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PhysicsNEET 2024Measuring instruments: vernier, screw gauge

Units and Measurements

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

  1. A.1100(N+1)\dfrac{1}{100(N+1)}✓
  2. B.100N100N
  3. C.10(N+1)10(N+1)
  4. D.110N\dfrac{1}{10N}

Solution

(N+1)(N+1) VSD =N= N MSD, so 1 VSD =NN+1= \frac{N}{N+1} MSD. Vernier constant == 1 MSD −- 1 VSD =1N+1= \frac{1}{N+1} MSD =0.1N+1= \frac{0.1}{N+1} mm =1100(N+1)= \frac{1}{100(N+1)} cm.

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