Young's double slit-halving amplitude?

[MBBphys]

Homework Statement

Hi,
For the Young double slit experiment, say I have a plane wavefront approaching the double slit; now, if I halve the width of one of my slits, will the amplitude of the light exiting that slit be halved as well?

Homework Equations

None directly relevant I know of, but related:
Intensity directly proportional to [amplitude]²
nλ=dsinθ
λ=(ax)/D

The Attempt at a Solution

So I thought that, as the slit width is really very close to the wavelength of light itself, that halving would have a noticeable impact on the amplitude? But I also wondered whether making it much smaller than the wavelength of light as a result would completely block out the light anyway??
Thanks for your help!

 

[Shashank Holla]

will the amplitude of the light exiting that slit be halved as well?

The intensity of the light coming through the slits is directly proportional to the width of the slit
And intensity is proportional to the square of amplitude. So amplitude² is proportional to width