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Q.

The diameter of a cylinder is measured using a Vernier calipers with no zero error. If is found that the zero of the Vernier scale lies between 5.10cm and 5.15cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45cm. The 24division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of cylinder is

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a

5.112cm

b

5.124cm

c

5.136cm

d

5.148cm

answer is B.

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Detailed Solution

value of 1 Vernier Scale Division= 1 VSD=2.45cm50=0.049cm value of 1 Main Scale Division=1MSD =5.15−5.10=0.05cm Least Count=L.C  = value of 1MSD −value of1VSD =0.05−0.049                                         =0.001cm given Vernier Coincidence= VC=24 Diameter of wire =MSD+VC×L.C                                =5.10+24×0.001                                =5.10+0.024 Diameter of wire =5.124cm
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The diameter of a cylinder is measured using a Vernier calipers with no zero error. If is found that the zero of the Vernier scale lies between 5.10cm and 5.15cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45cm. The 24division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of cylinder is