$N$ divisions on the main scale of a vernier calipers coincide with $(N + 1)$ divisions of the vernier scale. If each division of main scale is $a$ units, then the least count of the calipers is

  • A
    $\frac{a}{N}$
  • B
    $a$
  • C
    $\frac{a}{N + 1}$
  • D
    $\frac{N a}{N + 1}$

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