For a person with normal hearing the faintest sound that can be heard at a frequency of $$400Hz$$ has a pressure amplitude of about $$6$$×$$10$$−$$5$$ $$N/m2$$. Calculate the corresponding intensity in $$W/m2$$. Take speed of sound in air as $$344m/s$$ and density of air $$1.2$$ $$kg/m3$$

Question

For a person with normal hearing the faintest sound that can be heard at a frequency of $$400Hz$$ has a pressure amplitude of about $$6$$×$$10$$−$$5$$ $$N/m2$$. Calculate the corresponding intensity in $$W/m2$$. Take speed of sound in air as  $$344m/s$$ and density of air $$1.2$$ $$kg/m3$$

Infinity Learn · Accepted Answer

GivenFrequency  $$f=400$$ HzPressure  Δ$$P=6.0$$×$$10$$−$$5$$ paSpeed of sound in air  $$V=344$$ $$m/sDensity$$ of air  ρ$$=1.2$$ $$kg/m3Intensity$$  $$I=v$$Δ$$P2max2BSubstituting$$ $$B=$$ρ$$v2$$ the above equation reduces to $$I=($$Δ$$P)max22$$ρ$$v=6.0$$×$$10$$−$$522$$×$$1.2$$×$$344=0.0436$$×$$10$$−$$10$$≃$$4.4$$×$$10$$−$$12W/m2$$

For a person with normal hearing the faintest sound that can be heard at a frequency of 400Hz has a pressure amplitude of about $6 \times 10^{- 5} {N/m}^{2}$ . Calculate the corresponding intensity in $W / m^{2}$ . Take speed of sound in air as 344m/s and density of air $1.2 kg / m^{3}$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

For a person with normal hearing the faintest sound that can be heard at a frequency of 400Hz has a pressure amplitude of about 6×10−5 N/m2. Calculate the corresponding intensity in W/m2. Take speed of sound in air as 344m/s and density of air 1.2 kg/m3

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

For a person with normal hearing the faintest sound that can be heard at a frequency of 400Hz has a pressure amplitude of about $6 \times 10^{- 5} {N/m}^{2}$ . Calculate the corresponding intensity in $W / m^{2}$ . Take speed of sound in air as 344m/s and density of air $1.2 kg / m^{3}$