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GATE 2021 IN – Question 32

Communication and Optical Instrumentation · Interferometry and fiber-optic sensing · 1 mark · Numerical answer

A Michelson interferometer’s movable arm is displaced 325 μm in vacuum (n = 1), and 1000 fringes cross the observation point. The laser wavelength is ______ nm.

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Correct answer: 650 to 650

Explanation

Moving one mirror by d changes round-trip optical path by 2d. N fringes therefore satisfy Nλ=2d. With d=325 μm and N=1000, λ=650 μm/1000=**650 nm**.