Can Secret Agent Jane Pond Retrieve the Plans at the Bottom of the Well?

AI Thread Summary
Secret Agent Jane Pond is tasked with retrieving secret plans from an unknown depth well, using a 10m rope and a frequency-generating device, the VPG-C1C7. She identifies two loud frequencies, 62.5 Hz and 87.5 Hz, which indicate the presence of standing waves. The discussion revolves around understanding the physics of wave interference, specifically constructive and destructive interference, to determine if her rope is long enough to reach the plans. Participants suggest that the problem relates to the behavior of sound waves in a long organ pipe rather than just music. The conversation emphasizes the need for a deeper understanding of wave mechanics to solve the problem effectively.
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Homework Statement


Secret Agent Jane Pond must retrieve the secret plans of her arch-nemesis EvilToes. These plans were tossed (by one of EvilToes’ bumbling henchmen) down a well of unknown depth. Jane is carrying a rope 10m long and a “standard issue VPG-C1C7”. (The VPG-C1C7 is a device that will generate a pitch of the set frequency, allowing the user to vary that frequency continuously over six octaves.) When Jane holds the VPG-C1C7 over the hole and steadily increases the frequency of the emitted sound, she finds certain frequencies which sound much louder than others. Two successive (but not necessarily the lowest two) such “loud” frequencies are 62.5 Hz and 87.5 Hz. Is Jane’s rope long enough to reach the bottom of the hole?


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The Attempt at a Solution


I am still trying to identify where to begin for this situation...I believe that I am dealing with superposition of waves as well destructive and constructive interference. Could anyone just point me in the right direction as to where I should begin this problem! thanks pf!
 
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Hi Sastronaut! :smile:
Sastronaut said:
...I believe that I am dealing with superposition of waves as well destructive and constructive interference.

Nah, it's just music …

it's a very long organ pipe, and those are two standing waves. :wink:​
 
Hello tiny-tim!
how so?? could you explain further!
 
great video thank you so much for your help! :)
 

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