Question

A metal block is experiencing an atmospheric pressure of $1\times {10}^{5}N/m^2$ when the same block is placed in a vaccum chamber the fractional change in its volume is (the bulk modulus of metal is $1.25\times {10}^{11}N/m^2$)

• A. $4\times {10}^{-7}$
• B. $2\times {10}^{-7}$
• C. $8\times {10}^{-7}$
• D. $1\times {10}^{-7}$

Answer 1

The correct option is C $8\times {10}^{-7}$

Bulk modulus$\left(K\right)$=$\frac{p}{\frac{△V}{V}}$

where,$p=$pressure experienced$=1\times {10}^{5}N/m^2$

$K=1.25\times {10}^{11}N/m^2$

$\therefore \frac{△V}{V}=\frac{p}{K}$

$=\frac{1\times {10}^5}{1.25\times {10}^{11}}$

$\therefore \frac{△V}{V}=8\times {10}^{-7}$