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A closed organ pipe of length L and an open organ pipe contain gases of densities n subscript 1  and n subscript 2 respectively  The compressibility of gases are equal in both the pipes  Both the pipes are vibrating in their first overtone with same frequency  What is the length of the open organ pipe?

  1. fraction numerator 4 L over denominator 3 end fraction square root of p subscript 1 over p subscript 2 end root
  2. L over 3
  3. fraction numerator 4 L over denominator 3 end fraction square root of p subscript 2 over p subscript 1 end root
  4. fraction numerator 4 L over denominator 3 end fraction

The correct answer is: fraction numerator 4 L over denominator 3 end fraction square root of p subscript 2 over p subscript 1 end root

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