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Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing...

Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing a net wave y´(x, t) = (4.10 mm) sin(49.0x - 3.00t + 0.850 rad), with x in meters and t in seconds. What are (a) the wavelength λ of the two waves, (b) the phase difference between them, and (c) their amplitude ym?

I need b and c. and the answers ARE NOT 0.85 rad 0.0041 m. But I DO need the answer in rad for b and m for c

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Answer #1

▪︎ Given :

The equation for the interference of waves is

  

b) By comparing with the equation,

Therefore,  

  phase difference = 1.7 rad

c) Again by comparison, we have,

By substitution with , we have,

  

Solving for the wave amplitude,

  amplitude = 2.05 × 10-3 m

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