Mechanical Properties Of Solids Question 9
Question 9 - 01 February - Shift 1
A certain pressure ’ $P$ ’ is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to $0.01 %$ whereas the liquid gets compressed to $0.03 %$. The ratio of Bulk modulus of water to that of the liquid is $\frac{3}{x}$. The value of $x$ is
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Answer: (1)
Solution:
Formula: Bulk Modulus
$B _{\text{water }}=\frac{-\Delta P}{(\frac{\Delta V}{V})}=\frac{-\Delta P}{\frac{0.01}{100}}$
$B _{\text{liquid }}=\frac{-\Delta P}{0.03}$
100
$\frac{B _{\text{water }}}{B _{\text{liquid }}}=3$
$B _{\text{liquid }}$
$x=1$
