## Light of wavelength 600 nm illuminates a diffraction grating. the second-order maximum is at angle 39.5 ∘. part a how many lines per millime

Question

Light of wavelength 600 nm illuminates a diffraction grating. the second-order maximum is at angle 39.5 ∘. part a how many lines per millimeter does this grating have?

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2022-04-16T01:00:04+00:00 2 Answers 0

## Answers ( 2 )

1. The number of lines per millimeter that the grating has is : u2248 530 lines

Given data :

light wavelength = 600 nm

second order maximum angle ( x ) = 39.5u00b0

order of maximum = 2

### Determine the number of lines the grating will have

We will apply diffraction equation

[tex]d*sinx = m*wavelength[/tex] — ( 1 )

where : d = spacing of lines, x = 39.5u00b0, m = 2

Insert values into equation ( 1 ) above

d * Sin ( 39.5 ) = 2 * 600 * 10u207bu2079

therefore ; d = 1.88656 * 10u207bu2076 m

Final step : determine the number of lines per mm

Number of lines per mm

= 0.001 / d

= 0.001 / (1.88656 * 10u207bu2076 ) u2248 530 lines

Hence we can conclude that The number of lines per millimeter that the grating has is u2248 530 lines

2. 