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At what temperature (in ºC) will the speed of sound in air be 3 times its value at 0ºC? |
Answer» \(v\propto \sqrt T\) or \(\frac{v_r}{v_0}=\sqrt{\frac{T}{T_0}}\) From question, vT = 3v0 ∴ \(\frac{3v_0}{v_0}=\sqrt{{\frac{T}{273+0}}}\) or \(\sqrt T=3\sqrt{ 273}\) T = 9 × 273 = 2457 K T = 2457 – 273 T = 2184ºC |
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