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Physics · PYQ NEET UG 2019(2)
हिन्दीThe main scale of a vernier callipers has \( n \) divisions/cm. \( n \) divisions of the vernier scale coincide with \( (n - 1) \) divisions of main scale. The least count of the vernier callipers is,
Correct answer · Option 4
\( \frac{1}{n^2}\text{ cm} \)
Explanation
Value of 1 main scale division \( \text{MSD} = \frac{1}{n}\text{ cm} \). Given \( n\text{ VSD} = (n-1)\text{ MSD} \), so \( 1\text{ VSD} = \frac{n-1}{n}\text{ MSD} \). Least count \( \text{LC} = 1\text{ MSD} - 1\text{ VSD} = \frac{1}{n} (1 - \frac{n-1}{n}) = \frac{1}{n^2}\text{ cm} \).
