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Bichromatic light of wavelengths λ1=572λ1=572 nm and λ2=647λ2=647 nm is incident on a double-slit plate. The...

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.

The first interference maximum of the 572 nm-wavelength of light is observed at y1=4.4y1=4.4 mm. What is the slit spacing, dd?

Using the far-field approximation, calculate the separation between the m=3m=3 interference maxima of λ1λ1 and λ2λ2.

There is a dark fringe where the m=6m=6-order bright fringe in the interference pattern of the λ2λ2 light should be. This corresponds to the n=1n=1-order diffraction minimum. Use this information to calculate the width of the slit, aa.

Calculate the width of the central maximum of the diffraction pattern of the λ2=647λ2=647 nm-wavelength light.

Calculate the number of bright fringes (interference maxima) within the central diffraction peak of the λ=λ2λ=λ2-wavelength light.

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