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Suppose that the compressions and reflections during propagation of a longitudinal sound wave in air P V to the power of 6 y divided by 7 end exponent equals constant. (Allgundergo a process which is neither isothermal nor adiabatic but obeys the law. symbols have their usual meanings with g = Cp /Cv ). the speed of the wave in terms of air temperature would be

  1. open square brackets fraction numerator 5 gamma R T over denominator 7 M end fraction close square brackets to the power of 1 divided by 2 end exponent    
  2. open square brackets fraction numerator 6 gamma R T over denominator 7 M end fraction close square brackets to the power of 1 divided by 2 end exponent    
  3. open square brackets fraction numerator 7 gamma R T over denominator 3 M end fraction close square brackets to the power of 1 divided by 2 end exponent    
  4. open square brackets fraction numerator gamma R T over denominator 2 M end fraction close square brackets to the power of 1 divided by 2 end exponent    

The correct answer is: open square brackets fraction numerator 6 gamma R T over denominator 7 M end fraction close square brackets to the power of 1 divided by 2 end exponent

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