Q1) A- Two signals x1(t) and x2(t) having Fourier transforms X1(f) and X2(f)shown in figure (1) are combined to form 10-4 10-4 Xa(f)
Q: Q2: the modulating signal was transmitted with amplitude of A volts and modulating frequency of 1400…
A: From the concept of amplitude modulation, we know that If the modulating signal is given as: m(t) =…
Q: Q3: A- A: a laser resonator contains a convex mirror with radius 110 cm and another one is concave…
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Q: If f(x) = |sinx| in (-1,1) is expressed as Fourier series, then the coefficient of sin5x is -1) 5…
A: Given f(x) = |sinx| f(x) = |sinx| = sinx f(-x) = |sin(-x)| = sinx Hence f(x) = f(-x) ∴|sinx| is even…
Q: 1 - Find the Fourier transform of
A: Here we have to use a basic formula.
Q: r(t) - u(t) - u(t - 2A) v(t) - E Ar(t - k10A) iere 0< A< +oo is a real constant.
A: Given: x(t)=u(t)-4(t-2A)y(t)=∑k=-∞∞Ax(t-k10A)
Q: When looking at real-valued time domain signals they must have : A Fourier transform in the ordinary…
A: In this question we have to understand about - When looking at real-valued time domain signals they…
Q: 4) A fuzzy modulated signal looks like this: u(t) = 100cos[2nfct + 4 sin 2000nt] Which is in fe =…
A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…
Q: (c) In a powder x-ray diffraction experiment of MgO and NaCl using x-rays of wavelength 0.154 nm the…
A: Hence the answer..
Q: 4. The Frequency difference between the successive maxima in a Fabry Perot cavity length 1 m is O…
A: GivenThe length of perot cavity (L)=1mspeed of light in vacuum(c)=3×108 m/swe know that The…
Q: Show that the Fourier series for f(x) in the interval − < x < π is: -
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Q: 4) By using the Fourier transform method Fourier Series solve the PDES ou t
A: Solution:e -iωx e -k ω2t will solve the heat equation ut=k uxx sou(x, t) = ∫-∞∞c(ω)e -iωx e -k ω2t…
Q: For a He-Ne laser with a wavelength of 632.8 nm, if the length of the resonator is 60 cm, find…
A: Givenwavelength of laser λ=632.8 nmλ=632.8*10-9 mlength of the resonator is 60 cmL=60 cmL=0.6…
Q: 3- A radio wave has a frequency 200GHz¹ has a velocity equals the light speed c = 3x10 m/s Find the…
A: Given data, A radio wave has, f=200 GHz,c=3×108 m/s.
Q: d) Write about Michelson interferometer and calculate the wave length of monochromatic light using…
A: The best illustration of an amplitude-splitting interferometer is the Michelson interferometer.…
Q: Question 3 An oblique shock wave has the following data M = 3.0, P = 1 atm, T=288 K, 1=1.4, 0= 20°…
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Q: Which of the following discrete functions describes the plot below? 1.00 0.75 0.50 0.25 0.00 -0.25…
A: Given a graph which consists set of points. we have to find out which of the given equations best…
Q: The following Bode plot was derived from a system whose input is r(t) and output y(t). What is the…
A: 6 Given;
Q: Problem 7. What are the two-dimensional images whose Fourier transforms are shown? (a) ky (b) (c) Ky…
A: Fourier Transform is a mathematical tool that helps to transform the signals between two different…
Q: SOME COLORS AND THEIR APPROXIMATE WAVELENGTH, FREQUENCY AND ENERGY RANGES ARE GIVEN IN THE TABLE…
A: In this question we have to interpret the given table. Please give positive feedback if the answer…
Q: 1. To eliminate reflections of normally incident plane waves, a dielectric slab of thickness d and…
A: Given, εr1=1 and εr3=16 f=3 According to quarter wave transformation technique, the thickness is…
Q: Q4) Show that the group dispersion parameter, d'Bldo², for a given mode in a parallel-plate or…
A: Write the first derivative equation as follow. dωdβ=cn1-ωcω2 Take inverse of above equation.…
Q: Calculate the Fourier transform of the following signal f(t) = {/ -T/2 <t < T/2 otherwise
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Q: ,6. Let h be a given number in the interval (0, T). Find the Fourier cosine series of the function…
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Q: Which of the arrows in the picture A, B, y(m) 2.5 1.5 0.5 -0.5 x(m) -1.5 AV -2.5 A None of the above…
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Q: Using the condition of calibration of a vector potential V.A = 0 and the Maxwell's equation x = Ho],…
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Q: Sketch appropriate wave patterns for I. y1 (X, t) = Asin(3x-6t) 2. y2 (X, t) = Asin(4x - 8t)…
A: The given waves are both functions of x and t. So we will try to sketch the x dependence at…
Q: Q2: the modulating signal was transmitted with amplitude of A volts and modulating frequency of 1400…
A: In the given question, first of all, we just list down the given terms here in tabular format ,…
Q: (i) Explain whether the light from a powerful lase or from an ordinary incandescent light source…
A: Given: i) The light from a powerful laser or from an ordinary incandescent light source. ii) The two…
Q: 5) Compute the Fourier series representation of the periodic function ={+1 +1 when 0 < x < λ/2 -1…
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Q: Determine the value of the phonon quasimomentum corresponding to the frequency o = 0.40max. The…
A: Denote the maximum frequency fmax corresponding to maximum angular frequency ωmax.
Q: 4. The mechanical system represented in the figure consists of a block with mass m = 40kg and a…
A: Concept used: Angular frequency can be calculated from given data.
Q: 3. For the waveform of current shown in Figure 26 (b) state why only a d.c. component and even…
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Q: Q4. Determine the Fourier transform of g(y) = e¯4y if y> 0 and g(y) = 0 if y < C
A: A Fourier transform is just a mathematical transformation of function which depends on space or time…
Q: Example 6: Find the half-range sine series for the function ar -ax -e f(x) = in (0, n). 516 %3D aR…
A: Here we have a question on Fourier series. What more interesting is its a half series. So let us do…
Q: b) Determine ex-dy sin (dx c). A 3D Fourier transform of f(r) is given as f(k) = 1 Determine f(r).…
A: To determine the inverse Fourier transform of sF(k) = 1/(√(2π))^3k^2, we can use the inverse Fourier…
Q: 3- Using a Michelson, we want to measure the expansion coefficient of a rod. If we place the rod in…
A: Given Data:The length of the rod is The expansion of length ( mirror movement ) The change in…
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