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The velocity of a sound wave at 27oC is 360ms

The velocity of a sound wave at 27oC is 360ms-1. Its velocity at 127oC is

A.

120√3 ms-1

B.

240 ms-1

C.

240√3 ms-1

D.

720√3 ms-1

View answer & explanation

Correct answer is C

Velocity \(\alpha \sqrt{temperature}\)

\(\frac{V_1}{V_2} = \sqrt{\frac{T_1}{T_2}}\)

therefore, \(\frac{360}{V_2} = \sqrt{\frac{27 + 273}{127 + 273}}\)

\(V_2 = 240\sqrt{3}\)m/s

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