What Are the Implications of Superposition of Two Waves?

Septim
Messages
166
Reaction score
6
Greetings,

I have a question on superposition of two waves and I am pretty new to the topic. I am not contended with my solution and seek your evaluation. Any suggestion, comment is welcome.

Thanks in advance.

Homework Statement



Consider the superposition of two waves x1 = A1 cos(ω1t) and x2 =
A2 cos(ω2t + δ). If ω1\cong ω2,
(a) What is the beat frequency?
(b) What is the maximum amplitude?
(c) What is the minimum amplitude?



Homework Equations



Trigonometric identities for Product-to-sum and sum-to-product.



The Attempt at a Solution



Attached to the post in jpeg format.
 

Attachments

  • SWScan00001.jpg
    SWScan00001.jpg
    14.2 KB · Views: 450
Physics news on Phys.org
Your work is too hard to read. Writing too light.

Anyway, this is just high school trig, really.
 
Thread 'Need help understanding this figure on energy levels'

Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
View full post »
Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
View full post »

Similar threads

I Justification of Superposition of Waves with Different Speeds
Replies
19
Views
2K
Superposition of two one-dimensional harmonic waves
Replies
10
Views
2K
Solving Wave Superposition: Amplitude & Phase
Replies
3
Views
2K
Two wave superposition with different wavelength , amplitude and frequ
Replies
3
Views
2K
Expressing plane wave as superposition
Replies
3
Views
2K
Wave interference, "beats" problem
Replies
19
Views
1K
Average velocity of free particle
Replies
1
Views
1K
What is the output of two cosine functions?
Replies
8
Views
2K
Superposition of Two Waves on a String: Amplitude and Wavelength Calculation
Replies
1
Views
1K
Find the Maximum of Superposition of Waves
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top