A tall column is completely filled with

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

A tall column is completely filled with (A) water and (B) kerosene in two separate experiments. For water the bulk modulus is

2.2\times10^{9}\,\text{N m}^{-2}

and the density is

1.0\times10^{3}\,\text{kg m}^{-3}

. For kerosene the bulk modulus is

1.6\times10^{9}\,\text{N m}^{-2}

and the density is

0.80\times10^{3}\,\text{kg m}^{-3}

. (i) Calculate the speed of sound in each liquid. (ii) The kerosene is now compressed isothermally so that its density becomes

0.82\times10^{3}\,\text{kg m}^{-3}

while its bulk modulus remains the same. Determine the new speed of sound in kerosene and the percentage change from the initial value.