In a Vernier callipers, 19 main-scale divisions equal 20 Vernier-scale divisions. Each main-scale division is a units. If the least count is a/(4x), find x.

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G1 Physics · Accepted Answer

1 VSD = 19a/20, so least count = 1 MSD−1 VSD = a/20. Given a/20 = a/(4x), hence 4x=20 and x=5.