Destructive Interference with a Pebble

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SUMMARY

The discussion focuses on the conditions necessary for achieving destructive interference when dropping a second pebble in a lake that produces ripples at a frequency of 0.25 Hz. The relevant equations mentioned include wave velocity equations, specifically v = fλ and v = λ/t. Participants explore the concept of wave addition and the timing required for the second pebble to ensure that the waves cancel each other out, leading to destructive interference. The conversation highlights the importance of understanding wave properties and timing in wave interactions.

PREREQUISITES
  • Understanding of wave frequency and wavelength
  • Familiarity with the equations of wave motion (v = fλ, v = λ/t)
  • Basic knowledge of interference patterns in wave physics
  • Concept of phase difference in wave interactions
NEXT STEPS
  • Research the concept of phase difference in wave mechanics
  • Learn about constructive and destructive interference in detail
  • Explore practical applications of wave interference in physics experiments
  • Study the effects of varying frequency and amplitude on wave interactions
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding wave interference phenomena.

luvinlife
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Homework Statement



A pebble is dropped in a lake; and it produces ripples with a frequency of .25 Hz. When should a second pebble be dropped at the same place to produce destructive interference

Homework Equations


I'm not even sure if these apply, but they are the only formulas I know.

v=f[tex]\lambda[/tex] or v=[tex]\lambda[/tex]/t

The Attempt at a Solution



I have no idea how to solve this problem
 
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What will the second pebble's wave look like? How do these two waves "add up"?

In what way do you want them to "add up" in order to get destructive interference
 
I get it!
wow.. definitely over thought that one.
Thank you for the thought provoking questions.
 

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