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A particle of mass m and energy E moving in the positive x- direction, encounters a one - dimensional potential barrier at x = 0. The barrier is defined by 

If the wave function of the particle in the region x < 0 is given as Aelkx + Be-ikx. If  = 0.4, then
  • a)
  • b)
    T = 0.16
  • c)
    R = 0.84
  • d)
    R + T = 1
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
A particle of mass m and energy E moving in the positive x- direction,...
Assuming region (I) for x < 0 and region (II) for x > 0 for region (I), wave function

For region (II), we can write wave function as

At the boundary , x = 0


According to the question



Reflection coefficient

Transmission coefficient 
T = 1 - R = 0.84
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A particle of mass m and energy E moving in the positive x- direction, encounters a one - dimensional potential barrier at x = 0. The barrier is defined byIf the wave function of the particle in the region x < 0 is given as Aelkx + Be-ikx. If= 0.4, thena)b)T = 0.16c)R = 0.84d)R + T = 1Correct answer is option 'A,D'. Can you explain this answer?
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A particle of mass m and energy E moving in the positive x- direction, encounters a one - dimensional potential barrier at x = 0. The barrier is defined byIf the wave function of the particle in the region x < 0 is given as Aelkx + Be-ikx. If= 0.4, thena)b)T = 0.16c)R = 0.84d)R + T = 1Correct answer is option 'A,D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle of mass m and energy E moving in the positive x- direction, encounters a one - dimensional potential barrier at x = 0. The barrier is defined byIf the wave function of the particle in the region x < 0 is given as Aelkx + Be-ikx. If= 0.4, thena)b)T = 0.16c)R = 0.84d)R + T = 1Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m and energy E moving in the positive x- direction, encounters a one - dimensional potential barrier at x = 0. The barrier is defined byIf the wave function of the particle in the region x < 0 is given as Aelkx + Be-ikx. If= 0.4, thena)b)T = 0.16c)R = 0.84d)R + T = 1Correct answer is option 'A,D'. Can you explain this answer?.
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