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Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atmosphere. Bulk modulus of elasticity of glass $=37 \times 10^9 \mathrm{~N} / \mathrm{m}^2$ and $1 \mathrm{~atm}=1.013 \times 10^5 \mathrm{~Pa}$.
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Verified Answer
Here pressure,
$$
\begin{aligned}
&\begin{array}{l}
P=10 \mathrm{~atm}=10 \times 1.013 \times 10^5 \mathrm{~Pa}, \\
B=37 \times 10^9 \mathrm{~N} / \mathrm{m}^2
\end{array} \\
&\text { Vol. strain }=\frac{\text { stress }}{\text { bulk modulus }}=\frac{P}{B} \\
&\qquad=\frac{10 \times 1.013 \times 10^5}{37 \times 10^9}=2.74 \times 10^{-5}
\end{aligned}
$$
$$
\begin{aligned}
&\begin{array}{l}
P=10 \mathrm{~atm}=10 \times 1.013 \times 10^5 \mathrm{~Pa}, \\
B=37 \times 10^9 \mathrm{~N} / \mathrm{m}^2
\end{array} \\
&\text { Vol. strain }=\frac{\text { stress }}{\text { bulk modulus }}=\frac{P}{B} \\
&\qquad=\frac{10 \times 1.013 \times 10^5}{37 \times 10^9}=2.74 \times 10^{-5}
\end{aligned}
$$
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