question_answer 14)

Compute the fractional change in volume of a glass slab, when subjected to a hydrautic pressure of 10 atmosphere. Bulk modulus of elasticity of glass \[=\frac{44500}{\left( 15\cdot 2\times 19\cdot 2\times {{10}^{-6}} \right)\times 42\times {{10}^{9}}}=3\cdot 65\times {{10}^{-3}}\] and \[1\,atm=1.03\times {{10}^{5}}\,pa\].

Answer:

Here,\[{{10}^{8}}N{{m}^{-2}},\]                 \[{{10}^{8}}\times \pi {{r}^{2}}={{10}^{8}}\times \left( 22/7 \right)\times {{\left( 1\cdot 5\times {{10}^{-2}} \right)}^{2}}=7\cdot 07\times {{10}^{4}}N\]                 Volumetric strain \[110\times {{10}^{9}}\]                 \[N{{m}^{-2}}\]                 \[190\times {{10}^{9}}\] Fractional change in volume =  \[N{{m}^{-2}}\]                       \[\text{Y=}\frac{\text{4F/ }\!\!\pi\!\!\text{ }{{\text{D}}^{\text{2}}}}{\text{strain}}\]