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Two waves that destructively interfere, resulting in a net amplitude of zero, are how many degrees out of phase?
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- Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)We have two waves -2.79 sin(k x - v t) and 1.5 cos(k x - v t) which add together to make a new combined wave A sin(k x - v t+θ). What is the value of θ in radians?Two waves of the same frequency have amplitudes 0.838 and 2.60. They interfere at a point where their phase difference is 75.0°. What is the resultant amplitude? Number Units
- b) Two progressive waves y:(x,t) =Asin(2rAXwt) and y2(xt) =Asin(2raX-wt-n2) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take the values as a=5cm, A=4m and w=31.4Hz.Mjc5NTA2NTk3NjEz (b) 0.8 sec; 14 m/s (c) 0.4 sec; 7 m/s (d)0.8 sec; 3.5 m/s 4) Two identical sinusoidal waves travel in the same direction at the same speed with an amplitude A. The phase difference between the two waves is o = 69.8°. The amplitude of the resultant wave, Aresultant» is increased with respect to the amplitude of the individual waves, A, by: (a) 18% (b) 64% (c) 82% (d) 164% 5) Two identical sinusoidal waves with frequency of 20 Hz travel in the same đirection at the same speen The two waves originate from the same point but with a time difference At. The amplitude of th AV3. The minimum possible time difference between the starting moments resultant wave is Ares the two waves is, At =: (a) 1/120 sec (b)0477 sec (c) 1/80 sec (d)0.716 sec rleueths of 2.5 m travel in the same direction with the Ih difference. Wave-1 traTwo progressive waves y1=Asin((2π/λ)x−ωt) and y2=Asin((2π/λ)x−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=5cm, λ=8.8 m and ω=20.2 rad/s (radian per second). Give your answer in SI units.
- Two waves of amplitudes 3.6 m and 4.2 m, angular frequencies 942 rad/s, propagation constants 1.57 rad/m having phase difference 180 degree interfere with each other. The wavelength of each wave is O a. 0.8 m O b. 10 m O C. 4 m O d. 2 mThe figure shows circular wave fronts emitted by two wave sources. If the inherent phase $2,0 of source 2 is changed $2,0→ 2.0+л, the points P, Q, R will exhibit _,_, _ interference, where C stands for constructive and D for destructive C, C, D D, C, C D, C, D O C, D, D D, C, C P R 2-Given the two sinusoidal waveforms, f(t) = -50coswt – 30sinwt and g(t) = 55coswt - 15sinwt. %3D Find the phase angle by which f(t) leads g(t) ANSWER f(t) leads g(t) by Blank 1
- Chapter 35, Problem 029 Two waves of the same frequency have amplitudes 0.843 and 2.41. They interfere at a point where their phase difference is 79.0°. What is the resultant amplitude? Number Units Use correct number of significant digits; the tolerance is +/-2%问题1 What is a standing wave? O Two waves combining to alternate amplitudes O A wave that quickly comes and goes O Two waves with complete destructive interference 问题2If the frequency of a traveling wave train is increased by a factor of three in a medium where the speed is constant, which of the following is the result? O amplitude is one third as long O wavelength is one third as long O amplitude is tripled O wavelength is tripled
