1. Tardigrade
  2. Question
  3. Physics
  4. The bulk modulus of rubber is 9.1× 108N/m2 . To what depth a rubber ball be taken in a lake so that its volume is decreased by 0.1 % ?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The bulk modulus of rubber is $9.1\times 10^{8}N/m^{2}$ . To what depth a rubber ball be taken in a lake so that its volume is decreased by $0.1\%$ ?

NTA AbhyasNTA Abhyas 2022

Solution:

$K=\frac{\Delta P}{\left(- \frac{\Delta V}{V}\right)}=\frac{h \rho g}{\left(- \frac{\Delta V}{V}\right)}$
$9.1 \times 10^{8}=\frac{h \times 10^{3} \times 10}{\left(\frac{0.1}{100}\right)} \Rightarrow h=91 m$