You have set up an experiment where two Stern-Gerlach analyzers sequentially measure spin along the z-axis....

You have set up an experiment where two Stern-Gerlach analyzers sequentially measure spin along the z-axis. The first analyzer allows particles with spin up along z to pass. The second analyzer allows particles with spin down along z to pass. Between the two analyzers is a magnetic field aligned along +x. Your experiment sends identical spin-1/2 particles at speed v along the y-axis through the analyzers, which are separated by a distance Δy. What is the smallest distance Δy that will transmit 50% of the particles passed through the first analyzer through the second analyzer?

Expert Solution

genius_generous answered 1 year ago

It is not possible to do a Stern-Gerlach experiment on a free electron to measure its...

It is not possible to do a Stern-Gerlach experiment on a free electron to measure its spin magnetic dipole moment; it is only possible if the electron is in a neutral atom. Explain why. (Hint: There is a superficial answer, which has a superficial rebuttal. A complete answer involves the uncertainty principle.)

An experiment was set up to measure the yield provided by each of the three catalysts...

An experiment was set up to measure the yield provided by each of the three catalysts in a certain reaction. The experiment was repeated three times for each catalyst. The reactor yields, in grams, are below. Catalyst 1: 84.33 90.25 85.62 Catalyst 2: 88.44 89.81 86.53 Catalyst 3: 94.71 91.19 92.81 A) Construct the ANOVA table for this problem. B) Determine if differences exist between the catalysts at alpha = 0.05. If there are differences in the catalysts, perform the...

Q. An experiment was set up to measure the yield provided by each of three catalysts...

Q. An experiment was set up to measure the yield provided by each of three catalysts in a certain reaction. The experiment was repeated three times for each catalyst. The reactor yields, in grams, are below. Catalyst 1: 84.33 90.25 85.62 Catalyst 2: 88.44 89.81 86.53 Catalyst 3: 94.71 91.19 92.81 (a) Construct the ANOVA table for this problem. (b) Determine if differences exist between the catalysts at alpha = 0.05. If there are differences in the catalysts, perform the...

A cross dipole is shown below, with the two arms centred at the z-axis, aligned along...

A cross dipole is shown below, with the two arms centred at the z-axis, aligned along the x- and y-axes, and excited by uniform currents Ix and Iy, respectively. Using superposition and assuming the two dipoles do not interact with each other, derive an expression for the radiation intensity of the cross-dipole antenna using the auxiliary vector potential method. Use the far-field approximations (2.33) and (2.34) for determining the electric and magnetic fields.

Imagine you are in an open field where two loudspeakers are set up and connected to...

Imagine you are in an open field where two loudspeakers are set up and connected to the same amplifier so that they emit sound waves in phase at 688 Hz. Take the speed of sound in air to be 344 m/s. If you are 3.00 m from speaker A directly to your right and 3.50 m from speaker B directly to your left. What is the shortest distance d you need to walk forward to be at a point where...

A vertical infinite wire along the z-axis has two symmetries: One is a rotational symmetry around...

A vertical infinite wire along the z-axis has two symmetries: One is a rotational symmetry around the z-axis while the other is a translational symmetry along the z-axis. Describe the symmetries of a) a sphere, b) an infinite plane, c) a circular plate, d) a finite length rod with circular cross section, and e) a finite length bar with a square cross section. Please explain process.

Consider the isatin yield experiment below. Set up the 2^4 experiment in this problem in two...

Consider the isatin yield experiment below. Set up the 2^4 experiment in this problem in two blocks with ABCD confounded. Analyze the data from this design. Is the block effect large?. Show the steps to perform this in Minitab. factor low high A:acid strength (%) 87 93 B:Reaction time (min) 15 30 C:Amount of acid (ml) 35 45 D:reaction temperature (c) 60 70 A B C D yield -1 -1 -1 -1 6.08 1 -1 -1 -1 6.04 -1 1...

In this experiment, you will set things up again the same way you did in the...

In this experiment, you will set things up again the same way you did in the very first, only this time you will add Mycobacterium tuberculosis instead of yeast. Graph the data as above, and answer the questions below. Time (minutes) no sugar glucose sucrose maltose lactose galactose 0 0 0 0 0 0 0 5 0 3 0 0 2.8 3.1 10 0 6 0 0 5.6 6.2 15 0 9 0 0 8.8 9.3 20 0 12 0...

Two different plant fertilizers are available. Set up an experiment to determine which will grow the...

Two different plant fertilizers are available. Set up an experiment to determine which will grow the largest plant by answering the following questions. The yield data (kg/plot) were collected from 20 plots. Each fertilizer (A or B) was randomly assigned to 10 plots. Fertilizer A 17.5 17.9 18.2 16.9 17.2 17.5 17.3 18.9 16.8 17.1 Fertilizer B 18.4 17.9 18.2 17.6 17.6 18.8 18.1 17.4 17.8 17.6 f. Conduct the appropriate hypothesis testing. Report the test-statistics and p-values. g. Make...

Consider an experiment where you toss a coin as often as necessary to turn up one...

Consider an experiment where you toss a coin as often as necessary to turn up one head.Suppose that the probability of having a tail is p(obviously probability of a head is 1−p).Assume independence between tosses.a) State the sample space. b) Let X be the number of tosses needed to get one head. What is the support (possible values ofX)? c) FindP(X= 1),P(X= 2) andP(X= 3). d) Deduce the pmf of X from part c).

Question