According to the principle of superposition, the waveresulting from the composition of waves D1, D2 andD3 (all transverse) and propagating in a string oflength L, fixed at both ends, will have the followingcharacteristics:D:(x,t) = A sen (kx – wt – 2n)|D2(x,t) = A cos (kx – wt – T/2)D3(X,t) = 2A sen (kx + wt + 4T)select the correct alternative:1. A stationary wave with four times the amplitude ofD12. A stationary wave with the same amplitude as D13. A stationary wave with twice the amplitude of D14. A wave with the same velocity and initial phase asD1, but with opposite propagation direction and halfits amplitude5. A wave with the same velocity and initial phase asD1, but with opposite propagation direction and fourtimes its amplitude6. A wave with the same propagation direction,velocity, and initial phase as D1, but with four timesits amplitude7. A wave with the same propagation direction,velocity, and initial phase as D1, but with twice theamplitude8. A wave with the same speed and initial phase asD1, but with opposite propagation direction andtwice the amplitude9. A wave with the same amplitude, velocity, andinitial phase as D1, but with opposite propagationdirection10. A wave with the same propagation direction,velocity, and initial phase as D1, but with half itsamplitude

Given D1 = A sen( kx -wt -2π) D2 = Acos( kx-wt -π/2) D3 = 2A sen( kx +wt +4π)

According to the principle of superposition, the wave resulting from the composition of waves D1, D2 and D3 (all transverse) and propagating in a string of length L, fixed at both ends, will have the following characteristics: D:(x,t) = A sen (kx – wt – 2n) D2(x,t) = A cos (kx – wt – T/2) - D3(x,t) = 2A sen (kx + wt + 41) select the correct alternative: 1. A stationary wave with four times the amplitude of D1 2. A stationary wave with the same amplitude as D1

According to the principle of superposition, the wave resulting from the composition of waves D1, D2 and D3 (all transverse) and propagating in a string of length L, fixed at both ends, will have the following characteristics: D:(x,t) = A sen (kx – wt – 2n) D2(x,t) = A cos (kx – wt – T/2) - D3(x,t) = 2A sen (kx + wt + 41) select the correct alternative: 1. A stationary wave with four times the amplitude of D1 2. A stationary wave with the same amplitude as D1

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter13: Continuous Systems; Waves

Section: Chapter Questions

Problem 13.19P

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