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Question:

A vernier calipers have 1mm marks on the main scale. It has 20 equal divisions on the vernier scale which matches with 16 main scale divisions. For this vernier calipers, the least count is:

0.02mm

0.05mm

0.1mm

0.2mm

Solution:

Least count, L.C = 1 M.S.D - V.S.D
As vernier scale division equals matches on main scale division, therefore
L.C = (1 - 16/20) M.S.D = (1 - 0.8)(1mm) = 0.2mm