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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 1 division represents 1 mm. The least count of the instrument in cm, should be

A

N

B

`N-1`

C

`(1)/(10 N)`

D

`(1)/(N-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Least count = 1 MSD - 1 VSD
`(N -1)MSD=N(VSD) rArr VSD = (1-(1)/(N))MSD`
Least count `= 1MSD - (1-(1)/(N))MSD`
`= ((1)/(N))(1mm)=(1)/(10 N)cm`
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