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According to the superposition principle, the wave resulting from the composition of waves d1, d2 and d3 below (all transverse) and which propagate on a string of length L, fixed at both ends, will have the following characteristics:
( )A standing wave with four times the amplitude of D1.
( )A wave with the same amplitude, velocity and initial phase as D1, but with the opposite direction of propagation.
( )A standing wave with twice the amplitude of D1.
( )A wave with the same propagation direction, velocity and initial phase as D1 , but with twice its amplitude.
( )A wave with the same speed and initial phase as D1 , but with the opposite direction of propagation and twice its amplitude.
( )A wave with the same speed and initial phase as D1 , but with the opposite direction of propagation and half its amplitude.
( )A wave with the same speed and initial phase as D1, but with the opposite direction of propagation and four times its amplitude.
( )A wave with the same propagation direction, velocity and initial phase as D1, but with half its amplitude.
( )A wave with the same propagation direction, velocity and initial phase as D1, but with four times its amplitude.
( )A standing wave with the same amplitude as D1.
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- A standing wave has the following wave-function: y(x,t) = 0.2 sin(TIX) cos(12Ttt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is: O n= 3 O n= 6 O n = 5 n = 2 n = 4 A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2t m/s. The amplitude A of each of the individual waves producina the standing wave is:arrow_forwardAccording 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 + 4T) 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 3. A stationary wave with twice the amplitude of D1 4. A wave with the same velocity and initial phase as D1, but with opposite propagation direction and half its amplitude 5. A wave with the same velocity and initial phase as D1, but with opposite propagation direction and four times its amplitude 6. A wave with the same propagation direction, velocity, and initial phase as D1, but with four times its amplitude 7. A wave with the same propagation direction, velocity, and initial phase as D1, but with twice the amplitude 8. A wave…arrow_forward
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