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In a vernier callipers, N divisions of t...

In a vernier callipers, `N` divisions of the main scale coincide with `N + m` divisions of the vernier scale. what is the value of `m` for which the instrument has minimum least count.

A

1

B

N

C

infinity

D

`N//2`

Text Solution

Verified by Experts

The correct Answer is:
A
`L.C = 1 MSD - 1 VSD` but `(N) MSD = (N + M)(VSD)`
`rArrL.C=1MSD-((N)/(N+m))MSD`
`= ((m)/(N+m))=((1)/((N)/(m)+1))MSD`
For minimum least count, m should be minimum so `m =1`
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ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-1)
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