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i. Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier

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i. Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height vo with E >VO. The electrons are traveling in the x direction and they are originated fromx =---. Find the transmission coefficient between regions I and II ii. Find the reflection coefficient between regions I and II. iii. Assume the electron velocity is 7 x105 cm/s, E =VO/0.1. Find the probability that there is an electron at the distance a = 70 A'after the barrier. iv. Determine the de Broglie wavelength in A ? V(x) Incident particles VO Region 1 Region II x=0 1 i. Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height vo with E >VO. The electrons are traveling in the x direction and they are originated fromx =---. Find the transmission coefficient between regions I and II ii. Find the reflection coefficient between regions I and II. iii. Assume the electron velocity is 7 x105 cm/s, E =VO/0.1. Find the probability that there is an electron at the distance a = 70 A'after the barrier. iv. Determine the de Broglie wavelength in A ? V(x) Incident particles VO Region 1 Region II x=0 1

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