What is the wavelength in nm of a light whose first order bright band forms a diffraction angle of 19.0°, and the diffraction grating has 600.0 lines per mm?

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Answer:

What is the wavelength in nm of a light whose first order bright band forms a diffraction angle of 19.0°, and the diffraction grating has 600.0 lines per mm?

543 nm

Explanation:

The wavelength in nm of a light whose first order bright band forms a diffraction angle of 19.0° is 543 nm.

What is wavelength?

The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave.

Using Huygen's principle of light, we have an expression

nλ =d sinθ

where, n is the order of maximum

           λ is the wavelength of light

           d is the distance between the lines on diffraction grating

           θ is the angle.

The distance between the lines on diffraction grating  is

d = 1 / (600 x 1000) or 0.00000167 m

For first order bright band, n = 1


Then, the wavelength will be

1 x λ = 0.00000167 x sin19.0°,

λ    = 0.000000543 m

 λ   = 543 nm

Thus, the wavelength of the first order bright band is 543 nm .

Learn more about wavelength.

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