University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 35, Problem 35.1DQ

A two-slit interference experiment is set up, and the fringes are displayed on a screen. Then the whole apparatus is immersed in the nearest swimming pool. How does the fringe pattern change?

Expert Solution & Answer
Check Mark
To determine

The explanation for the change in the fringe pattern when the whole apparatus of the two-slit interference experiment set up is immersed in the nearest swimming pool.

Explanation of Solution

Formula to calculate position of mth bright fringe in air medium,

ym=Rmλod (I)

  • R is the distance from slits to screen
  • m is the order of the fringe
  • λo is the wavelength of the light in air medium
  • d is the distance between slits

Formula to calculate position of mth bright fringe in water medium,

ym'=Rmλwd (II)

  • R is the distance from slits to screen
  • m is the order of the fringe
  • λw is the wavelength of the light in water medium
  • d is the distance between slits

Divide equation (II) with equation (I),

ym'ym=(Rmλwd)(Rmλod)=λwλo

Formula to calculate the wavelength of the light in water medium,

λw=λon

  • n is the refractive index of the water

Substitute λon for λw to find ym',

ym'ym=(λon)λo=1n

Substitute 1.33 for n to find ym',

ym'ym=11.33=34ym'=3ym4

Conclusion:

Therefore, the new fringe pattern becomes 34 times the old fringe pattern as the whole apparatus is immersed in water.

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A two-slit interference experiment is set up, and the fringes are displayed on a screen. Then the whole apparatus is immersed in the nearest swimming pool. How does the fringe pattern change?
A two-slit interference experiment is set up, and the fringes aredisplayed on a screen. Then the whole apparatus is immersed in the nearest swimming pool. How does the fringe pattern change?
In a double-slit experiment the angular width of a fringe is found to be 0.2° on a screen placed 1 m away. The wavelength of light used is 600 nm. What will be the angular width of the fringe if the entire experimental apparatus is immersed in water? Take refractive index of water to be 4/3.

Chapter 35 Solutions

University Physics with Modern Physics (14th Edition)

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