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

The main scale of a vernier caliper 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 calipers 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

3.2

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

Options

A $3 . 09cm$
B $3.14$ cm
C $3.19$ cm
Dnone of these

Correct answer

A. $3 . 09cm$

Step-by-step solution

$LC = \dfrac{1}{10}mm = 0 . 01cm$
and~ $e = VSD \times LC = 0 . 05cm$
Therefore,
$TSR = MSR + ( VSD \times LC ) - e$
$⇒ TSR = 3 . 1 + ( 4 \times 0 . 01 ) - 0 . 05$
$⇒ TSR = 3 . 14 - 0 . 05 = 3 . 09cm$

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