Question

what is the newton's assumption for the propagation of sound in a medium? what is Laplace's correction in it?

Answer 1

He corrected the Newtons formula by assuming that, there is no heat exchange takes place as the compression and rarefaction takes place very fast. Thus, the temperature does not remain constant and the propagation of the sound wave in air is an adiabatic process.

For an adiabatic process

PV = Constant

Where,

is adiabatic index γ=CpCv

Cp specific heat for constant pressure

Cv specific heat for constant volume.

Differentiating both the sides we get-

VγdP+PγVγ−1dV=0

Dividing both the sides by V-1

VdP+PγVdV=0 Pγ=−dP(dVV)=B

The velocity of sound is given by

v=Bρ−−√

Substituting B= P in above equation we get-

Velocity of sound formula

v=γPρ−−−√

hope it helps

Mark as brainliest

Answer 2

Explanation:

it was not for the propagation of sound..but it was for the propagation of light...as Newton stated that light is of particle nature...which was not certainly true..and was replaced by Huygens wave concept