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A lab technician uses laser light with a wavelength of 650 nm to test a diffraction grating. When the grating is 40.4 cm from the screen, the first-order maxima appear 6.09 cm from the center of the pattern.How many lines per millimeter does this grating have?

Respuesta :

Answer:

Number of lines per mm grating =229

Explanation:

First of all, let's make use of the grating equation which is;

dsinĪø=nĪ»,

where n=1 for a first order maximum.

Also tanĪø=6.09/40.4, giving So, Īø= tan^(-1) 0.1507 = 8.572Ā°.

So, d=Ī»/sinĪø=

(650x10ā»ā¹)/sin8.572Ā°=

4.36x10ā»ā¶m

Converting this to mm, we have d = 4.36x10ā»Ā³mm

Now from formulas, number of lines (N) = 1/d

So, N = 1/d = 1/(4.36x10ā»Ā³) = 229.36 which is approximately 229 lines

good job