Moderate

When one mirror of a Michelson Interferometer is moved a distance of 0.5 mm, we observe 2000 fringes. What will be the wavelength of light used?

Correct answer: B. 5000 Angstrom

  • A. 5000 nm
  • B. 5000 Angstrom
  • C. 500 m
  • D. 2000 micrometer

Explanation

Explanation: The number of fringes (N) observed in a Michelson Interferometer is given by the formula N=λ2d , where d is the mirror displacement and λ is the wavelength of light.Rearranging the formula to solve for λ=N2d , substituting the given values (d=0.5 mm and N=2000), and converting units, we get λ=20002×0.5mm =5000Angstrom.

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About Optics

Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.

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