. AB is a cylinder of length 1 m fitted with a thin flexible diaphragm C at the middle and other thin flexible diaphragms A and B at the ends. The portions AC and .BC contain hydrogen and oxygen gases respectively. The diaphragms’ A and B are set into vibrations of same frequency. What is the minimum frequency of these vibrations for which diaphragm C is a node? (Under the conditions of experiment![src=data:image/png;base64,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]()











