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Topic: Vernier calipers and screw gauge· Experimental Skills

Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero o…

Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero of V.S. is at \(x = 0.1\) cm when the jaws of Vernier callipers are closed.

If the main scale reading for the diameter is M = 5 cm and the number of coinciding vernier division is 8, the measured diameter after zero error correction, is

1. 5.18 cm

2. 5.08 cm

3. 4.98 cm

4. 5.00 cm

1 answer

Best answer

Answer: 3. 4.98 cm

Key idea: reading \(=\) MSR \(+\) (VSR \(\times\) least count) \(-\) zero error.

10 VSD \(=\) 9 MSD, so the least count \(=1\) MSD \(-1\) VSD \(=0.1-0.09=0.01\) cm.

$$\text{Observed}=5+8\times0.01=5.08\ \mathrm{cm}$$

The zero of the vernier lies at 0.1 cm when the jaws are closed, so the zero error is \(+0.1\) cm. Corrected diameter \(=5.08-0.10=4.98\) cm.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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