Two waves travel simultaneously through the same medium. The first wave is described by: Y1(x,t)=(3.00 cm ) cos [kx-wt] and the second wave by Y2(x,t)=(3.00 cm)sin(kx-wt) i) Determine the amplitude of the resulting wave, And interpret the resulting wave in terms of constructive and distructing interference.

a) Show that H = Hoei(wt-kz)az Is a solution to the vector wave equation: 1 a²Ĥ = 0 c2 at2 v2 Η +

Two progressive waves y1=Asin(2πλx−ωt)y1=Asin⁡(2πλx−ωt) and y2=Asin(2πλx−ωt−π2)y2=Asin⁡(2πλx−ωt−π2) travel in the same direction. Calculate the velocity of the wave produced as a result of interference of these two waves. Take A=5A=5 cm, λ=λ=6.9 m and ω=ω=12.3 rad/s (radian per second). Give your answer in SI units.

An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove Questi

Two progressive waves ?1(?,?)=?sin(2???−??)y1(x,t)=Asin⁡(2πλx−ωt) and ?2(?,?)=?sin(2???−??−?2)y2(x,t)=Asin⁡(2πλx−ωt−π2) travel in the same direction. Calculate the speed of the wave produced as a result of interference of these two waves. Take ?=5A=5 cm, ?=4λ=4 m and ?=31.4ω=31.4 Hz. Provide your answer in SI units.

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