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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

Options

  1. Aa   N
  2. Ba
  3. Ca N + 1
  4. DN a N + 1

Correct answer

C. a N + 1

Step-by-step solution

It is given that N + 1 Divisions on vernier scale V . S . D . = N Divisions on main scale M . S . D . ⇒   1   V . S . D . = N N + 1 M . S . D . Least count of vernier callipers L . C . = 1   M . S . D . - 1   V . S . D . ⇒     L . C . = a - a N N + 1 = a N + 1   unit

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