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Chapter 33: Q. 39 (page 956)

A diffraction grating having 500lines/mmdiffracts visible light at 30鈭�.What is the light's wavelength?

Short Answer

Expert verified

The wavelength of sunshine is 位=500nm.

Step by step solution

01

Step: 1 Finding the grating spacing:

The constant value of grating is 500lines/mm,the spacing by

d=1mm500d=2脳10鈭�6m.

02

Step: 2 Equating the equation:

In equation of grating,the light diffraction light wavelength by

dsin鈦�胃m=m位鈬�位=dsin鈦�胃mm.

03

Step: 3 Obtaining the wavelength value:

From expression of wavelength

位=2脳10鈭�6脳sin鈦�30鈭�m位=1000nmm.

As we're seeing, there should only be one value of mthat corresponds to a wavelength within the visible region and therfore the mwill be 2,The wavelength are500nm.

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