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The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of the main scale. When jaws are touching each other, the 7th division of vernier scale coincides with a division of main scale and the zero of vernier scale is lying right side of the zero of main scale. When this vernier is used to measure length of a cylinder the zero of the vernier scale between 3.1 cm and 3.2 cm and 4th VSD coincides with a main scale division. The length of the cylinder is (VSD is vernier scale division) (1) 3.21 cm (2) 2.99 cm (3) 3.07 cm (4) 3.2 cm |
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Answer» Answer is (3) 3.07 cm Least count of V.C = \(\Big(1-\frac{9}{10}\Big)\times1mm\) = 0.1 mm ∴ Zero error = 7 × 0.1 = 0.7 mm positive error Measured value = (31 + 4 × 0.1) mm = 31.4 mm ∴ Length of cylinder = 31.4 – 0.7 = 30.7 mm = 3.07 cm |
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