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# sir in this question i didnt get the method of solution can u elaborate by another method please.. second thing in my note book the ans is 91 not 51... sorry if u mind but is the ans in my book is wrong..?

Khimraj
3007 Points
3 years ago
Amplitude of resultant wave
A = $\sqrt{{A_{1}}^{2}+{A_{2}}^{2} + 2A_{1}A_{2}cos\Theta }$
A2 = ${{A_{1}}^{2}+{A_{2}}^{2} + 2A_{1}A_{2}cos\Theta }$
and intensity (I $\propto$ Amplitude)2
So intensity of resultant wave
I = I1 +  I2 +$2\sqrt{I_{1}}\sqrt{I_{2}}cos\Theta$
Intensity will be maximum when $\Theta$ = 0.
So Imax = I + 4I + 2(I)(2I) = 9I.
Hope it clears. If you like anser then pleaqse approve it.