2. A mixture of red light (hu uu 640 nm) and green light (λ acuum 512...

Question

Question

2. A mixture of red light (hu uu 640 nm) and green light (λ acuum 512 nm) shines perpendicularly on a soap film (n-1 31) that

Answer 1

Answer #1

Refractive index of a medium is given by

Velocity of light in vacuum velocity of light in the medium λvacuum λmediurn c v

For green light traveling through the soap

vacuum 1.31- soap

512 or.(oap g 1.31 nm- 390.84 nmm

The soap film will act as a half-wave plate and introduce a path difference of half the wavelength.

For the film to look red, the thickness of the soap must be half of the wavelength for green light i.e.,

t -(isoap)x84 x 10-9 m 1.95 x 10-7 m g 2

This is the thickness of the film.

Answer 2

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