MHT CET Physics question

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The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, produce three beats. The length of open pipe is made rd and closed pipe is made three times the original, the number of beats produced will be [MHTCET 2017]

Answer: (C)

Solution

Taking the modes as the fundamental modes, so ; after the change the open pipe gives

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Question ID VK-070377