MHT CET Physics question

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A closed organ pipe of length '' and open organ pipe of length '' contain diatomic gases of densities '' and '' respectively. The compressibilities of the gases are the same in both the pipes, which are vibrating in the first overtone with the same frequency. The length of the open organ pipe is [MHT-CET 2020]

Answer: (B)

Solution

Speed (same compressibility), so ; closed pipe first overtone equals open pipe first overtone , giving

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Question ID VK-070581