WE-1 For each function shown below, verify that it is a valid solution to the 1D wave equation. a) D(x, t) = Aln(x + vt) b) D(x, t) = A(x - vt)4 c) D(x, t) = Asin(kx - @t)
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- Consider a wave described by the wave function y (x,t)%3D0.65m sin 6T m x+ 8TC st+), find the -1 -1 TC 3 frequency of wave? a. 1.33 Hz O b. 2.22 Hz O C. 1.67 Hz O d. 0.75 Hz Next page File Upload - Quiz - 1- -SCL Activity-Section Ir. Maroof) Jump to..The figure shows the circular wave fronts emitted by two sources, the wavelength for both idential waves is 1.4 m. What is the path-length difference at point Q, in meters? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Write down w*w, for the following wave functions: a. W(x) = ekx b. W(x) = eAx с. Ф(x) %3D а + іx d. W(x) = cos(2TX)
- Not 12030987@students.liu.edu.lb? Switch account 15 MCQS A student wants to establish a standing wave on a wire 2 m long clamped at both ends. If the wave speed is 72 m/s, what is the minimum frequency she should apply to set up standing waves? 18 Hz. O 15 Hz O 24 Hz O 12 Hz 20 HzJo and Em are both standing different distances from a speaker that is outputting 4. sound uniformly in all directions. Jo is hearing a sound intensity level of 35.0dB. Em is hearing a sound intensity level of 62.0dB. a. What are the intensities heard by Jo and Em? [Recall that there is a difference in meaning between "sound intensity level" and "intensity".] b. If Jo is 150m from the speaker, how far is Em from the speaker? c. If Em's eardrum is 1.20x10 m? , how much sound energy hits Em's eardrum in 20.0s ?A uniform plane wave is traveling in the positive z-direction. Determine thepolarization (linear, circular, or elliptical) for each Amplitude and Phaseinformation of two orthogonal components. In all cases, justify the answer.(Hint: Conditions of Achieving Different Polarization)I. Ex = Ey, φy − φx = 0II. Ex ≠ Ey, φy − φx = 0III. Ex = Ey, φy − φx= π/2IV. Ex = 0.5Ey, φy − φx = π/2
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- Find the Fourier series of the following periodic waveforms. List the values for A1 to A4, and B1 to B4. f(t) พ.ศ. T/2 T f(t) 2 0 T/2 T Note: for number 1 problem, use the half-wave rectified signal Vm sin wtObtain the sign y (t) = x (t) * x (t) * x (t) for x (t) = u (t - 2) --u (t + 2) and plot both signals. What is the relationship between the time bands of the x (t) and y (t) signals? Explain.Question 1. Solve the following IVPS for the 2D wave on the rectangle 0, 1] x [0, 1] (where we assume that the solution u is always zero on the boundary): 1. Utt Δυ = –10 sin(37x) sin(7y) Ut(r, Y, 0) = sin(r 2) sin(ry) u(x, y, 0) 2. (for this one, you can use a computer algebra software to compute the integrals) Utt = Δυ u(r, y, 0) = x(x – 1)°y(y – 1)* uz(r, y,0) - = sin(Tx) sin(TY)