The velocity of a sound wave at 27oC is 360ms-1... - JAMB Physics 1998 Question
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
correct option: 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
\(\frac{V_1}{V_2} = \sqrt{\frac{T_1}{T_2}}\)
therefore, \(\frac{360}{V_2} = \sqrt{\frac{27 + 273}{127 + 273}}\)
\(V_2 = 240\sqrt{3}\)m/s
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