A certain pressure 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 . The value of is ________.

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Solution

Q.
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 ________. [2023]

Ans.
(1)

$B_{water} = \frac{- Δ P}{(\frac{Δ V}{V})} = \frac{- Δ P}{\frac{0.01}{100}}$

$B_{liquid} = \frac{- Δ P}{\frac{0.03}{100}}$

$\frac{B_{water}}{B_{liquid}} = 3 \Rightarrow x = 1$

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