The density of water at STP is 775 times that of air If the velocity of sound in - Physics - Waves

Question

The density of water at STP is 775 times that of air If the
velocity of sound in water is 9/2 times that in air, what will be
the ratio of bulk modulus of water and air?
[Answer : 15700 : 1]
NO LINKS PLEASE

Sayantan · Accepted Answer

Dear Student,

We have the following formula

v=βρ
(i)givenρwρa=775   and vwva=92from (i) we havevwva=βwβa×ρaρwor, βwβa=vwva2×ρwρa⇒814×775≈157001βw≈15700βa

Regards

The density of water at STP is 775 times that of air. If the velocity of sound in water is 9/2 times that in air, what will be the ratio of bulk modulus of water and air? [Answer : 15700 : 1] NO LINKS PLEASE

The density of water at STP is 775 times that of air. If the velocity of sound in water is 9/2 times that in air, what will be the ratio of bulk modulus of water and air?
[Answer : 15700 : 1]
NO LINKS PLEASE