If the moveable mirror is displaced through distance of 0.05 mm, 200 fringes are observed shifted. The wavelength of light used is:
Correct answer: C. 500 nm
- A. 5x100
- B. 5x10m
- C. 500 nm
- D. 50mm
Explanation
This question deals with a Michaelson interferometer. The Michelson interferometer produces interference fringes by splitting a beam of light so that one beam strikes a fixed mirror and the other a movable mirror. When the reflected beams are brought back together, an interference pattern results.For a Michaelson interferometer:nλ=2Δxλ = 2Δx/nλ = 2* 0.05/200 = 0.0005 mm or 5x10-4 mm1 mm = 1x10 +6 nm5x10-4 mm = 5x10 +2 nm or 500 nm
This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.
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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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