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If n^(th) division of main scale coincid...

If `n^(th)` division of main scale coincides with `(n + 1)^(th)` divisions of vernier scale. Given one main scale division is equal to 'a' units. Find the least count of the vernier.

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To find the least count of the Vernier scale given that the \( n^{th} \) division of the main scale coincides with the \( (n + 1)^{th} \) division of the Vernier scale, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Given Information**: - We know that one main scale division (MSD) is equal to \( a \) units. - The \( n^{th} \) division of the main scale coincides with the \( (n + 1)^{th} \) division of the Vernier scale. ...
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