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General
Easy

Question

How long will it take sound waves to travel the distance l between the points A and B if the air temperature between them varies linearly from T1 to T2? The velocity of sound propagation in air is equal to v equals alpha square root of T, where α is constant

  1. t equals fraction numerator 2 l over denominator alpha open square brackets square root of T subscript 2 end subscript end root plus square root of T subscript 1 end subscript end root close square brackets end fraction    
  2. t equals fraction numerator 4 l over denominator alpha open square brackets square root of T subscript 1 end subscript end root plus square root of T subscript 2 end subscript end root close square brackets end fraction    
  3. t equals fraction numerator 4 l over denominator alpha open square brackets square root of T subscript 1 end subscript end root square root of T subscript 2 end subscript end root close square brackets end fraction    
  4. t equals fraction numerator 2 l over denominator alpha open square brackets square root of T subscript 1 end subscript plus T subscript 2 end subscript end root close square brackets end fraction    

The correct answer is: t equals fraction numerator 4 l over denominator alpha open square brackets square root of T subscript 1 end subscript end root square root of T subscript 2 end subscript end root close square brackets end fraction

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