Exam 5: Matter Behaves Like Waves Quantum Physics

It is possible with appropriately shaped external magnetic poles to create a situation where the effect of those poles does not vary with position along the SG axis. Imagine a small magnet placed in such a situation. What is the direction of the net force on the small magnet?

The drawing below shows a sequence of Stern-Gerlach devices. By analogy to the cases discussed in the chapter, what do you think are the probabilities that an electron entering the last device will come out of that device's plus and minus channels, respectively?

Any mathematical solution to Schrödinger's equation is a valid energy eigenfunction.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen - The distance between the slit and the screen increases.

Note: Each problem in this column concerns a quanton moving in one dimension in response to the potential energy function $V(x)$ shown. The graph below the potential energy graph shows the energy eigenfunction (EEF) $\psi_{n}(x)$ corresponding to the energy shown as a horizontal line on the potential energy graph ( $E_{n}$ means the $n$ th energy level, where $n=1$ is the ground state). In each case, there is something wrong with the energy eigenfunction shown. Select from the following responses to indicate what is wrong: The EEF shown is incorrectly drawn because

In the apparatus shown in figure Q4.1a, the value displayed by the ammeter is proportional to

We can completely determine a $q$ -vector's components from an appropriate set of probability measurements.

Consider the experimental evidence we have discussed in the past few chapters. Classify the following experimental results according to the following scheme: For the quantons in question, the results: -An electron beam shining on a nickel crystal is preferentially reflected in certain directions instead of being scattered uniformly in all directions.

Consider the following quantum state vector: $|\psi\rangle=\left[\begin{array}{c}\frac{3}{5} \\-\frac{4}{5}\end{array}\right]$ Which of the following $q$ -vectors is physically equivalent to the vector $|\psi\rangle$ ?

Imagine that the wave shown below moves right along a stretched string. It meets and passes through one of the left-going waves provided in the choices. For which choice is there an instant where the string is flat?