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Home » A constant force is applied to a metal wire of length ‘L’. Volume of the wire is constant. The extension produced is proportional to A) B) C) D)
A constant force is applied to a metal wire of length ‘L’. Volume of the wire is constant. The extension produced is proportional to
A)L^{2}
B)L^{3}
C)L
D)L^{-2}
Physics
A constant force is applied to a metal wire of length ‘L’. Volume of the wire is constant. The extension produced is proportional to
A)L^{2}
B)L^{3}
C)L
D)L^{-2}

Correct option is A L^{2}
Explanation:
let the volume be \mathrm{V} and area \mathrm{A}
\mathrm{Y}=\frac{\mathrm{Fl}}{\mathrm{A} \Delta \mathrm{L}}
\Delta \mathrm{L}=\frac{\mathrm{Fl}}{\mathrm{Y} \mathrm{A}}
\mathrm{V}=\mathrm{A} \times L
\mathrm{A}=\frac{\mathrm{V}}{\mathrm{L}}
\Delta \mathrm{L}=\frac{\mathrm{F} L^{2}}{\mathrm{YV}}

i

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