Homework Help: Diffraction Grating coursework

1. Aug 6, 2009

WenyiJones

1. The problem statement, all variables and given/known data
A diffraction grating of 3900 slits per centimeter is used to analyze the spectrum of mercury.
(a) Find the angular separation in the first-order spectrum of the two lines of wavelength 579 nm and 577 nm.
(b) How wide must the beam on the grating be for these lines to be resolved?

2. Relevant equations

dsin(theta)=m*lumda

3. The attempt at a solution

what is the angular separation? Is it just Theta?

2. Aug 6, 2009

Fightfish

Yes, the angular separation is theta. You might want to read up on the derivation of the equation (if you haven't) so as to better understand it.

3. Aug 6, 2009

Redbelly98

Staff Emeritus
The way I read the question, angular separation would be the difference between the two angles (thetas) that you would calculate here.

4. Aug 6, 2009

WenyiJones

the equation i used was:

maximum equation for multi-slit interference
d sin(theta)=m*lamda

d=distance between two slits
m=the interger called the order (bright spots)
theta=angular seperation
lamda=wavelength

but when i plugged in numbers, the sin(theta) i got was easily over 1, that is obviously wrong. what's wrong with it?

5. Aug 6, 2009

WenyiJones

okay, the whole time i was calculating wrong.

it's correct!