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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` MSD - 1 VSD = `(1 - (n)/(n+1))` MSD = `((1)/(n+1))` MSD = `(a)/(n+1)`
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