a particular transmission diffraction grating has a line density of 900. lincs/m

Question

a particular transmission diffraction grating has a line density of 900. lincs/mm. if a narrow ray of light containing many different wavelengths is incident on the grating at a direction of Theta=0 . what will be the direction of the outgoing 1st-order maximum of... ( You do NOT need to show your work for this question ) deep-red light? Choose an appropriate far-red wavelength for your calculation: lambdared= deep-violet light? Choose an appropriate far-violet wavelength for your calculation. lambda

Explanation / Answer

Part A)

Choosing 700 nm for red

Apply tan(angle) = m(wavelength)/d

d is the inverse of the lines per mm, converted to m.

d = 1/900000

tan(angle) = (700 X 10-9)(900000)

angle = 32.2o

Part B)

Choosing 400 nm for violet

tan(angle) = (400 X 10-9)(900000)

angle = 19.8o

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