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The frequency of a source  is 200 Hz means that it vibrates 200 times in 1 second.
So, in 60 seconds, it will vibrate = 200*60 = 12000 times
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According to the question we can know that the source vibrates 200 times in 1 second.Therofore the vibrations of source in 60 seconds=60*200=120000 times.