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The main scale of a vernier calipers has n divisions/cm. n divisions of the vernier scale coincide with (n − 1) divisions of main scale. The least count of the vernier calipers is:

1. 1/(n(n+1)) cm
2. 1/(n+1)(n−1) cm
3. 1/n cm
4. 1/n² cm

Correct answer: 1/(n(n+1)) cm

Solution

The least count of a vernier caliper is given by the difference between one main scale division and one vernier scale division. Using the given relationship, the least count is calculated as 1/(n(n+1)) cm.

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