question_answer 15)

Determine the volume contraction of a solid copper cube, 10 cm on an edge when subjected to a hydraulic pressure of \[{{D}^{2}}\alpha 1/Y\] Bulk modulus of copper = 140 G Pa.

Answer:

Here,\[\therefore \]                 \[\frac{{{D}_{cu}}}{{{D}_{iron}}}=\]                 As, \[\sqrt{\frac{{{Y}_{iron}}}{{{Y}_{CU}}}}\]                 \[=\sqrt{\frac{190\times {{10}^{9}}}{110\times {{10}^{9}}}}=\sqrt{\frac{19}{11}}=1\cdot 31\]\[0\cdot 065c{{m}^{2}}.\]                  \[{{Y}_{steel}}=2\times {{10}^{11}}N{{m}^{-2}}.\]