One main scale division of a vernier callipers is ' \( a \) ' \( \m...

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One main scale division of a vernier callipers is ' \( a \) ' \( \mathrm{cm} \)
P and \( \mathrm{n}^{\text {th }} \) division of the vernier scale coincide with

W) \( (n-1)^{\text {th }} \) division of the main scale. The least count of the callipers in \( \mathrm{mm} \) is:
[JEE Main-2021 (March)]
(a) \( \frac{10 \mathrm{a}}{\mathrm{R}} \)
(b) \( \frac{10 \mathrm{ra}}{(\mathrm{r}-1)} \)
(c) \( \left(\frac{R-1}{10 R}\right) a \)
(d) \( \frac{10 \mathrm{a}}{(\mathrm{r}-1)} \)
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