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 𝐼=𝐼,sin where 𝜙 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.

  • A0.00150𝐼, 0.00200𝐼
  • B0.00367𝐼, 0.00500𝐼
  • C0.0334𝐼, 0.0250𝐼
  • D0.0162𝐼, 0.00827𝐼
  • E0.00100𝐼, 0.00122𝐼

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.

  • A0.00100𝐼
  • B0.00150𝐼
  • C0.00827𝐼
  • D0.0334𝐼
  • E0.00367𝐼

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.

  • A0.00122𝐼
  • B0.00500𝐼
  • C0.00200𝐼
  • D0.0250𝐼
  • E0.00335𝐼

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