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 (3/x). The value of x is

Question

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 (3/x). The value of x is  (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

B text water =(-Δ P/((Δ V)V))=(-Δ P/(0.01)100) B text liquid =(-Δ P/(0.03)100) (B text water /B text liquid )=3 x=1

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 ________

$B_{water} = \frac{- Δ P}{( \frac{Δ V}{V} )} = \frac{- Δ P}{\frac{0.01}{100}}$
$B_{liquid} = \frac{- Δ P}{\frac{0.03}{100}}$
$\frac{B _{water}}{B _{liquid}} = 3$
$x = 1$

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 x3​. The value of x is ________

Bwater ​=(VΔV​)−ΔP​=1000.01​−ΔP​ Bliquid ​=1000.03​−ΔP​ Bliquid ​Bwater ​​=3 x=1

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 ________

$B_{water} = \frac{- Δ P}{( \frac{Δ V}{V} )} = \frac{- Δ P}{\frac{0.01}{100}}$
$B_{liquid} = \frac{- Δ P}{\frac{0.03}{100}}$
$\frac{B _{water}}{B _{liquid}} = 3$
$x = 1$