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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)/(10N)`

D

`(1)/(N-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
L.C (least count) = 1MSD -1VSD
NVSD = (N-1) MSD
1VSD = `((N-1) )/(N)` MSD
LC = 1 MSD - `((N-1))/(N)` MSD = `((1)/(N))` MSD = `(1)/(N)` mm
LC = `(1)/(10 N )` cm
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