Question

The nth division of main scale coincides with (n +1) th division of vernier scale. Given one main division is equal to 'a' units. Find the least count of the vernier.

Answer 1

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Answer 2

Answer:

The least count of vernier calipers is L.C=1MSD−1VSD where MSD= main scale division and VSD= vernier scale division.

Given, N VSD=(N+1)MSD or 1VSD=[(N+1)/N] MSD

Thus, L.C=1MSD−[(N+1)/N]MSD=[1/(N+1)]MSD=(N+1)^−1 MSD