A sound waves is travelling towards right and its S-t graph is as shown for x = 0.
What will be density vs x graph at t = T/4

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A sound waves is travelling towards right and its S-t graph is as shown for x = 0.What will be density vs x graph at t = T/4

Accepted Answer

Sol. S = S0 sin (ωt + Kx)∆ P = B S0K cos (ωt – Kx)As PM = ρRTSo ρ = ρ0 cos (ωt – Kx)⇒ ρ = $ho_{0}\cos\left( \omega 	imes \frac{T}{r} - Kx ight)$ (at t = $\frac{T}{4}$)⇒ ρ = $ho_{0}\cos\left( \frac{\pi}{2} - Kx ight)$ = ρ0sin Kx

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