1.

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, v= 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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