Units Dimensions And Measurements

To find the vernier constant of a Vernier caliper, we first consider the definition of the vernier constant: it is the smallest measurement that can be calculated using a Vernier caliper and is equal to the least count. In the given problem, it is stated that divisions of the Vernier scale coincide with divisions of the main scale.

The given information can be expressed as:

1 Main Scale Division (MSD) = 0.1 mm

Therefore, divisions on the main scale equal:

The Vernier scale is set such that Vernier scale divisions coincide with main scale divisions, giving each Vernier scale division:

The Vernier constant (VC) is the difference between one main scale division and one Vernier scale division, which is:

Since we need the vernier constant in centimeters, convert mm to cm (1 mm = 0.1 cm):

Expressed as a fraction, this becomes:

Thus, the vernier constant in centimeters is .