While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is 1 mm and circular scale reading is equal to 42 divisions. Pitch of screw gauge is 1 mm and it has 100 divisions on circular scale. The diameter of the wire is x/50 mm. The value of x is :
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Question

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is 1 mm and circular scale reading is equal to 42 divisions. Pitch of screw gauge is 1 mm and it has 100 divisions on circular scale. The diameter of the wire is x/50 mm. The value of x is :

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G1 Physics · Accepted Answer

Least count: LC = Pitch/(number of circular-scale divisions) = 1/100 mm = 0.01 mm Diameter: = MSR + CSR × LC = 1 + 42 × 0.01 = 1.42 mm Given: 1.42 = x/50 Therefore: x = 71