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The n^(th) division of main scale coinci...

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

Text Solution

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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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