A diffraction grating has 1.5 ? m spacing. Find the first-order diffraction angl

ID: 2303157 • Letter: A

Question

A diffraction grating has 1.5?m spacing. Find the first-order diffraction angles for the following wavelengths.

Part A

Find the first-order diffraction angles for violet light (440nm ).

Express your answer to two significant figures and include the appropriate units.

Part B

Find the first-order diffraction angles for blue light (460nm ).

Express your answer to two significant figures and include the appropriate units.

Part C

Find the first-order diffraction angles for red light (680nm ).

Express your answer to two significant figures and include the appropriate units.

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

Part A)

tan(angle) = (440 X 10-9)/(1.5 X 10-6)

angle = 16.3 degrees

(This will be 17.1 degrees if your book uses "small angle approximations)

Part B)

tan(angle) = (460 X 10-9)/(1.5 X 10-6)

angle = 17.0 degrees

(This will be 17.9 degrees if your book uses "small angle approximations)

Part C)

tan(angle) = (680 X 10-9)/(1.5 X 10-6)

angle = 24.4 degrees

(This will be 27.0 degrees if your book uses "small angle approximations)

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