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N divisions on the main scale of a verni...

`N` divisions on the main scale of a vernier callipers 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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`(n+1)` divisions of vernier scale =n divisions of main scale
`therefore 1` vernier division `=(n)/(n+1)` main scale division
Least count `=1 M.S.D.-1V.S.D.`
`=(-(n)/(n+1))M.S.D.=((1)/(n+1))M.S.D=(a)/(n+1)`
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