Question

A diffraction grating has 4000 lines per cm. The angle between the central maximum
and the third order maximum is 36° What is the wavelength of the light?
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given A diffraction grating has 4000 lines per cm. The angle between the central maximum and the third order maximum is 36° What is the wavelength of the light?  

• So we have m = 3 since it is the third order maximum.
• So we have the equation λ = d sin theta / m
• So the slit spacing is d
•                          d = 1/4000
•                              = 0.00025 cm
• So we get 0.00025 / 100 = 2.5 x 10^-6 m
•             Now we have λ = d sin theta / m
•                                         = 2.5 x 10^-6 sin 36 / 3
•                                        = 1.469 x 10^-6 / 3
•                                       = 1469 nm / 3
•                                       = 489 nm

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