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

In a vernier callipers, 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)/(N-1)`

D

`(1)/(10N)`

Text Solution

Verified by Experts

The correct Answer is:
D
`NVSD= (N-1)MSD`
`VSD= (N-1)/(N)MSD, V.C= 1MSD- 1VSD`
`= MSD- ((N-1)/(N))MSD= (1)/(N) MSD= (1)/(N) mm= (1)/(10N) cm`
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