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In ordinary Vernier calipers, 10^ th division of the Vernier scale coincides with 9^ mit division of the main scale. In a specially designed Vernier calipers the Vernier scale is so constructed that 10^ lh division on it coincides with 11^ th division on the main scale. Each division on the main scale equals to 1 mm . The calipers have a zero error as shown in the figure-I. When the Vernier caliper is used to measure

Options

  1. AZero error in the calipers has magnitude 0.7 mm .
  2. BThe length being measured is 1.08 cm .
  3. CThe length being measured is 1.22 cm .
  4. DThough the given Vernier scale does not follow the principle of Vernier scale, yet can be used satisfactorily.

Correct answer

C. The length being measured is 1.22 cm .

Step-by-step solution

VSD =1.1 ~mm and 1 MSD =1.0 ~mm Least count = LC = MSD VSD =0.1 ~mm For ( A ): Zero error =-( No. of divisions of vernier scale coincident ) LC =-7 0.1=-0.7 ~mm For ( C ) : Reading = (No. of divisions coincident on main scale) MSD - (No. of divisions coincident on vernier scale ) LC- zero error =1.22 ~cm

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