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Question

In a Vernier caliper, N divisions of vernier scale coinsides with (N1) divisions of main scale in which the length of 1 division is 1 mm. The least count of the instrument (in cm) is
  1. N
  2. N1
  3. 110N
  4. 1N1


Solution

The correct option is C 110N
1 MSD=1 mm

N VSD=(N1) MSD

 1 VSD=(N1N)MSD

Since least count is give by:
LC=1 MSD1 VSD

=1 MSD(N1N)MSD

=1N MSD

=1N mm ( 1 MSD=1 mm)

 L=110N cm

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