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The probability is very close to zero.

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Q: What is the probability that Beta minus decay will occur on a given neutron in a given second?
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What is released when a proton and electron are forced together?

This is called inverse beta decay and it forms a neutron. Normally a neutron will decay into a proton and electron, but the opposite will happen given enough energy. Coincidentally, this is how neutron stars are formed (the immense pressure from gravity overcomes the force separating protons and electrons.)


Why the concept of nuclear cross section is so frequently used in nuclear physics?

A nuclear cross section is a "technical" way of saying how large a "target" a given atomic nucleus presents to an incoming neutron. And we need to know that about different elements, and about the different isotopes of those elements. There are some other applications, but this is the "biggie" for the use of the term nuclear cross section. And we need to start with the idea that fission begins with a neutron entering an atomic nucleus to cause fission. If your model of nuclear fission is a cue ball breaking a rack of billliard balls, we need to refine it. Get you from the "B" grade to an "A" grade in physics. A neutron doesn't "smash" an atomic nucleus. It is captured by it (neutron capture) and an instability results. A neutron released in the fission process comes away from the fission event like a bullet out of a gun. Because it is moving so "fast" it has a low probability of being captured. It needs to undergo some scattering (little "collisions" with other atomic nuclei) to slow it down (thermalize it). The thermal neutron has a higher probability of being captured by a given nucleus and causing another fission, if it is captured by a fissionable atom. We've seen how the energy of the neutron affects its probability of being captured, but it turns out that different elements present a different sized "target" for the neutron. The size depends on the energy of that neutron, but also on the element being targeted, and which isotope of that element is under consideration. To repeat, each element has a different nuclear cross section (target size) for a neutron (of a given energy), and each isotope of a given element has a different nuclear cross section (for that same given neutron energy). Three things are at work. The energy of the neutron aside, the element and the different isotopes of each element have different probabilities of capturing a neutron of a given energy. The nuclear cross section is a measure of the "receptivity" of a given nucleus to an incoming neutron. It's that probability of capture. That's it in a nutshell. Links can be found below.


Why is Radioactive decay is said to be random?

The underlying truth in radioactive decay is that on an individual basis, no unstable atom will have a predictable time until it will decay. We understand and characterize the decay of radionuclides on the basis of statistical analysis. Only by looking at a large number of atoms of a given isotope of a given element and counting the decay events over time can we quantify the decay rate. The term half-life is used to state (based on the statistics) when half of a given quantity of a substance will have undergone radioactive decay. Note that atoms are incredibly tiny things, and even if we have very tiny quantities of a given radioactive material, we'll have huge numbers of atoms of that material in the sample. The larger the number of atoms of material and the longer we count the decay events, the more accurate our half-life value will be. Having said all that, no one can predict when a given atom of any radionuclide will decay. Each is different, and that is the basis for the random nature of nuclear or radioactive decay.


What is the meaning of random variable in probability distribution?

It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.


What is the probability that the first card drawn is a spade given that the second card drawn is a spade?

It is 156/663 = 0.2353, approx.


What atmost means in probability?

all probabilities smaller than the given probability ("at most") all probabilities larger than the given probability ("at least")


How does one find the probability of A given B compliment?

P(A given B')=[P(A)-P(AnB)]/[1-P(B)].In words: Probability of A given B compliment is equal to the Probability of A minus the Probability of A intersect B, divided by 1 minus the probability of B.


The probability of event A occurring given event B has occurred is an example of?

The probability of event A occurring given event B has occurred is an example of conditional probability.


What is the probability of getting 4 of a kind given 13 cards from a deck of card?

The probability is 1.The probability is 1.The probability is 1.The probability is 1.


How does radioactive decay transmute elements?

A radioactive element has unstable atomic nuclei. These nuclei will decay according to the decay scheme for that given element under inspection. Depending on the type of decay, an alpha particle (a helium-4 nucleus), or a beta particle (an electron or a positron, depending) may be ejected from the nucleus. This will result in nuclear transformation. With each decay, a "new" nuclear configuration will appear, and these nuclei will, if they are also unstable, undergo further radioactive decay along what is called a decay chain. With continued decay, the atoms will change and reach the end of the chain, and this will be signaled by the appearance of a stable atomic nucleus.


What happens to a neutron star that gives it the name pulsar?

the name pulsar is given to a neutron star that rotates


What are the properties of radioactive particles?

Radioactive materials have unstable nuclei. That's what makes them what they are. The nucleus of a radionuclide will eventually decay. The time that must pass before this happens, and the manner in which the decay will take place vary from one radioisotope to another. As regards the length of time to decay, we cannot know for a given atom of a radionuclide just when it will decay. Certainly we can (and do) find what is called a half-life for each radioisotope. This is a statistically arrived at "average" for the length of time it will take for a given radioisotope to "lose" half its mass to decay. While we can't know when a given atom of something will decay, we can find, and with a great deal of accuracy, the length of time it will take for half of a large number of atoms of a given radionuclide to decay. When it comes to modes of radioactive decay, there are several, and each radioisotope has one of the modes as its own (though there are a few radionuclides that have a couple of different possible decay schemes). The decay schemes are spontaneous fission, alpha decay, beta decay (several kinds), proton emission, double proton emission, neutron emission, and cluster decay. This short post hits the nail on the head. More information is certainly out there, and Wikipedia has some good stuff posted. You'll find a link below to material that is on point.