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In a vernier calliper, N divisions of ve...

In a vernier calliper, N divisions of vernier scale coincide with (N-1) divisions of main scale (in which division represent 1mm). The least count of the instrument in cm. should be

A

N

B

N-1

C

`(1)/(10N)`

D

`(1)/(N-1)`

Text Solution

Verified by Experts

L.C. (lest count)=1MSD-1VSD
NV.S.D=(N-1)M.S.D
`1V.S.D=((N-1)/(N))M.S.D`
`L.C=1M.S.D-((N-1)/(N) MSD=((1)/(N))MSD=(1)/(N)mm`
`L.C=(1)/(10N)cm`.
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