snowy

Thanks Genius for your response!

I tried your advice but one can separate the t and x term only if they had the same amplitude, but here even the amplitude is different!

By differentiating

dy/dx=0

d2y/dx2 >0 for min

<0 for max

PS. I have a restriction of only 2 more posts , so ill keep editing this post to reply.

Thanks Klaynos, for your response!

I tried a rough sketch , because from the equations , it can be inferred that T1=2T2

And the resultant amplitude will be max when y2 = 4 , but I'm not sure about y1.

Yes! I am aware of beat frequency, it is when 2 waves of nearly equal frequency are superimposed, and the value of it is the difference in frequencies!

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)

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.

I also tried plotting it , but I am unable to figure out the value of y1 when y2=4

so how do I proceed ? Thanks in advance!