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Q.

The least count of the main scale of a vernier callipers is 1mm. 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 is between 3.1cm and 3.2cm and 4th VSD coincides with a main scale division. The length of the cylinder is (VSD is vernier scale division)

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a

3.07cm

b

3.17cm

c

2.99cm

d

3.21cm

answer is A.

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Detailed Solution

As zero of vernier scale is to the right of zero of main scale, error is +ve.least count =  MSD−VSD=0.1mmPositive zero error =7×LC=0.7mmMeasured length  =31mm+4L.C=31.4mm l=31.4mm−0.7mm=30.7mm=3.07cm
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