Ex 2.4 The probability of finding a particle at a distance d in region II compared with that at x = 0 is given by exp (-2kad). Consider an electron tra veling in region I at a velocity of 10' m/s incident on a potential barrier whose height is three times the kinetic energy of the electron. Find the probability of finding the electron at a dis- tance d compared with x 0 where d is (a) 10 A and (b) 100 Å into the potential %3! [Ans. (a) P 8.680%; (b) P = 2,43 X 10-%]
Ex 2.4 The probability of finding a particle at a distance d in region II compared with that at x = 0 is given by exp (-2kad). Consider an electron tra veling in region I at a velocity of 10' m/s incident on a potential barrier whose height is three times the kinetic energy of the electron. Find the probability of finding the electron at a dis- tance d compared with x 0 where d is (a) 10 A and (b) 100 Å into the potential %3! [Ans. (a) P 8.680%; (b) P = 2,43 X 10-%]
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Ex 2.4 The probability of finding a particle at a distance d in region II compared with that
at x = 0 is given by exp (-2kd). Consider an electron traveling in region I at a
velocity of 10' m/s incident on a potential barrier whose height is three times the
kinetic energy of the electron. Find the probability of finding the electron at a dis-
tance d compared with x 0 where d is (a) 10 Å and (b) 100 Å into the potential
[Ans. (a) P 8.680%; (b) P = 2.43 X 10-9%]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b990079-7ae1-49a8-8ee4-a83fb67f4d6c%2F79b28d80-6f4f-42fa-a9f7-ea527969234c%2Fa7yg628_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXERCISE PROBLEM
Ex 2.4 The probability of finding a particle at a distance d in region II compared with that
at x = 0 is given by exp (-2kd). Consider an electron traveling in region I at a
velocity of 10' m/s incident on a potential barrier whose height is three times the
kinetic energy of the electron. Find the probability of finding the electron at a dis-
tance d compared with x 0 where d is (a) 10 Å and (b) 100 Å into the potential
[Ans. (a) P 8.680%; (b) P = 2.43 X 10-9%]
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