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Q.

A Vernier caliper with no zero error is used to measure the diameter of a cylinder. It is found that the zero of the Vernier scale lies between 6.10 and 6.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.35 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is

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a

6.172 cm

b

6.147 cm

c

6.174 cm

d

6.137 cm

answer is B.

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Detailed Solution

Least count = 1 M.S.D - 1 V.S.D  = 0.05 - 0.047 = 0.003

Reading = 6.10 + 24 ×  0.003 = 6.172

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A Vernier caliper with no zero error is used to measure the diameter of a cylinder. It is found that the zero of the Vernier scale lies between 6.10 and 6.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.35 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is