Two non-viscous organic liquids A and B have densities 0.80g cm−3 and 1.00g cm−3 respectively. Experiments show that both liquids possess the same bulk modulus.
(a) Starting from the appropriate relation for sound propagation, obtain an expression for the ratio vBvA of the speeds of sound in the two liquids in terms of their densities.
(b) If the speed of sound in liquid B is measured to be 1.50km s−1, calculate the speed in liquid A.
(c) Determine the percentage by which the speed in liquid A exceeds that in liquid B.