Materials

The table below shows data for two structural cables, X and Y.

Cable	Original length / $m\text{m}$	Diameter / $mm\text{mm}$	Young modulus of material / $GPa\text{GPa}$
X	2.5	1.5	210
Y	2.0	3.0	105

Both cables are subject to the same tensile force and both obey Hooke's law.

What is the value of the ratio $Y\displaystyle \frac{\text{extension of X}}{\text{extension of Y}}$ ?

$0.40$

$1.25$

$2.5$

$5.0$

The table below shows data for two structural cables, X and Y.

Cable	Original length / $m\text{m}$	Diameter / $mm\text{mm}$	Young modulus of material / $GPa\text{GPa}$
X	2.5	1.5	210
Y	2.0	3.0	105

Both cables are subject to the same tensile force and both obey Hooke's law.

What is the value of the ratio $Y\displaystyle \frac{\text{extension of X}}{\text{extension of Y}}$ ?

$0.40$

$1.25$

$2.5$

$5.0$

Materials Questions