Question 28.Q-Q.10: Which of the following changes would increase the probabilit...
Which of the following changes would increase the probability of transmission of a particle through a potential barrier? (You may choose more than one answer.) (a) decreasing the width of the barrier (b) increasing the width of the barrier (c) decreasing the height of the barrier (d) increasing the height of the barrier (e) decreasing the kinetic energy of the incident particle (f) increasing the kinetic energy of the incident particle
(a), (c), (f). Decreasing the barrier height and increasing the particle energy both reduce the value of C in Equation 28.38, increasing the transmission coefficient in Equation 28.37. Decreasing the width L of the barrier increases the transmission coefficient in Equation 28.37.
T \approx e^{-2 C L} [28.37]
C=\frac{\sqrt{2 m(U-E)}}{\hbar} [28.38]