Question:

In a Vernier caliper, \(N+1\)  divisions of vernier scale coincide with  \(N\) divisions of main scale. If 1 MSD represents 0.1 mm, the vernier constant (in cm) is:

Updated On: Dec 4, 2024
  • \(\frac{1}{10N}\)
  • \(\frac{1}{100(N+1)}\)
  • \(100N\)
  • \(10N+1\)
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The Correct Option is B

Solution and Explanation

Vernier constant is the least count and is calculated as:
V.C. = 1 MSD - 1 VSD.
Substituting:
V.C. = $0.1 - \frac{0.1}{N + 1} = \frac{0.1}{N + 1} \, mm = \frac{1}{100(N + 1)} \, cm$.

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