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Question

A screw gauge having 100 equal divisions and a pitch length of 1 mm is used to measure the diameter of a wire of length 5.6 cm. The main scale reading is 1 mm and 47th circular division coincides with the main scale. The curved surface area of wire (in cm2) to appropriate significant figures is

A
1.60
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B
3.20
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C
1.25
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D
2.6
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Solution

The correct option is D 2.6
Least count (LC) = 1 mm/100=0.01 mm
Diameter =MSR+CSR×LC
d=1+47×0.01=1.47 mm
Surface area,
S=πdl
S=227×1.47×56
S=258.72 mm2=2.5872 cm2
S=2.6 cm2

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