Resultant amplitude for waves of different frequencies?

AI Thread Summary
The discussion focuses on calculating the resultant amplitude for two superimposing waves with different frequencies. The equations provided describe the waves, with the first wave having an amplitude of 2 and the second an amplitude of 4. It is noted that the standard formulas for maximum and minimum amplitude apply only to waves of the same frequency, prompting a query on how to proceed with different frequencies. To find the net amplitude at a fixed point, one must consider the phase relationship between the waves at that point. The final goal is to determine the ratio of maximum to minimum intensity, which is given as 25:9.
mintkints
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Homework Statement



Two superimposing waves are represented by equations
y1= 2sin 2π(10t – 0.4x)

y2= 4sin 2π(20t – 0.8x)

Find the ratio of Imax and Imin. Ans is (25:9)

Homework Equations

The Attempt at a Solution


I know that intensity is proportional to the square of amplitude and

maximum amplitude = a1 + a2

minimum amplitude = a1 - a2

but these equations are only applicable for waves with same frequency. so how do I proceed ? Thanks in advance!
 
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mintkints said:
how do I proceed ?
Consider some fixed point x along the wave. How would you find the net amplitude at that point?
 

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