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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For a standard Vernier calliper ( 1 main scale division = 1 mm, 10 Vernier scale divisions = 9 main scale divisions), if the zero of the Vernier scale lies to the left of the main scale zero and the 4^ th Vernier division coincides with a main scale division, the zero error is -0.6 mm. Reason (R):

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

C. (A) is correct but (R) is not correct

Step-by-step solution

For a standard Vernier calliper, the least count (LC) is: LC = 1 MSD - 1 VSD = 1 mm - 0.9 mm = 0.1 mm When the zero of the Vernier scale lies to the left of the main scale zero, the instrument has a negative zero error. The magnitude of a negative zero error is given by (N - n) LC , where N is the total number of Vernier divisions and n is the coinciding division. Zero error = -(10 - 4) 0.1 mm = -6 0.1 mm = -0.6 mm Thus, Assertion (A) is correct. Reason (R) states that the magnitude is calculated as (n LC ) , which

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