The compressibility of water is 5 times 10^{- | vedclass

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(C) Compressibility $\beta$ is defined as the reciprocal of the Bulk Modulus $K$,i.e.,$\beta = \frac{1}{K}$.Given:Compressibility $\beta = 5 	imes 10

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$0.75 \ ml$ decrease.

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(C) Compressibility $\beta$ is defined as the reciprocal of the Bulk Modulus $K$,i.e.,$\beta = \frac{1}{K}$.Given:Compressibility $\beta = 5 	imes 10^{-10} \ m^2/N$Change in pressure $\Delta P = 15 	imes 10^6 \ Pa$Initial volume $V = 100 \ ml$The formula for volumetric strain is $\frac{\Delta V}{V} = -\beta \Delta P$.Substituting the values:$\frac{\Delta V}{100 \ ml} = -(5 	imes 10^{-10} \ m^2/N) 	imes (15 	imes 10^6 \ Pa)$$\frac{\Delta V}{100 \ ml} = -75 	imes 10^{-4} = -0.0075$$\Delta V = -0.0075 	imes 100 \ ml = -0.75 \ ml$.The negative sign indicates a decrease in volume.Therefore,the change in volume is a $0.75 \ ml$ decrease.

The compressibility of water is $5 \times 10^{-10} \ m^2/N$. $A$ pressure of $15 \times 10^6 \ Pa$ is applied on $100 \ ml$ volume of water. The change in the volume of water is:

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