Given that the wave yn = sin (2x - 50t) is superposed with the wave ym = sin (2x + 50t). Define: a) the equation for the deviation of the interference results b) The amplitude of the resultant wave.

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A: The equation of wave on the string is given by  the function  y1(x,t)=6 cos(50t-20x)(cm)

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A: The time for a particle on a medium to make one complete vibrational cycle is the period.

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A: To write-Equation of wave-Given-Amplitude (a)=3mm=3×10-3 mPeriod (T)=2 secWavelength (λ)=1 m

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A: It is known that,  y=sin ωt⇒y=sin 2πTt⇒y=sin 2πft Therefore, ω=2πf.

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Q: please solve for b

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A: Numbered the above wave functions as a), b), c), and d).

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Q: Part A In a certain home sound system, two small speakers are located so that one is 40.0 cm closer…

A: path difference between the two speakers (∆d) = 40 cm = 0.4 m speed of sound = 343 ms

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).