Least Count Of Vernier Calipers — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Least Count of Vernier Calipers Applies to standard Vernier calipers where N Vernier Scale Divisions (VSD) match (N-1) Main Scale Divisions (MSD). Define Least Count (LC) as the difference between one Main Scale Division (MSD) and one Vernier Scale Division (VSD): LC = 1MSD - 1VSD. Apply the Vernier principle where N VSDs coincide with (N-1) MSDs: N VSD = (N-1) MSD. Solve for 1 VSD: 1 VSD = ((N-1)/N) MSD. Substitute VSD back into the LC equation: LC = 1MSD - ((N-1)/N) MSD. Simplify the expression: LC = MSD (1 - (N-1)/N) = MSD (1/N). Replace MSD with symbol S to get LC = S/N. N must be an integer greater than 1. S must be positive. Assuming the Least Count is always 0.1 mm or 0.01 cm regardless of the scale design. Ignoring the value of the Main Scale Division (S) and assuming it is always 1 mm. Confusing Least Count with Zero Error.