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Question

In a vernier calipers 10 smallest divisions of the vernier scale are equal to 9 smallest divisions of the main scale. If the smallest division of the main scale is half millimeter, then the vernier constant is:

A
0.005 mm
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B
0.05 mm
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C
0.5 mm
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D
0.01 mm
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Solution

The correct option is B 0.05 mm
MSD = Main scale divisions
VSD = Vernier scale divisions
From the data given in the question,
1 MSD=0.5 mm and, 10 VSD = 9 MSD
1 VSD=910MSD=910×0.5=0.45 mm
Vernier constant(VC) or Least count(LC),
=1 MSD1 VSD=0.50.45=0.05 mm
Hence, option (b) is the correct answer.

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