Two Traveling Sinusoidal Waves Interfere to Produce a Wave with the Mathematical

question 7

Multiple Choice

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form If the value of $\phi$ is appropriately chosen, the two waves might be:

• A)y₁(x,t)= (y_m/3)sin (kx + \( \omega \)t)and y₂(x,t)= (y_m/3)sin (kx + \( \omega \)t + \(\phi\))
• B)y₁(x,t)= 0.7y_m sin (kx - \( \omega \)t)and y₂(x,t)= 0.7y_m sin (kx - \( \omega \)t + \(\phi\))
• C)y₁(x,t)= 0.7y_m sin (kx - \( \omega \)t)and y₂(x,t)= 0.7y_m sin (kx + \( \omega \)t + \(\phi\))
• D)y₁(x,t)= 0.7y_m sin [(kx/2)- ( \( \omega \)t/2)] and y₂(x,t)= 0.7y_m sin [(kx/2)- ( \( \omega \)t/2)+ \(\phi\)]
• E)y₁(x,t)= 0.7y_m sin (kx + \( \omega \)t)and y₂(x,t)= 0.7y_m sin (kx + \( \omega \)t + \(\phi\))

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