Single Slit Diffraction find central maximum

[Peter G.]

Hi,

I have tried tackling these question but I am simply absolutely lost...

1. A single slit of width 1.50 um is illuminated with light of wavelength 500.0 nm. Find the angular width of the central maximum.

I have no attempt for number 1.

2. Microwaves of wavelength 2.8 cm fall on a slit and the central maximum at a distance 2 m from the slit is found to have a half width of 0.67 m. Find the width of the slit.

Well, I tried to find the angle by dividing 0.67/1. To find the slit width I then dividing 0.028 by 0.67. But my answer was wrong according to the book.

Any help is appreciated.

Thanks,
Peter G.

 

[Spinnor]

For a nice discussion when you have time see,

http://ocw.mit.edu/courses/physics/...l-2010/interference/MIT8_02SC_notes31to32.pdf

For now see,

http://www.google.com/imgres?q=Sing...&tbnw=197&start=10&ndsp=7&ved=1t:429,r:3,s:10

Found via Google image search,

http://www.google.com/search?hl=en&...&um=1&ie=UTF-8&tbm=isch&source=og&sa=N&tab=wi