Question

a spherical ball contracts in volume by 0.01% when subjected to a normal uniform pressure 100atm .the bulk modulus of its material is

Answer 1

B=P/dv/v
B= 100/0.00001=1×10^6atm
10^6*1×10^5 N/m^2
10*10^10N/m^2

Answer 2

Answer:

The bulk modulus of its material is $\bold{10 \times 10^{10} N / m^{2}}$

Explanation:

The bulk modulus of the material is calculated as following -

Given is that volume contract by 0.01 %.  

Pressure = 100 atm

As we know that Bulk modulus is given by –

$\bold{B=\frac{P}{\frac{d v}{V}}}$

$\begin{array}{l}{\Rightarrow B=\frac{P}{\frac{d v}{v}}} \\ {\Leftrightarrow B=\frac{100}{0.01 \%}} \\ {\Rightarrow B=\frac{100}{0.000001}}\end{array}$

$\begin{array}{l}{\Rightarrow B=10 \times 10^{5} a t m} \\ {\Rightarrow B=10 \times 10^{5} \times 10^{5}}\end{array}$

$\bold{\Leftrightarrow \quad B=10 \times 10^{10} N / m^{2}}$