PhysicsNEET 2024Measuring instruments: vernier, screw gauge

Units and Measurements

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

A. $\frac{1}{100 ( N + 1 )}$ ✓
B. $100 N$
C. $10 (N + 1)$
D. $\frac{1}{10 N}$

Solution

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

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Units and Measurements

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