The speed of a longitudinal wave in a metallic bar is 400 m s⁻¹. If the density and the Young's modulus of the bar material are increased by 0.5% and 1% respectively, the speed of the wave changes to approximately m s⁻¹.

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(2) 401. v=√Y/ρ, so (Δ v)/v=1/2((Δ Y)/Y-(Δρ)/ρ)=1/2(1%-0.5%)=0.25%. v'=400×1.0025=401 m s⁻¹.

The speed of a longitudinal wave in a metallic bar is 400 m s⁻¹. If the density and the Young's modulus of the bar material are increased by 0.5% and 1% respectively, the speed of the wave changes to approximately ______ m s⁻¹.

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