What is resonant frequency in a ultrasonic transducer?

It's the frequency at which it operates most efficiently. The transducers are designed to match the frequency need of the application. A transducer is generally designed to oscillate around a principal or central frequency. In benchtop ultrasonic cleaners the ultrasonic frequency commonly used are 20 to 50 Khz.
Lower frequency systems produce more intense cavitation but higher frequency systems have less dead zones because the cavitation bubbles are smaller and their distribution are improved. Higher frequency is required to remove smaller particles.

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