Find maxima angle of two interfering waves

In summary, the conversation discusses a diagram and a question about the double slit experiment. The answer includes a clarification about the angle θ and its relation to the line joining the sources. There is also a mention of a circular interference fringe pattern on the screen.
  • #1
joelkato1605
19
2
Homework Statement
See attached file. (m=0,2,4,6,...)
Relevant Equations
dsin(theta)=m(lambda)
I drew a diagram in the attached files as well, but the the scenario seems to be the same as the double slit experiment, but I don't understand why the answer contains cos instead of sin.
 

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  • #2
Where are the sources in you sketches ?
And the line joining the sources ?
If the screen is normal to the line joining the sources, where is the screen ?
 
  • #3
joelkato1605 said:
... I don't understand why the answer contains cos instead of sin.
Read the original question carefully. You should see that θ is the angle with respect to the line joining the sources, so the angle you've marked as θ is in fact 90º – θ.

(It's more conventional to define θ in the way you interpreted it, but they've done it differently in this question.)
 
  • #4
Steve4Physics said:
Read the original question carefully. You should see that θ is the angle with respect to the line joining the sources, so the angle you've marked as θ is in fact 90º – θ.

(It's more conventional to define θ in the way you interpreted it, but they've done it differently in this question.)
Oh! Thanks so much I completely missed that.
 
  • #5
And did you find a
circular interference fringe pattern
on this screen ? Can you make that explicit ?
 

1. What is the concept of "Find maxima angle of two interfering waves"?

The concept of "Find maxima angle of two interfering waves" refers to the study of the interference pattern created when two waves with different amplitudes and wavelengths intersect. The maxima angle is the angle at which the two waves constructively interfere, resulting in a peak in the combined wave's amplitude.

2. How is the maxima angle of two interfering waves calculated?

The maxima angle of two interfering waves can be calculated using the formula θ = sin^-1 (mλ/d), where θ is the maxima angle, m is the order of the interference pattern, λ is the wavelength of the waves, and d is the distance between the sources of the waves.

3. What factors affect the maxima angle of two interfering waves?

The maxima angle of two interfering waves is affected by the wavelength and amplitude of the waves, as well as the distance between the sources of the waves. Additionally, the medium through which the waves travel can also impact the maxima angle.

4. How is the concept of "Find maxima angle of two interfering waves" applied in real-life situations?

The concept of "Find maxima angle of two interfering waves" is applied in various fields such as optics, acoustics, and radio frequency engineering. It is used to study and manipulate interference patterns in order to enhance or cancel out certain frequencies in signals. This has practical applications in technologies such as antennas, lasers, and sound systems.

5. What is the significance of understanding the maxima angle of two interfering waves?

Understanding the maxima angle of two interfering waves allows scientists and engineers to control and manipulate wave interference patterns for practical applications. It also provides insights into the behavior of waves and their interactions, leading to advancements in various fields of science and technology.

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