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A geological rock sample contains two radioactive isotopes, X and Y.

In the sample, there are N nuclei of X and 5N nuclei of Y. The half-life of isotope X is half of that of isotope Y. Y is not the product of X decaying nor is X the product of Y decaying.

The sample is stored for a time equal to two half-lives of isotope Y.

Determine the magnitude of the ratio



at the end of the storage period.



(3 marks)

b Polonium-210 is an alpha particle emitter with a decay constant of 5.80 × 10−8 s−1.

i Complete the decay equation below.



(2 marks)

ii Calculate the activity of 1.80 mg of polonium-210.



(3 marks)

iii How many nuclei of the polonium remain after 98 days?
An α particle having energy 10Mev collides with a nucleus of atomic mass 50 . Then distance of closest approach will be ?
(a) From the known masses of 15O and 15N, compute the difference in binding energy. (b) Assuming this difference to arise from the difference in Coulomb energy, compute the nuclear radius of 15O and 15N.
The half-life of cobalt-60 is 5.274 years. Calculate the activity of a sample of

cobalt-60 weighing 1 g in units of Curie (Ci).
The driver of a car suddenly applies the brakes hard for 2.6 s. As a result, an average force of 6200 N is exerted on the car to slow it. What is the impulse on the car?
It is possible to date radiometrically rocks and minerals that contain naturally radioactive elements. They are the basis for quantifying the timing and duration of geologic events and have produced an entire new subdiscipline of geology.What quantities can we measure?

D-De fusion only needs one million degrees to ignite. and so is used to explore fusion in experimental reactors. I read that in a protostar, it doesn’t get much hotter, but http://hyperphysics.phy-astr.gsu.edu/hbase/NucEne/fusion.html says it produces 3.27 MeV or 4.03 MeV, producing an He-3 or a tritium.


If D-D is easy, why isn’t it explored for fusion power? Not enough energy, or is the cross section (likelihood of a reaction?) too low, or?


3.27 MeV = ~38 billion degrees kelvin: 4.02 = 47 billion. Assume you could fuse a D-D plasmoid (by inducing a current and so a field-reverse configuration “pinch” in it? Could that be enough?)—and you then slammed two or more D- He-3 plasmoids on top of that at thousands of km/sec; could the D-D fusion act as the “spark” to ignite the D + He-3 and He-3 + He-3?


If you then slammed protons on top of that, and crushed it all down with an external magnetic field, do you think you might ignite proton-proton fusion?




Can high-energy neutrons fission U-238 without breeding or converting it to Pu-239 first?


See: “nuclear fusion: deuterium–tritium fusion produces neutrons of 14.1 MeV (1400 TJ/kg, i.e. 52,000 km/s, 17.3% of the speed of light) that can easily fission uranium-238 and other non-fissile actinides.” Here:


https://en.wikipedia.org/wiki/Neutron_temperature#Fast


Doesn’t “non-fissile” mean under all circumstances?
I read that a neutron at 14.1 MeV “recoils” at 52,000 km/sec, 17% of C. I also read that 14.1 MeV equates to ~164 billion degrees K. That’s not at the same time, is it? Is that the temperature of the neutron when something stops it, when its kinetic energy becomes heat energy, assuming that it transfers none of that heat to its surroundings? If not, how does this work?


https://www.translatorscafe.com/unit-converter/en-US/energy/10-70/megaelectron-volt-kelvin/


https://en.wikipedia.org/wiki/Neutron_temperature#Fast
In a system a particle A of mass m and charge -2q is moving in the nearest orbit around a very heavy particle B having charge +q .Assuming Bohr's model of the atom to be applicable to this system the orbital angular velocity of the particle A is


Answer: (2πmq^4)/(€²h^3)
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