The Super Quick Spin: What Fraction Stagger Right Through?

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In summary, "Super Quick Spin Question" is a scientific method used to rapidly spin samples or solutions in a centrifuge to separate components based on their density. The sample is placed in a test tube or centrifuge tube and spun at high speeds, allowing denser components to settle at the bottom while lighter components remain at the top. The purpose of this method is to separate different components in a sample for further analysis or experimentation. The benefits include a quick and efficient separation process, saving time and effort. However, it has limitations such as only being able to separate based on density and requiring specialized equipment.
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Homework Statement



Please see attached

Homework Equations





The Attempt at a Solution



So I'm trying to answer the final q - what fraction stagger right through?

The answer I get is 1/16... is this right? It just seems quite small..

My reasoning was that the probability of getting through the first is 1/4 and then if its in the state |1,x> the probability of measuring |-1,z> is also a quarter.. therefore it is 1/4 times 1/4 i.e. 1/16 right?
 

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Sorry. it should be 1/3 times 1/16 right?

so 1/48?

Thanks
 

1. What is "Super Quick Spin Question"?

"Super Quick Spin Question" is a scientific method used to rapidly spin samples or solutions in a centrifuge to separate components based on their density.

2. How does "Super Quick Spin Question" work?

The sample is placed in a test tube or centrifuge tube and spun at high speeds. The denser components will settle at the bottom of the tube while the lighter components remain at the top.

3. What is the purpose of "Super Quick Spin Question"?

The purpose of "Super Quick Spin Question" is to separate different components of a sample, such as cells, proteins, or DNA, based on their density for further analysis or experimentation.

4. What are the benefits of using "Super Quick Spin Question"?

Using "Super Quick Spin Question" allows for a quick and efficient separation of components in a sample, saving time and effort compared to other methods such as filtration or precipitation.

5. Are there any limitations to "Super Quick Spin Question"?

One limitation of "Super Quick Spin Question" is that it can only separate components based on their density. Other properties, such as size or charge, cannot be taken into account. Additionally, it requires specialized equipment and may not be suitable for all types of samples or solutions.

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