Simple Newton's Formula For Velocity Of Sound In Air
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Read the above passage and answer the following question.
Newton's formula for velocity of sound in air. Where E is elasticity and ρ is density of media. Newton assumed that sound wave travels in air under isothermal condition. V E ρ E ρ1 Where v velocity of sound in the medium.
DDensity of medium Newton assumed propagation of sound to be Isothermal process which is Adiabatic in reality. The experimental value for the velocity of sound in air at NTP was found to be 332 ms -1. Relationship of velocity or air with bulk modulus and density This is the required expression for velocity of sound in air.
Calculation of Velocity of air Now the velocity of sound in air using Newtons formula at NTP Normal Temperature and Pressure is given by. The corrected Newtons formula for velocity of sound in air is where P is pressure and is density of air for air. If B is the bulk modulus of the air v is velocity and ρ is the density then velocity is given by.
Newtons formula for velocity of sound in air. This is much lower than the experimental value of 332 ms. After 100 years Laplace corrected the Newtons assumption for velocity of sound.
Analytically it has been shown that velocity of sound in a medium of elasticity E and density ρ is given by v E ρ From this expression it is clear that E is maximum in case of solid then liquid and then gases. Class XII HSEBMechanical WavesNewtons Formula For Velocity of Sound in Air. Newtons formula for velocity is wrong as it gives value 280 ms which is wrong because velocity of sound calculated by modern experiment is 332 ms.
V Pd where p Pressure. Pressure P 11013 105 Nm2 Density of air ρ 1293 kgm3 Experimentally it has been found that the velocity of sound in air is 332 ms. E is the isothermal bulk modulus of elasticity.
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