A particular transmission diffraction grating has a line density of 900 lines/mm

Question

A particular transmission diffraction grating has a line density of 900 lines/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 -ordcr maximum of.. (You do NOT need to show your work for this quotum ) deep-red light? Choose an appropriate fur-reil wavelength for your calculation ) lambdanm theta1 = deep-violet light? Choose an appropriate far-violet wavelength for your calculation: /. Lamba nm = theta1 =

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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