The drawing below shows a balanced Michelson interferometer with perfectly equal

Question

The drawing below shows a balanced Michelson interferometer with perfectly equal length arms in which a piece of glass (n=1.4) has been inserted into the horizontal arm. What is the minimum thickness of glass which will create a perfectly dark shadow in the middle of the bright background as shown in the picture if the light source is monochromatic, coherent, and has a wavelength of 500 nm. Ignore the plate in the vertical arm, it is there to compensate for the non-zero thickness beam splitter but will not change how you solve this problem. a. 83 nm b. 333 nm c. 167 nm d. 202 nm

Explanation / Answer

c. 167 nm

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