One main scale division of a vernier calliper is equal to units. If division of main scale coincides with division of vernier scale, the least count of the vernier calliper is:

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Solution

Q.
One main scale division of a vernier calliper is equal to $m$ units. If $n^{t h}$ division of main scale coincides with ${(n + 1)}^{t h}$ division of vernier scale, the least count of the vernier calliper is: [2024]

1 $\frac{n}{(n + 1)}$

2 $\frac{m}{(n + 1)}$

3 $\frac{1}{(n + 1)}$

4 $\frac{m}{n (n + 1)}$

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