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Question: The area of cross section of a steel wire <img src="https://cdn.pureessence.tech/canvas_666.png?top_...

The area of cross section of a steel wire is0.1 cm20.1 \mathrm {~cm} ^ { 2 }. The force required to double its length will be

A

2×1012N2 \times 10 ^ { 12 } N

B

2×1011N2 \times 10 ^ { 11 } N

C
D
Answer
Explanation

Solution

When the length of wire is doubled then l=Ll = L and strain = 1 ∴ Y = strain =FA\frac { F } { A }

∴ Force = Y × A =2×1011×0.1×104= 2 \times 10 ^ { 11 } \times 0.1 \times 10 ^ { - 4 }