Question

The least count of a vernier caliper is 0.1 mm the main reading before the zero of verniar caliper is 10 and 0 division of the vernier scale coincides with the main scale div given that is main scale div is one mm what is the measured value

Answer 1

10 mm

Answer 2

The measured value using a vernier caliper is given by the formula:

Measured Value = Main Scale Reading (MSR) + (Vernier Scale Coincidence (VSC) $\times$ Least Count (LC))

Given information:

• Least Count (LC) = 0.1 mm
• Main reading before the zero of the vernier caliper = 10 main scale divisions.
• Value of each Main Scale Division (MSD) = 1 mm.
• 0 division of the vernier scale coincides with a main scale division.

From the given information:

• Main Scale Reading (MSR) = Number of MSDs before vernier zero $\times$ Value of 1 MSD = 10 $\times$ 1 mm = 10 mm.
• Vernier Scale Coincidence (VSC) = The vernier division that coincides with a main scale division. Given that the 0th division coincides, VSC = 0.
• Least Count (LC) = 0.1 mm (given).

Substitute these values into the formula:

Measured Value = MSR + (VSC $\times$ LC)
Measured Value = 10 mm + (0 $\times$ 0.1 mm)
Measured Value = 10 mm + 0 mm
Measured Value = 10 mm

The measured value is 10 mm.

Explanation:

The measurement is calculated by adding the main scale reading before the vernier zero and the vernier scale reading. The main scale reading is 10 main scale divisions, each being 1 mm, so MSR = 10 mm. The vernier scale coincidence is the division on the vernier scale that aligns with a main scale division; it is given as the 0th division, so VSC = 0. The least count is given as 0.1 mm. Using the formula, Measured Value = MSR + (VSC $\times$ LC) = 10 mm + (0 $\times$ 0.1 mm) = 10 mm.