(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a) Light of wavelength 651 nm illuminates a grating with 3,424 slits per cm. If the screen is 1.08 m away, what is the spacing between the interference maxima?

b) A laser cavity of length 0.2400 m, has reflecting mirrors at each end. What is the frequency, in GHz, of the 20-th allowed mode? Answer to at least 3 significant figures. Assume that the speed of light in the cavity is 2.998E+8 m/s. First find the fundamental frequency for standing waves in this cavity. This is a basic standing waves question!

3. The attempt at a solution

a) So far I have tried this:

d=1/N=1/342400=2.92e-6m

then dsinθ=mλ

I know d and λ, but now I have two unknowns in m and theta. Where to from here?

b) I used 3 formulas, namely

L=mλ/2 (1)

V=mc/2L (2)

and f=v/λ (3)

where m = mth mode = 20

L= length of laser cavity = 0.24m

c=2.998e8

I calculated λ from equation 1 to be = 2L/m = 2*0.24/20 = 0.024m and velocity using equation 2 to be = 20*2.998e8/2*0.24 = 1.24e10m/s

Then using equation 3, f = 1.24e10/0.024

I get an answer of 520GHz as opposed to the correct answer of 12.49GHz.

Am I using the wrong formula/formulae?

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# Homework Help: Spacing between interference maxima

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