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The main scale of a vernier calipers has divisions of length a . It is found that n divisions of the vernier scale coincide with (n-2) divisions of the main scale. The least count of the vernier calipers is :

Options

  1. Aa n
  2. B2a n
  3. C(n-2)a n
  4. Da n-2

Correct answer

B. 2a n

Step-by-step solution

Given n VSD = (n-2) MSD . 1 VSD = n-2 n MSD . The least count is given by 1 MSD - 1 VSD . Least count = 1 MSD - n-2 n MSD Least count = (1 - n-2 n ) MSD = ( n - n + 2 n ) MSD = 2 n MSD . Since 1 MSD = a , the least count is 2a n . Answer: 2a n

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