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Vernier Caliper

While measuri...

Question

While measuring the width of a metal block using a vernier calipers, it is observed that the 49th division on the main scale coincides with the 7th division on the vernier scale. Given that 1 M.S.D. = 1 mm, 9 M.S.D. =10 V.S.D. and the instrument is error free. determine the width of the bock.

A

4.2 mm

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B

42.7 mm

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C

4.56 mm

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D

46.6 mm

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Solution

The correct option is B 42.7 mm
$\begin{matrix} Least count of V . C . = 0.1 m m V.C. reading & = 49 \times 1 m m - 7 \times 0.9 m m = 49 - 6.3 = 42.7 m m = 42.7 m m \end{matrix}$

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