A free particle moving along positive x-axis encounter three regions as shown in the figure. The wave functions of the particle in region 1 and region 2 are of the form 4(x) = Asin(kx- wt). Where k=2T/A is a wave number and wt = o is the phase term. In region 1, the amplitude of the wave function A1=11.5, wavelength A1 = 4.97 nm and phase = -65.3°. The wavelength in region 2 is A2 = 10.5 nm. The boundary C is located at x = 0, and the boundary D is located at x = L, where L = 20 nm. Using the mathematical features of wave function, find the amplitude of the wave function and the phase in region 2. (A2 and ø2) Region 1 Region 2 Region 3 C D (x= 0) (x = L)

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A free particle moving along positive x-axis encounter three regions as shown in the figure.
The wave functions of the particle in region 1 and region 2 are of the form 4(x) = Asin(kx-
wt). Where k=2T/A is a wave number and wt = o is the phase term. In region 1, the
amplitude of the wave function A1=11.5, wavelength A1 = 4.97 nm and phase = -65.3°.
The wavelength in region 2 is A2 = 10.5 nm. The boundary C is located at x = 0, and the
boundary D is located at x = L, where L = 20 nm. Using the mathematical features of wave
function, find the amplitude of the wave function and the phase in region 2. (A2 and ø2)
Region 1
Region 2 Region 3
C
D
(x= 0)
(x = L)
Transcribed Image Text:A free particle moving along positive x-axis encounter three regions as shown in the figure. The wave functions of the particle in region 1 and region 2 are of the form 4(x) = Asin(kx- wt). Where k=2T/A is a wave number and wt = o is the phase term. In region 1, the amplitude of the wave function A1=11.5, wavelength A1 = 4.97 nm and phase = -65.3°. The wavelength in region 2 is A2 = 10.5 nm. The boundary C is located at x = 0, and the boundary D is located at x = L, where L = 20 nm. Using the mathematical features of wave function, find the amplitude of the wave function and the phase in region 2. (A2 and ø2) Region 1 Region 2 Region 3 C D (x= 0) (x = L)
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