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Q.

N divisions on the main scale of a Vernier calipers coincide with N+1 divisions on the Vernier scale. If each division on the main scale is of a units, determine the least count of the instrument.

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a

aN+1

b

aN-1

c

2aN-1

d

2aN+1

answer is A.

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Detailed Solution

N×1MSD=(N+1)×1VSD⇒N×a=(N+1)a'⇒a'=NN+1aLC=MSD-VSD⇒LC=a−a'=aN+1
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