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Mechanical Properties of Solids

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Question : 14 of 21
Marks: +1, -0
Compute the fractional change in volume of a glass slab, whensubjected to a hydraulic pressure of 10 atm.
Solution:  
Here, P=10 atm=10×1.013×105 PaP=10\,\text{atm}=10\times 1.013\times 10^{5}\,\text{Pa}
Bulk modulus of glass B=37×109 N m−2B=37\times 10^{9}\,\text{N}\,\text{m}^{-2}
Volumetric strain =ΔVV=PB=\frac{\Delta V}{V}=\frac{P}{B}
=10×1.013×10537×109=\frac{10\times 1.013\times10^{5}}{37\times10^{9}}
=2.74×10−5=2.74\times10^{-5}
∴\therefore Fractional change in volume =ΔVV=2.74×10−5=\frac{\Delta V}{V}=2.74\times10^{-5}
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