Worksheet: Phasors

In this worksheet, we will practice using phasors to describe the characteristics of the diffraction-produced interference patterns.

Q1:

Assume that the maxima are halfway between the minima of a single-slit diffraction pattern. Use the formula where πœ™ is the phase difference between wavelets from the first and last sources, to determine the intensities of the third and fourth maxima in terms of the intensity of the central maximum.

  • A 0 . 0 3 3 4 𝐼 , 0 . 0 2 5 0 𝐼 π‘œ π‘œ
  • B 0 . 0 0 3 6 7 𝐼 , 0 . 0 0 5 0 0 𝐼 π‘œ π‘œ
  • C 0 . 0 0 1 5 0 𝐼 , 0 . 0 0 2 0 0 𝐼 π‘œ π‘œ
  • D 0 . 0 0 5 0 0 𝐼 , 0 . 0 0 3 3 5 𝐼 π‘œ π‘œ
  • E 0 . 0 0 1 0 0 𝐼 , 0 . 0 0 1 2 2 𝐼 π‘œ π‘œ

Q2:

Assume that the maxima are located halfway between the minima of a single-slit diffraction pattern.

Use the diameter and circumference of the phasor diagram shown to determine the intensity of the third maximum in terms of the intensity of the central maximum.

  • A 0 . 0 3 3 4 𝐼 π‘œ
  • B 0 . 0 0 3 6 7 𝐼 π‘œ
  • C 0 . 0 0 1 5 0 𝐼 π‘œ
  • D 0 . 0 0 5 0 0 𝐼 π‘œ
  • E 0 . 0 0 1 0 0 𝐼 π‘œ

Use the diameter and circumference of the phasor diagram shown to determine the intensity of the fourth maximum in terms of the intensity of the central maximum.

  • A 0 . 0 0 3 3 5 𝐼 π‘œ
  • B 0 . 0 0 2 0 0 𝐼 π‘œ
  • C 0 . 0 2 5 0 𝐼 π‘œ
  • D 0 . 0 0 5 0 0 𝐼 π‘œ
  • E 0 . 0 0 1 2 2 𝐼 π‘œ

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