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Air temperature in the Rajasthan desert can reach 46°C. What is the velocity of sound in air at that temperature? (V0 = 331 ms-1) |
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Answer» Velocity of sound at 0°C is V0 = 331 ms-1 Let the sound at 46°C is be Vt \(\frac{v_t}{v_0}\) = \(\sqrt\frac{273 +T}{273}\) where temperature is T = 46°C = \(\frac{V_t}{331}\) = \(\sqrt{\frac{273 + 46}{273}}\) = \(\sqrt{\frac{319}{273}}\) = \(\sqrt{1.168}\) = 1.080 Vt= 331 × 1.080 = 357.48 m/s. ∴ Velocity of sound in air at that temperature = 357.48 m/s. |
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