Question

The bulk modulus of rubber is $9.8\times {10}^{8}N/m^2$. To what depth a rubber ball be taken in a lake so that its volume is decreased by $0.1$% ?

• A. $1km$
• B. $25km$
• C. $100km$
• D. $200km$

Answer 1

The correct option is C $100km$

$B=\frac{P}{\frac{\Delta V}{V}}$

$P=h\rho g=h\times {10}^3\times 9.8=9.8h\times {10}^3$

$9.8\times {10}^8=\frac{9.8h\times {10}^3}{\frac{0.1}{100}}$

$h=100km$