Nodes in the resulting standing wave

Click For Summary
SUMMARY

The discussion focuses on calculating the spacing between successive nodes in a standing wave created by microwaves with a frequency of 1010 Hz. The wavelength (λ) is determined using the formula λ = c/f, where c is the speed of light (approximately 3 x 108 m/s). The spacing between nodes is established as λ/2, leading to a definitive conclusion that the distance between nodes is half the wavelength of the microwaves.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with the speed of light (c)
  • Knowledge of frequency and wavelength relationships
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the wavelength of microwaves using the formula λ = c/f
  • Explore the concept of standing waves in different mediums
  • Investigate the effects of varying frequency on node spacing
  • Learn about the applications of standing waves in microwave technology
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators and anyone interested in the practical applications of standing waves in technology.

kingyof2thejring
Messages
82
Reaction score
0

Homework Statement


Microwaves of frequency 10^10 Hz are beamed directly at a metal
reflector. Neglecting the refractive index of air, determine the spacing
between successive nodes in the resulting standing wave.

Homework Equations



The Attempt at a Solution


dont know what to do here
 
Physics news on Phys.org
disturbance is zero at nodes for x=0, lambda/2, 3/2*lambda...
so lambda=c/f
and the the spacing is lambda/2 at the nodes
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 5 ·
Replies
5
Views
6K