Question

How much pressure should be applied on a litre of water if it is to be compressed by $0.1\%$ ?
(Bulk modulus of water = $2100MPa)$

• A. $2100kpa$
• B. $210kpa$
• C. $2100Mpa$
• D. $210Mpa$

Answer 1

Answer: (A)

Here, $V=1litre=10^{-3}{m}^3$,
$B=2100Mpa$ $=2100\times 10^{6}pa$
Volume strain$=\frac{\Delta V}{V}$ $=\frac{0.1}{100}$ $=1\times 10^{-3}$
Bulk modulus,$B=\frac{P}{\Delta V/V}$
$P=B\frac{\Delta V}{V}$ $=2100\times 10^6\times 1\times 10^{-3}$
$=21\times 10^{5}pa$ $=2100\times 10^{3}pa$ $=2100kpa$