Interference/diffraction pattern formed by 2 slits

[uwbadger17]

Homework Statement

interference/diffraction pattern formed by two slits for light with λ=600nm on a wall L=2.0m from the slits. find a (width) and d (separtation of slits.

Homework Equations

looking at the figure given d/a=5
dsin(theta)=mλ
asin(theta)=mλ

The Attempt at a Solution

so dsin(theta)=5(lambda) and asin(theta)=1λ
also looking at the figure the dark spot appears .0045m from the center point.
How do I solve for theta?

 

[PeterO]

Homework Statement

interference/diffraction pattern formed by two slits for light with λ=600nm on a wall L=2.0m from the slits. find a (width) and d (separtation of slits.

Homework Equations

looking at the figure given d/a=5
dsin(theta)=mλ
asin(theta)=mλ

The Attempt at a Solution

so dsin(theta)=5(lambda) and asin(theta)=1λ
also looking at the figure the dark spot appears .0045m from the center point.
How do I solve for theta?

Unfortunately we don't have the luxury of being able to "look at the figure given".