The discussion revolves around the beat frequency of two waves with different wavelengths, specifically λ1 = 1.5μm and λ2 = 1.63μm, expressed in the form of a combined wave equation. Participants are tasked with finding the beat frequency resulting from these waves in free space.
The conversation is ongoing, with participants exploring different interpretations of the problem and questioning the assumptions regarding wave speed and type. Some guidance has been offered regarding the relationship between wavelength and frequency, but no consensus has been reached on the best approach to take.
Participants note that the assignment may contain vague or misleading elements, which adds to the complexity of understanding the problem. There is also a mention of previous experiences with plotting data, which some find challenging.
nmsurobert said:I am quite stuck on this problem. Can I get a numerical solution for question with what I've been given?
Yes, you need to determine the beat frequency which is half the difference of frequencies of the constituent waves. You are given the wavelengths. What are the frequencies?nmsurobert said:Homework Statement
Two waves of different wavelengths λ1= 1.5μm, λ2 = 1.63μm, are combined in free space Et = 1.5cos(k1x - ω1t) + 2cos(k2x -ω2t)
Find the beat frequency
Homework Equations
(ω1- ω2) = 2ωm=beat frequency
I don't know what kind of waves they are. I wrote the question as it is on the paper. I've been trying to figure out a way to find the frequency but I feel like I'm missing something.ehild said:Yes, you need to determine the beat frequency which is half the difference of frequencies of the constituent waves. You are given the wavelengths. What are the frequencies?
What kind of waves they are?
Asking me to plot something isn't going to help haha he's been asking us to plot stuff all semester and I haven't been able to figure out how to plot any of this stuff.drvrm said:first you must superpose the two waves and see the waxing and waning of sound intensities and count its frequency per second.
that can be simply done on a plot of amplitude with time graph.
your amplitudes are different -so the destructive interference will not necessarily produce a zero intensity but the envelope of intensity and its maximum and minimum values will give you beat frequency.
so proceed ahead.
How do you get the frequency from the wavelength of the wave?nmsurobert said:I don't know what kind of waves they are. I wrote the question as it is on the paper. I've been trying to figure out a way to find the frequency but I feel like I'm missing something.
The only way I've found how to do this is v = fλ. However, I don't know what the velocity of the way is unless I assume the velocity is c.ehild said:How do you get the frequency from the wavelength of the wave?
Yes, the speed of the wave is crucial. it is said, the wave travels in free space. What do you think free space means? Was the original text English?nmsurobert said:The only way I've found how to do this is v = fλ. However, I don't know what the velocity of the way is unless I assume the velocity is c.