I. A diffraction grating with d = 2000 nm isused with a mercury discharge tube.

Question

I. A diffraction grating with d = 2000 nm isused with a mercury discharge tube. At what angle will be thefirst-order blue-green wavelength of mercury appear? Whatother orders can be seen, and at what angle will they appear? Please show your work.
II. The diffraction grating is used at a distanceL = 50.0 cm from the slit. What is the distanceD from the slit to the first-order image for theblue-green wavelength of mercury? Please show yourwork.
Thank you.



II. The diffraction grating is used at a distanceL = 50.0 cm from the slit. What is the distanceD from the slit to the first-order image for theblue-green wavelength of mercury? Please show yourwork.
Thank you.

Explanation / Answer

Grating element d = 2000 * 10 ^ -9 m wavelength of bluish light = 500 * 10 ^ -9m Condition for 1 st order is d sin = from this sin = / d                        = 0.25                     = 14.47 degrees

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