1. 10(N+1) 2. 1/10N 3. 1/100(N+1) 4. 100N

Answer: 3. 1/100(N+1) Key idea: Vernier constant = 1 MSD - 1 VSD. N main scale divisions equal N+1 vernier divisions, so 1 VSD=N/N+1 MSD . VC=1 MSD-N/N+1 MSD=1 MSD/N+1=0.1 mm/N+1=0.01 cm/N+1=1/100(N+1) cm. Option 3.

Topic: Vernier calipers and screw gauge· Experimental Skills

In a vernier calipers, (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 :

1. \(10(N+1)\)

2. \(\frac{1}{10N}\)

3. \(\frac{1}{100(N+1)}\)

4. \(100N\)

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Answer: 3. \(\frac{1}{100(N+1)}\)

Key idea: Vernier constant = 1 MSD - 1 VSD.

\(N\) main scale divisions equal \(N+1\) vernier divisions, so \(1\text{ VSD}=\frac{N}{N+1}\text{ MSD}\).

\(\text{VC}=1\text{ MSD}-\frac{N}{N+1}\text{ MSD}=\frac{1\text{ MSD}}{N+1}=\frac{0.1\text{ mm}}{N+1}=\frac{0.01\text{ cm}}{N+1}=\frac{1}{100(N+1)}\) cm.

Option 3.

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In a vernier calipers, (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 :

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