In a Vernier caliper, 20 divisions on the Vernier scale coincides with 17 divisions on the main scale. If 1 cm on the main scale is divided into 20 equal parts, then find the least count of the caliper.
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In a Vernier caliper, 20 divisions on the Vernier scale coincides with 17 divisions on the main scale. If 1 cm on the main scale is divided into 20 equal parts, then find the least count of the caliper.
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Length of one main scale division 1 M.S.D.=
20
1cm
=0.05 cm=0.5 mm
Since, 20th division of vernier scale coincides with 17th division of main scale.
Least count of vernier callipers, L.C.=1 M.S.D.−
20
17
×M.S.D.
⟹ L.C.=0.5 mm−
20
17
×0.5 mm=0.075 mm