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Question

N divisions on the main scale of vernier callipers coincide with (N+1) divisions on the vernier scale. If each division on the main scale is equal to 1 unit, determine the least count of the instrument.

A
(N+1) Main scale division
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B
(N+1)1 Main scale divisions
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C
N Main scale division
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D
(1N) Main scale divsions
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Solution

The correct option is A (N+1)1 Main scale divisions
The least count of vernier calipers is L.C=1MSD1VSD 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)1MSD

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