Question

A grating with 320 slits/centimeter is illuminated with light of wavelength 493 nm. (a) What is...

A grating with 320 slits/centimeter is illuminated with light of wavelength 493 nm.

(a) What is the highest order number that canbe observed with this grating?

(b) Repeat for a grating of 1376 slits/centimeter.

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Answer #1

1/320 means that each slit has a length of 3.125x10^-3 cm dsintheta = m lamba

sin theta = mlamba / d

We try values of m until mlamba/d is > 1

493x10^-9/3.125x10^-3

This should work up to m=1.576*10^-4

B)

1/1376 means that each slit has a length of 7.267x10^-4 cm dsintheta = m lamba

sin theta = mlamba / d

We try values of m until mlamba/d is > 1

493x10^-9/7.267x10^-4

This should work up to m=6.78*10^-4

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