Two wires are made of same material and have same volume. However wire 1 has crosssectional area A a

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8.Mechanical Properties of Solids

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Two wires are made of the same material and have the same volume. However wire $1$ has crosssectional area $A$ and wire $2$ has cross-section area $3A$. If the length of wire $1$ increases by $\Delta x$ on applying force $F$, how much force is needed to stretch wire $2$ by the same amount?

A

$F$

B

$4\,F$

C

$6\,F$

D

$9\,F$

Solution

$\mathrm{F}=\frac{\mathrm{YA} \Delta \mathrm{x}}{\mathrm{L}}=\frac{\mathrm{YA}^{2} \Delta \mathrm{x}}{\mathrm{V}}$

$F \propto A^{2}$

Standard 11

Physics

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