A glass slab is subjected to a pressure of 10 | vedclass

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(D) The Bulk modulus $(B)$ is defined as the ratio of the change in pressure $(P)$ to the fractional change in volume $(\frac{\Delta V}{V})$:$B = \fra

Vedclass · Accepted Answer

$2.7 	imes 10^{-5}$

Vedclass · Answer

(D) The Bulk modulus $(B)$ is defined as the ratio of the change in pressure $(P)$ to the fractional change in volume $(\frac{\Delta V}{V})$:$B = \frac{P}{\Delta V / V}$Rearranging the formula to find the fractional change in volume:$\frac{\Delta V}{V} = \frac{P}{B}$Given values:$P = 10 \, atm = 10 	imes 10^5 \, N \, m^{-2} = 10^6 \, N \, m^{-2}$$B = 37 	imes 10^9 \, N \, m^{-2}$Substituting the values into the equation:$\frac{\Delta V}{V} = \frac{10^6}{37 	imes 10^9}$$\frac{\Delta V}{V} = \frac{1}{37} 	imes 10^{-3}$$\frac{\Delta V}{V} \approx 0.027027 	imes 10^{-3}$$\frac{\Delta V}{V} = 2.7 	imes 10^{-5}$

$A$ glass slab is subjected to a pressure of $10 \, atm$. The fractional change in its volume is (Bulk modulus of glass $= 37 \times 10^9 \, N \, m^{-2}$,$1 \, atm = 1 \times 10^5 \, N \, m^{-2}$)

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