Answer to Question #117801 in Mechanics | Relativity for Hadi ezzeddine

Question #117801
Which of the following wave functions represents the resultant wave due to the interference between the two waves:
y_result (x,t) = 4 sin⁡(2πx ‒ 20πt + φ)
y_result (x,t) = 2 sin⁡(πx ‒ 10πt + φ/2)
y_result (x,t) = 4 cos⁡(φ/2) cos⁡(πx ‒ 10πt - φ/2)
y_result (x,t) = 4 cos⁡(φ/2) sin⁡(2πx ‒ 20πt + φ/2)
y_result (x,t) = 2 sin⁡(φ/2) sin⁡(2πx ‒ 20πt + φ/2)
Other:
1
Expert's answer
2020-05-25T10:47:42-0400

"y1(x,t)=Asin(kx\u2212\u03c9t+\u03c6)\\\\,y2(x,t)=Asin(kx\u2212\u03c9t)."

resultant will be :

"2Asin(kx\u2212\u03c9t+\\frac\u03c62)cos(\\frac\u03c62)."


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