1.

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)

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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