Calculate the percentage increase in the length of a wire of diameter 2mm stretched by a force
of 1kg F. Young’s modulus of the material of wire is 15 X 1010N/m2
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Answer:
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Explanation:
Given that,
Young’s modulus of the material Y=15×10
10
N/m
Diameter d=2mm
Radius r=0.02m
Force F=1kg
Now,
Y=
l
Δl
A
F
l
Δl
=
A×Y
F
l
Δl
×100=[
3.14×(0.002)
2
×15×10
10
9.8
]×100
l
Δl
×100=[
3.14×4×10
−6
×15×10
10
9.8
]×100
l
Δl
×100=[0.052017×10
−4
]×100
l
Δl
×100=0.00052 %
Hence, the percentage increase in length of a wire is 0.00052 %
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