A double slit is illuminated simultaneously with light of wavelength 700 nm and light of an unknown wavelength. The m = 4 bright fringe of the unknown wavelength overlaps the m = 3 bright orange fringe.

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07-12-2022
Mathematics

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A double slit is illuminated simultaneously with light of wavelength 700 nm and light of an unknown wavelength. The m = 4 bright fringe of the unknown wavelength overlaps the m = 3 bright orange fringe.

Sagot :

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contexto1024 contexto1024 · Answer 1 · 2022-12-09T22:12:15-05:00

The unknown wavelength of a light with m= 4 bright fring overlaps m = 3 bright orange fringe and used in a double slit is 450 nm.

Double Slit experiment:

In modern physics, the double-slit experiment shows that light and matter can exhibit properties of both classically defined waves and particles.

Furthermore, it demonstrates the fundamental stochastic nature of quantum mechanical phenomena.

Formula ,

λ = x.d/n.L

where , λ = wavelength of light used (nm)

x = distance from central fringe (m)

d = distance between the slits (m)

n = the order of the fringe

L = length from slits to the viewing screen (m)

thus, taking ratios for the two waves: let w = unknown wavelength

600/w = 4/3 (as other factors are same for both)

thus, w = 450 nm

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Complete questions :

A double slit is illuminated simultaneously with light of wavelength 700 nm and light of an unknown wavelength. The m = 4 bright fringe of the unknown wavelength overlaps the m = 3 bright orange fringe What is the unknown wavelength? Express your answer to three significant figures and include the appropriate units.

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