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Problem 12

What is meant by the superposition of waves? What is the difference between constructive and destructive interference?

Problem 13

A two-slit experiment with blue light produces a set of bright fringes. Will the spacing between the fringes increase, decrease, or stay the same if red light is used instead? Explain.

Problem 14

A two-slit experiment uses light with a wavelength of \(410 \mathrm{~nm}\) and a slit separation of \(3.4 \times 10^{-5} \mathrm{~m}\). What is the angle to the first bright fringe above the central bright fringe?

Problem 15

A two-slit experiment with slits separated by \(48.0 \times 10^{-5} \mathrm{~m}\) produces a second-order \((m=2)\) bright fringe at an angle of \(0.0990^{\circ} .\) Find the wavelength of the light used in this experiment.

Problem 16

Light with a wavelength of \(546 \mathrm{~nm}\) passes through two slits and forms an interference pattern on a screen \(8.75 \mathrm{~m}\) away. If the vertical distance from the central bright fringe to the first bright fringe above it on the screen is \(5.36 \mathrm{~cm}\), what is the separation of the slits?

Problem 18

If blue light is used in the air-wedge experiment instead of red light, does the number of bright fringes increase, decrease, or stay the same? Explain.

Problem 21

White light is incident on a soap film \((n=1.30)\) in air. The reflected light looks bluish because red light \((\lambda=670 \mathrm{~nm})\) has been eliminated by destructive interference. What is the minimum thickness of the soap film?

Problem 22

A beam of monochromatic light experiences constructive interference when it shines on a soap film with a thickness of \(183 \mathrm{~nm}\) and an index of refraction of \(1.35\). What is the wavelength of the light? (Assume that \(m=0\).)

Problem 23

If light reflects from a material with a lower index of refraction than the material in which it is traveling, what happens to its phase?

Problem 23

State If light reflects from a material with a lower index of refraction than the material in which it is traveling, what happens to its phase?

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