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
To learn more about Double slit experiment , refer:
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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.
