A 1.35-m-tall vertical tube is filled with20 ° C. water. A tuningfork vibrating

Question

A 1.35-m-tall vertical tube is filled with20°C. water. A tuningfork vibrating at 599 Hz is held just over the top of the tube asthe water is slowly drained from the bottom. At what water height,measured from the bottom of the tube, will there be a firststanding wave in the tube above the water? At what water height, measured from the bottom ofthe tube, will there be a second standing wave in the tube abovethe water? At what water third standing wave in the tubeabove the water? A 1.35-m-tall vertical tube is filled with20°C. water. A tuningfork vibrating at 599 Hz is held just over the top of the tube asthe water is slowly drained from the bottom. At what water height,measured from the bottom of the tube, will there be a firststanding wave in the tube above the water? At what water height, measured from the bottom ofthe tube, will there be a second standing wave in the tube abovethe water? At what water third standing wave in the tubeabove the water?

Explanation / Answer

The standing wave frequencies of an open - closed pipetube are                 f = mv / 4L The length that caused by mth standing wave mode tobe at 599 Hz is             L = mv / 4f                substitute values            v= 343 m/s at 20oC            m= 1 , 3 ,5 ....            f= 599 Hz ***             The height of the water h = 1.35 m -L *****                          h = 1.35m - (mv / 4f)            Here m = 3                       v= 343 m/s at 20oC                       f =599 Hz Substitute values                       f =599 Hz Substitute values

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