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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.

Text Solution

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`(n + 1)` divisions of vernier scale`= n` divisions of main scale
`:.` 1 vernier division `= (n)/( n +1)` main scale division
Least count `= 1` M. S. D. `– 1`V. S. D.
`= "("1-(n)/(n+1)")"` M. S. D. `= "("(1)/(n+1)")"` M. S. D. `= (a)/(n+1)`
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