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  4. In a vernier callipers, N divisions of vernier scale coincide with (N - 1) division of main scale (in which one division represents 1 mm). The vernier constant is (cm)

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Q. In a vernier callipers, N divisions of vernier scale coincide with (N - 1) division of main scale (in which one division represents 1 mm). The vernier constant is (cm)

Physical World, Units and Measurements

Solution:

$N \,VSD = (N - 1) MSD$
$1 \, VSD = \frac{N-1}{N} = MSD$
$V.C. = 1 \, MSD - 1\, VSD$
$= 1 \, MSD - \left(\frac{N-1}{N}\right) MSD = \frac{1}{N} MSD$
$= \frac{1}{N} mm = \frac{1}{10\,N} cm$