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Q.

A copper wire 3 mm in diameter is wound about a cylinder whose length is 1.2 meter and diameter is 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper wire to be 8.88 g/cm3

Sub Grade: 9

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a

125.6 m,111.533 kg

b

126 m, 112 kg

c

120 m, 110 kg

d

170 m, 108 kg

answer is A.

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Detailed Solution

Given, h= 1.2m = 120 cm
diameter of wire = 3 mm
= 3/10 cm
Number of round taken by copper wire
= h/d = 120/3/10 = 400
Length of wire = 2⊼r
= 2x22/7 x 5
= 31.4 cm
Total length of wire used in converting the curved surface of the cylinders
= 3.14x400
= 12560 cm
= 125.6 m
mass of wire = length density
= 12560x8.88
= 111532.8 gm
= 111.533 kg
Option 1 is correct.

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