Sound travels ______ in media with low density.

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Multiple Choice

Sound travels ______ in media with low density.

Explanation:
Sound speed depends on how easily a medium can be compressed relative to how much inertia its particles have. A handy way to think about it is v ≈ sqrt(K/ρ), where K is a measure of stiffness (how hard it is to compress) and ρ is density. If the density drops and the material’s stiffness doesn’t drop much, the ratio K/ρ increases, so the disturbance (the sound wave) propagates faster. That’s why, all else being equal, sound travels faster in media with lower density. The exact speed, of course, also depends on how compressible the medium truly is; if stiffness also drops a lot, the speed change could be different. So the best answer is that sound travels faster in low-density media.

Sound speed depends on how easily a medium can be compressed relative to how much inertia its particles have. A handy way to think about it is v ≈ sqrt(K/ρ), where K is a measure of stiffness (how hard it is to compress) and ρ is density. If the density drops and the material’s stiffness doesn’t drop much, the ratio K/ρ increases, so the disturbance (the sound wave) propagates faster. That’s why, all else being equal, sound travels faster in media with lower density. The exact speed, of course, also depends on how compressible the medium truly is; if stiffness also drops a lot, the speed change could be different. So the best answer is that sound travels faster in low-density media.

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