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Lesson: Dispersion

Sample Question Videos

Worksheet • 7 Questions • 1 Video

Q1:

A two-colored beam of light consisting of wavelengths of 660 nm and 470 nm propagates through air, with the two colors propagating parallel to each other. The beam is incident on a rectangular piece of crown glass of thickness 1.33 cm and passes through it to emerge in air. The beam strikes the glass surface at an angle of 3 3 . 7 from the normal to the surface. In modeling the propagation of the colors in the beam, use a value of 1.512 for the refractive index of crown glass for the 470 nm wavelength light, and use a value of 1.523 for the refractive index of crown glass for the 660 nm wavelength light.

What is the angle of refraction of 470 nm wavelength light?

What is the angle of refraction of 660 nm wavelength light?

What is the distance between the points where the two colors of light emerge from the glass?

  • A 2 . 6 8 × 1 0 3 cm
  • B 1 . 1 5 × 1 0 3 cm
  • C 2 . 0 0 × 1 0 3 cm
  • D 5 . 9 5 × 1 0 3 cm
  • E 3 . 6 5 × 1 0 3 cm

Q2:

A ray of 6 . 1 0 × 1 0 7 -m light goes from air into fused quartz at an incident angle of 5 5 . 0 . Determine at what incident angle 4 . 7 0 × 1 0 7 -m light must enter flint glass to have the same angle of refraction. Use a value of 1.458 for the refractive index of quartz and use a value of 1.66 for the refractive index of flint glass.

Q3:

A two-colored beam of light consisting of wavelengths of 610 nm and 410 nm propagates through quartz, with the two colors propagating parallel to each other. The beam is incident on a plane interface at an angle of 4 0 to the interface’s normal, where water is present on the other side of the interface. Find the difference in the angle from the interface’s normal of the two wavelengths when they propagate in water. Use a value of 1.456 for the refractive index of 610 nm wavelength light in quartz and use a value of 1.332 for the refractive index of 610 nm wavelength light in water. Use a value of 1.468 for the refractive index of 410 nm wavelength light in quartz and use a value of 1.342 for the refractive index of 410 nm wavelength light in water.

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