Light of wavelength 631nm passes through a diffraction grating having 360lines/m

Question

Light of wavelength 631nm passes through a diffraction grating having 360lines/mm .

Part A

What is the total number of bright spots (indicating complete constructive interference) that will occur on a large distant screen? Solve this problem without finding the angles. (Hint: What is the largest that sin? can be? What does this imply for the largest value of m?)

Express your answer as an integer.

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Part B

What is the angle of the bright spot farthest from the center?

Light of wavelength 631nm passes through a diffraction grating having 360lines/mm .

Part A

What is the total number of bright spots (indicating complete constructive interference) that will occur on a large distant screen? Solve this problem without finding the angles. (Hint: What is the largest that sin? can be? What does this imply for the largest value of m?)

Express your answer as an integer.

SubmitMy AnswersGive Up

Part B

What is the angle of the bright spot farthest from the center?

Explanation / Answer

Part A)

Apply 1 = m(wavelength)/d

1 = (m)(631 X 10-9)(360000)

m = 4.4

We need the integer value, so use 4

There will be 4 on each side of the central bright, plus the central bright itself

4 + 4 + 1 = 9 Total Bright Spots

Part B)

tan(angle) = 4(631 X 10-9)(360000)

angle = 42.6o

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