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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.

a
aN+1
b
aN-1
c
2aN-1
d
2aN+1

detailed solution

Correct option is A

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

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A vernier callipers having main scale of 10 cm containing 100 divisions. If n be number of divisions on vernier scale of length l. Vernier calliper is designed to have a least count of 0.02 cm, then


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