Chapter 18541Section 18.6Standing Waves in Rod and PlatesP18.49(a)fvL===251002160159afaf.. kHz(b)Since it is held in the center, there must be a node in the center as well as antinodes at theends. The even harmonics have an antinode at the center so only the odd harmonics arepresent.(c)fvL=′235600111afaf.kHzP18.50When the rod is clamped at one-quarter of its length, the vibration pattern reads ANANA and therod length is Ld2AAλ.Therefore, Lvf=4400116msHzm.Section 18.7Beats: Interference in TimeP18.51fv T∝∝fnewHz110540600104 4.∆f=564beatssP18.52(a)The string could be tuned to either 521 Hz or 525 Hz from this evidence.(b)Tightening the string raises the wave speed and frequency. If the frequency were originally
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