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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.

A

`(n)/(a+1)`

B

`(a)/(n+1)`

C

`an`

D

`(a)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(N+1)VSD=(N)MSD`
`:. 1VSD=((N)/(N+1))MSD`
`LC=1 MSD-1VSD`
`=1MSD-((N)/(N+1))MSD`
`=MSD((N+1-N)/(N+1))`
`=(a)/(N+1)(MSD=a)`
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