GATE ME 2023 Set 1 — Question 56
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Metrology, CIM & Additive Mfg → Metrology & Inspection → Comparators & Interferometry
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Question
An optical flat is used to measure the height difference between a reference slip gauge A and a slip gauge B. Upon viewing via the optical flat using a monochromatic light of wavelength , 12 fringes were observed over a length of of gauge B. If the gauges are placed apart, the height difference of the gauges is ______________ .

Correct answer
8.999 to 9.001
Solution
Given:
Wavelength
Number of fringes
Length over which fringes are observed
Distance between gauges The height difference over the width is given by:
.By similar triangles, the total height difference between the gauges at distance is:
.
Wavelength
Number of fringes
Length over which fringes are observed
Distance between gauges The height difference over the width is given by:
.By similar triangles, the total height difference between the gauges at distance is:
.
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