The breaking stress of aluminium is $7.5 \times 10^7 \,Nm ^{-2}$. The greatest length of aluminium wire that can hang vertically without breaking is $......... \times 10^3 \,m ($Density of aluminium is $2.7 \times 10^3 \,kg m ^{-3} )$
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Breaking stress $=\rho \times g \times L$
Substitute values from the question
Breaking stress $=7.5 \times 10^7 \,Nm ^{-2}$
$\left\{\begin{array}{l}\rho=\text { Density of material } \\ g=\text { Acceleration due to gravity } \\ L=\text { Length of wire that can hang without breaking }\end{array}\right\}$
$\rho=2.7 \times 10^3 \,kg m ^{-3}$
$g=9.8 \,m / s$
$7.5 \times 10^7$
$=2.7 \times 10^3 \times 9.8 \times L$
Substitute values from the question
Breaking stress $=7.5 \times 10^7 \,Nm ^{-2}$
$\left\{\begin{array}{l}\rho=\text { Density of material } \\ g=\text { Acceleration due to gravity } \\ L=\text { Length of wire that can hang without breaking }\end{array}\right\}$
$\rho=2.7 \times 10^3 \,kg m ^{-3}$
$g=9.8 \,m / s$
$7.5 \times 10^7$
$=2.7 \times 10^3 \times 9.8 \times L$
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