A double-slit experiment is used to calculate the wavelength of a light source. The first order maximum in the interference pattern occurs 7.1 cm from the screen center, slit spacing is measured to be 15μm and the distance between slit and screen is 2.2 m. Estimate the wavelength of the source used.

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A double-slit experiment is used to calculate the wavelength of a light source. The first order maximum in the
interference pattern occurs 7.1 cm from the screen center, slit spacing is measured to be 15μm and the distance
between slit and screen is 2.2 m. Estimate the wavelength of the source used.
Transcribed Image Text:A double-slit experiment is used to calculate the wavelength of a light source. The first order maximum in the interference pattern occurs 7.1 cm from the screen center, slit spacing is measured to be 15μm and the distance between slit and screen is 2.2 m. Estimate the wavelength of the source used.
Expert Solution
Concept and Principle:
  • The double-slit experiment demonstrates the wave-particle duality of matter and light. In the experiment, the interference produced by the interference of waves is studied.

 

  • Alternating bright and dark fringes are formed on a screen placed in front of the double slit. By measuring the distance between the fringes the wavelength of the source can be calculated.

 

  • The distance to a bright fringe from the central maximum caused by constructive interference is given by,

ybright=mλLd

Here m is the order of the maxima, λ is the wavelength of the source, L is the distance from the slit to the screen's center point, and d is the slit spacing.

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