Sinusoidal Waves: Why Is Textbook Answer 1.5ym?

  • Thread starter Thread starter Nyasha
  • Start date Start date
  • Tags Tags
    Sinusoidal Waves
Click For Summary
SUMMARY

The discussion centers on the discrepancy between the textbook answer of 1.5 ym and the user's calculated value of 1.8 ym for sinusoidal waves. The user points out that the phase difference (φ2 - φ1) is incorrectly stated as 30 degrees in the solution. With φ1 set at 30 degrees and φ2 at 80 degrees, the correct phase difference is 50 degrees, which affects the resulting calculations for wave amplitude. This highlights the importance of accurately determining phase differences in sinusoidal wave problems.

PREREQUISITES
  • Understanding of sinusoidal wave properties
  • Knowledge of phase angles and their calculations
  • Familiarity with wave amplitude concepts
  • Basic trigonometry for angle manipulation
NEXT STEPS
  • Review the principles of sinusoidal wave interference
  • Study phase difference calculations in wave mechanics
  • Explore the impact of amplitude variations on wave behavior
  • Learn about graphical representations of sinusoidal functions
USEFUL FOR

Students studying physics, particularly in wave mechanics, educators teaching sinusoidal functions, and anyone interested in resolving discrepancies in wave calculations.

Nyasha
Messages
127
Reaction score
0
The question and attempt to solution is on the attached image. I don't understand why the answer in the textbook is 1.5ym mine is 1.8 ym
 

Attachments

  • Capture.JPG
    Capture.JPG
    61.5 KB · Views: 450
Physics news on Phys.org
If φ1 = 30o and φ2 = 80o, then φ2 - φ1 is not 30o as you claim in your solution.
 

Similar threads

  • · Replies 17 ·
Replies
17
Views
2K
Replies
9
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
6
Views
1K
Replies
2
Views
1K
Replies
6
Views
996
Replies
5
Views
903
  • · Replies 9 ·
Replies
9
Views
707
  • · Replies 4 ·
Replies
4
Views
5K