The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier callipers, are equal to 10 divisions of vernier scale. One main scale division is 1

Question

The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier callipers, are equal to 10 divisions of vernier scale. One main scale division is 1 mm . The main scale reading is 10 mm and 8 th division of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of 0 . 04 cm , then the radius of the bob is _____________ × 10 - 2 cm .

TestHub · Accepted Answer

9 M S D = 10 V S D 1 V S D = 0 . 9 mm 1 M S D = 1 mm ∴ L . C . = M S D - V S D M S D = 1 - 0 . 9 1 = 0 . 1 Reading = Main scale reading + L.C. × vernier scale reading = 10 + 0 . 1 × 8 = 10 . 8 mm Reading of diameter = 10 . 8 mm - 0 . 4 mm = 10 . 4 mm radius of the bob = 5 . 2 mm = 0 . 52 cm = 52 × 10 - 2 cm

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