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If n^(th) division of main scale coincid...

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

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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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