The main scale of a vernier calliper reads 10 mm in 10 divisions....

The main scale of a vernier calliper reads

10

mm in

10

divisions.

10

divisions of vernier scale coincide with

9

divisions of the main scale. When the two jaws of the callipers touch each other, the fifth division of the vernier coincides with a main scale division and the zero of the vernier is to the right of zero of the main scale. When a cylinder is tightly placed between the two jaws, the zero of vernier scale lies slightly to the left of

\text{3.2}cm

& and the fourth vernier division coincides with a main scale division. The diameter of the cylinder is

Options

A $\text{3.19}cm$
B $\text{3.14}cm$
C $\text{3.04}cm$
Dnone of these

Correct answer

A. $\text{3.19}cm$

Step-by-step solution

Zero error = 0.5 mm = 0.05 cm

observed reading of cylinder = 3.2 cm + (4) (0.01 cm) = 3.24 cm

actual thickness of cylinder = (3.24) – (0.05) = 3.19 cm.

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