# A Spherical Ball Contracts In Volume By 0.01 % When Subjected To A Normal Uniform Pressure Of 100atm. The Bulk Modulus Of Its Material Is

As the spherical contracts in volume by 0.01%

=

$$\begin{array}{l} \frac{\Delta v}{v} = \frac{0.01}{100}\end{array}$$

We know that Bulk modulus ‘B’ is given by

B =

$$\begin{array}{l} \frac{pressure (p)}{volume strain (\frac{\Delta v}{v})}\end{array}$$

= B =

$$\begin{array}{l} \frac{100 * 1.01 * 10^{5}}{\frac{0.01}{100}}\end{array}$$

Since 1atm =

$$\begin{array}{l} 1.01 * 10^{5} N/M^{2}\end{array}$$

= B =

$$\begin{array}{l} 1.01 * 10^{11} NM^{-2} \end{array}$$

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