You are designing a lecture demonstration on diffraction gratings. You plan to u

Question

You are designing a lecture demonstration on diffraction gratings. You plan to use laser light (633 nm) and plan to shine the light through the grating onto a wall 9 m away from the grating. You want the separation between the central bright spot and the first order bright spot to be 1.0 m. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

The scientific supply company offers gratings with the number of slits per millimeter.

How many slits per millimeter do you want your grating to have?

When you perform your demonstration, how many bright spots will be visible on the wall?

Explanation / Answer

Apply y/L = m(wavelength)/d

(1)/(9) = (1)(633 X 10^-9)/d

d = 6 X 10^-7 m/slit

That is 6 X 10^-4 mm/slit

Take the inverse and get 1667 slits per mm

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