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  4. The main scale of a vernier caliper reads 10mm 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 3.2cm and the fourth vernier division coincides with the main scale division. The diameter of the cylinder is,

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Q. The main scale of a vernier caliper reads $10mm$ 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 $3.2cm$ and the fourth vernier division coincides with the main scale division. The diameter of the cylinder is,

NTA AbhyasNTA Abhyas 2022

Solution:

$LC=\frac{1}{10}mm=0.01cm$
and $e=VSD\times LC=0.05cm$
Therefore,
$TSR=MSR+\left(\right.VSD\times LC\left.\right)-e$
$\Rightarrow TSR=3.1+\left(\right.4\times 0.01\left.\right)-0.05$
$\Rightarrow TSR=3.14-0.05=3.09cm$