cariyatकी अवहेलना करने वालों को क्या कहा जाता है
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The velocity of sound is given by v=Bρ−−√ and has an experimental value of 332 m/s.
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−−√
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