Question

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)/(10N)`
D. `(1)/(N-1)`

Answer 1

Correct Answer - 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