Question

Discuss Newton's formula for velocity of sound in air

Answer 1

Explanation:

Newtons formula for the speed of sound

Newtons formula for the speed of soundNewton worked on the propagation of sound waves through the air. He assumed that this process of propagation is isothermal. Absorption and release of heat during compression and rarefaction will be balanced, thus, the temperature remains constant throughout the process.

Answer 2

Answer:

Newtons formula for the speed of sound

Newton worked on the propagation of sound waves through the air. He assumed that this process of propagation is isothermal. Absorption and release of heat during compression and rarefaction will be balanced, thus, the temperature remains constant throughout the process.

According to Boyle’s law

PV = Constant

Where,

P is pressure

V is the volume of gas.

On differentiating above equation we get-

PdV+VdP=0

⇒ PdV = -VdP

⇒P=−VdPdV=dP−(dVV)

⇒ P = B

Where, B=dP−(dVV) is bulk modulus of air.

The velocity of the sound wave can be written as –

v=Bρ−−√

Thus substituting B =P we get-

v=Pρ−−√

Hope it helps you ....