Question:

Given below are two statements:

Statement I: In a vernier callipers, one vernier scale division is always smaller than one main scale division.

Statement II: The vernier constant is given by one main scale division multiplied by the number of vernier scale divisions.

In the light of the above statements, choose the correct answer from the options given below:

1. Both Statement I and Statement II are false
2. Statement I is true but Statement II is false
3. Both Statement I and Statement II are true
4. Statement I is false but Statement II is true

Answer:

Option 2: Statement I is true but Statement II is false.

Explanation:

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• In a typical vernier callipers, each vernier division is slightly smaller than a main scale division, making Statement I true.
• The vernier constant (or least count) is calculated as:

VC = 1 MSD – 1 VSD (Where MSD = Main Scale Division, VSD = Vernier Scale Division)

So Statement II is false because it incorrectly describes the formula.