Find Number of First Missing Maximum in Double Slit Diffraction Pattern

[ttk3]

Homework Statement

A double slit is composed of two single slits. Each slit has a width of w = 0.01 mm and they are spaced s = 0.04 mm apart. Because the double slit is actually two single slits, the single slit diffraction pattern is superimposed over the double slit pattern and so some of the double slit maxima are missing because they overlap with single slit minima. Find the number (m) of the first missing maximum in the double slit pattern.

Homework Equations

wavelength = (y_m/m)(s/l)

The Attempt at a Solution

s = 0.04 mm
w=0.01 mm

I am completely lost on this one. I know I need the wavelength to find this answer along with the maxima value (y_m) and a value for L. could you please help me get started?

 

[Redbelly98]

You have the double-slit equation. You'll also need the single-slit equation in order to find the first single-slit minimum.

It's possible the wavelength term will cancel out in the equations.