The main scale of a vernier calliper has $n$ divisions per $cm$. $n$ divisions of the vernier scale coincide with $(n-1)$ divisions of the main scale. The least count of the vernier calliper is,

  • A
    $\frac{1}{(n+1)(n-1)} \text{ cm}$
  • B
    $\frac{1}{n} \text{ cm}$
  • C
    $\frac{1}{n^2} \text{ cm}$
  • D
    $\frac{1}{n(n+1)} \text{ cm}$

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