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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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The correct Answer is:
`(a)/( a + 1)`
`( n+ 1)` divisions of vernier scale = n divisions of main scale. `:.` One vernier division `= (n)/( n+ 1) ` main scale division
Least count `= 1 MSD - 1VSD = ( 1 - ( n)/( n + 1)) MSD`
`= (1)/( n + 1) MSD = (a) /( a + 1)`
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