Wavelength of the wave which is produced at the wire

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SUMMARY

The discussion focuses on determining the wavelength of a wave produced in a metal wire stretched between two supports, with specific attention to the behavior of small pieces of paper placed at designated points. The wire vibrates at a frequency where points P, R, and T are identified as nodes, while Q and S are antinodes. The length between successive nodes or antinodes is established as λ/2, leading to the conclusion that the wavelength (λ) can be calculated based on the distance between these points.

PREREQUISITES
  • Understanding of wave mechanics, specifically standing waves
  • Familiarity with nodes and antinodes in wave patterns
  • Knowledge of basic physics equations related to wavelength
  • Ability to interpret diagrams related to wave behavior
NEXT STEPS
  • Calculate the wavelength using the formula λ = 2 * distance between nodes
  • Explore the concept of standing waves in different mediums
  • Investigate the effects of tension and frequency on wave properties
  • Learn about resonance and its relationship to standing waves
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Students studying physics, particularly those focusing on wave mechanics, as well as educators looking for examples of standing wave phenomena in practical applications.

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Homework Statement



The diagram attached shows a metal wire stretched between two supports P and T which are 4x apart where PQ=QR=RS=ST=x . Three small pieces of paper are placed at positions Q , R and S . When the wire is vibrated at a certain frequency , the small piece of paper at R remains on the wire but the small pieces of paper at Q and S drop off . What is the wavelength of the wave which is produced at the wire .

Homework Equations





The Attempt at a Solution



what can i infer if that paper doesn't drop , does it have anything to do with the nodes and antinodes of the standing wave ?
 
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P, R and T are nodes. Q and S are antipodes.
Length between the two successive nodes or antinodes is equal to λ/2.
 


rl.bhat said:
P, R and T are nodes. Q and S are antipodes.
Length between the two successive nodes or antinodes is equal to λ/2.

thanks !
 

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