The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 micrometer diameter of a wire is
Answers
minimum number of division of division scale should be 200.
it is given that,
least count of main scale of a screw guage = 1mm = 10^-3 m
pitch of screw guage = least count of main scale of screw guage = 10^-3 m
diameter of wire = 5 μm
it is clear that, 5μm is much smaller than least count of main scale. for minimum number of division of circular scale,
least count of screw guage = diameter of wire = 5 μm = 5 × 10^-6 m
now,
least count of screw guage = pitch/number of division of circular scale
⇒5 × 10^-3 = 10^-3/N
⇒N = 1000/5 = 200
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