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An open pipe resonates to a frequency f1 and a closed pipe resonates to a frequency f2. If they are joined together to form a longer tube, then it will resonate to a frequency of (neglect end corrections)

  1. fraction numerator f subscript 1 end subscript f subscript 2 end subscript over denominator 2 f subscript 2 end subscript plus f subscript 1 end subscript end fraction    
  2. fraction numerator f subscript 1 end subscript f subscript 2 end subscript over denominator f subscript 2 end subscript plus 2 f subscript 1 end subscript end fraction    
  3. fraction numerator 2 f subscript 1 end subscript f subscript 2 end subscript over denominator f subscript 2 end subscript plus f subscript 1 end subscript end fraction    
  4. fraction numerator f subscript 1 end subscript plus 2 f subscript 2 end subscript over denominator f subscript 1 end subscript f subscript 2 end subscript end fraction    

The correct answer is: fraction numerator f subscript 1 end subscript f subscript 2 end subscript over denominator 2 f subscript 2 end subscript plus f subscript 1 end subscript end fraction

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