Compute the fractional change in volume of a | vedclass

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(C) The Bulk modulus $(B)$ of glass is given by $B = 37 	imes 10^{9} \; N/m^2$.The formula for Bulk modulus is $B = \frac{p}{\Delta V / V}$,where $p$

Vedclass · Accepted Answer

$2.73 	imes 10^{-5}$

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(C) The Bulk modulus $(B)$ of glass is given by $B = 37 	imes 10^{9} \; N/m^2$.The formula for Bulk modulus is $B = \frac{p}{\Delta V / V}$,where $p$ is the hydraulic pressure and $\Delta V / V$ is the fractional change in volume.Rearranging the formula,we get the fractional change in volume: $\frac{\Delta V}{V} = \frac{p}{B}$.Given $p = 10 \; atm = 10 	imes 1.013 	imes 10^{5} \; Pa = 1.013 	imes 10^{6} \; Pa$.Substituting the values: $\frac{\Delta V}{V} = \frac{1.013 	imes 10^{6}}{37 	imes 10^{9}}$.$\frac{\Delta V}{V} \approx 0.02737 	imes 10^{-3} = 2.737 	imes 10^{-5}$.Rounding to the nearest option,the fractional change in volume is $2.73 	imes 10^{-5}$.

Compute the fractional change in volume of a glass slab,when subjected to a hydraulic pressure of $10 \; atm$.

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