The density of a certain liquid is doubled while its bulk modulus remains unchanged

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The density of a certain liquid is doubled while its bulk modulus remains unchanged. How does the speed of sound in the liquid change? (a) It becomes

\sqrt{2}

times the original value. (b) It decreases to

\dfrac{1}{2}

of the original value. (c) It decreases to

\dfrac{1}{\sqrt{2}}

of the original value. (d) It remains unchanged.