Double Slits experiment central fringe intensity

[lenguyen1794]

Homework Statement

In a double slits experiment, the intensity at the central fringe is I. What will be the intensity at the central fringe when each slit is widened 2 times?

Homework Equations

The Attempt at a Solution

My suggestion is that the intensity will be 2I...

 

[Simon Bridge]

But what is the reasoning?
What is the relationship between the central fringe intensity and the slit width?

 

[lenguyen1794]

I think that when the width of the each slit is doubled then the amount of light passing through will be double as well as the intensity