Question

1) If a sound with the same amplitude and energy is propagated at a source, predict through which medium the sound will travel the fastest and provide reasoning

Answer 1

denser media the speed is greater

Step-by-step explanation:

The speed of sound is given by the relation

`v= \sqrt{(B)/(\rho) }`

where B is the volume modulus and ρ the density of the medium

When analyzing the previous expression, the amplitude of the sound depends on the energy carried by the wave.

Wave speed, is given by the relationship between two magnitudes, we analyze their values ​​for different media. The volume modulus for gases has values ​​of the order of 10⁵ Pa, for liquids of the order of 10⁹ Pa and for solids of 10¹⁰ to 10¹¹ Pa, while the density has values ​​of the order of 10⁻¹ to 10⁰ kg / m³ for gases for liquids 10³ kg / m³ and for solids of the order of 10³ to 10⁴ kg / m³

let's find the order of magnitude of the speed of sound

Gases

v =√ 10⁵/10⁰ = 300 m / s

liquids

v =√ 10⁹/10³ = 1000 m / s

solid

v = √ 10¹¹/ 10⁴ = 3000 m / s

We can see that in denser media the speed is greater