength of the light (in this case, 0.53 μm for green light)

We need to find the minimum thickness of the film, so we can consider the first-order interference (m = 1).

Substituting the given values into the equation, we have:

2 * 1.33 * t = 1 * 0.53 μm

Simplifying the equation, we find:

t = 0.2 μm

Therefore, the minimum thickness of the soap film required for the reflected light to appear green (λ = 0.53 μm) is 0.2 μm.