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

ID: 1746577 • Letter: A

Question

A 1.35-m-tall vertical tube is filled with20°C. water. A tuning fork vibrating at 600 Hz isheld just over the top of the tube as the water is slowly drainedfrom the bottom. At what water height, measured from the bottom ofthe tube, will there be a first standing wave in the tube above thewater?
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At what water height, measured from the bottom of thetube, will there be a second standing wave in the tube above thewater?
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At what water third standing wave in the tube above thewater?
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Explanation / Answer

A 1.35-m-tall vertical tube is filled with20°C. water. A tuning fork vibrating at 600 Hz isheld just over the top of the tube as the water is slowly drainedfrom the bottom. At what water height, measured from the bottom ofthe tube, will there be a first standing wave in the tube above thewater? speed of sound=330+20*.6=342m/sec n=600Hz =v/n=342/600=0.57m for first standing wave the length of air column should be/4=0.57/4=0.1425m hence water height measured from the bottom of thetube, will there be a first standing wave in the tube above thewater? =1.35-0.1425=1.2075m Tries 0/3 At what water height, measured from the bottom of thetube, will there be a second standing wave in the tube above thewater? length of the second standing wave=3/4=3*0.1425m=0.4275m hence water height, measured from the bottom of thetube, will there be a second standing wave in the tube above thewater=1.35-0.4275=0.9225m Tries 0/3 At what water third standing wave in the tube above thewater? length of the third standingwave=5/4=5*0.1425m=0.7125m hence water height, measured from the bottom of thetube, will there be a second standing wave in the tube above thewater=1.35-0.7125=0.6375m Tries 0/3