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

Options

  1. Aa
  2. Ba N
  3. CN N+1 a
  4. Da N+1

Correct answer

D. a N+1

Step-by-step solution

No of divisions on main scale =N No of divisions on vernier scale =N+1 size of main scale division =a Let size of vernier scale division be b then we have a N=b(N+1) b = a N N+1 Least count is a - b = a - a N N+1 =a [ N+1-N N+1 ]= a N+1

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