Question

Monochromatic light of wavelength *λ*_{1} is sent
through two closely-spaced slits separated by a distance
*d*_{1} = 1.8 mm. A resulting interference pattern
is shown on a screen *L*_{1} away. Another
monochromatic light source, this one of wavelength
*λ*_{2}, is sent through a diffraction grating
toward the same screen, resulting in a second interference pattern.
The diffraction grating is a distance *L*_{2} from
the screen and has 400 lines per mm etched onto it.

A) Assume that *L*_{1} = *L*_{2} =
4.8 m and that *λ*_{1} = *λ*_{2} =
*λ*. Which interference pattern will have a greater angular
separation between its *m* = 1 bright fringes? Explain.

B) If the interference pattern from the double slit produces 5
bright fringes/cm, what is the wavelength *λ* of the
light?

Answer #1

Bichromatic light of wavelengths λ1=572λ1=572 nm and
λ2=647λ2=647 nm is incident on a double-slit plate. The separation
between the slits dd and the width of each slit are not given. The
distance between the viewing screen and the plate is
L=1.0L=1.0m.
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cm

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