Chapter 18541Section 18.6Standing Waves in Rod and PlatesP18.49(a)fvL===25 10021 601 59a faf..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 harmonicsarepresent.(c)fvL=′==23 56021 601 11a faf..kHzP18.50When the rod is clamped at one-quarter of its length, the vibration pattern reads ANANA and therod length is Ld==2AAλ.Therefore, Lvf===5 1004 4001 16m sHzm.Section 18.7Beats: Interference in TimeP18.51fvT∝∝fnewHz==110540600104 4.∆f=5 64.beats sP18.52(a)The string could be tuned to either 521 Hz or 525 Hzfrom this evidence.
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