Question 5

An

electron is in a 1D box of length L = 1.0 nm. The product of the electron’s

position and momentum uncertainties is the minimum. If the electron’s position

uncertainty is the maximum, calculate the electron’s momentum

uncertainty.

Question 3 (cont.)

(c) Calculate the probability of finding the electron between x=-∞ and x=0.

Question 3 (cont.)

(b)  

At what position x is the electron most likely

to be found?

Question 3

The wavefunction of an electron, which

moves along the x-axis, is given by

where x ranges from -∞ to ∞

(a)   Calculate the constant a.

Question 2 (cont.)

(c) What is the probability of finding the electron to the right of x=L/2?

Question 2 (cont.)

(b) What is the probability of finding the electron at x=L/2?

Question 2 (cont.)

(d) What is the probability of finding the electron between x=L/4 and x=L/2?

Question 2

An electron is in a 1D box, which lies on the x-axis. The coordinate of the left and right end of the box is x=0 and x=L, respectively. The electron is in the 3^rd excited state.

(a) What is the probability of finding the electron outside the box?

Question 1

The atoms of a gas have only two possible energy levels. 5x10⁶ atoms are in the excited state at t = 0. The lifetime of the excited state is 10 ns. At t = 9.162907 ns, how many photons have been emitted?

In the double slit experiment with electrons, the distance between adjacent maxima in the ‘interference’ pattern increases if