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If we have y=a(b)^t as the equation then take b from this equation case !: If b <1 then b=1-r r=1-b this r is the decay factor case 2:If b >1 then b=1+r r=b-1 this is the growth factor
Any number below negative one.
f(t) = a + b*c-t, where a, b c are constants and t is a non-negative variable, is the general form of a function describing exponential decay. t is usually a variable related to time.The value of the function starts off f(0) = a + b and decreases (decays) towards f(t) = a.In some cases, such as radio active decay or a population extinction, a is zero so the amount of radioactive material left or surviving individuals decreases to zero.
Perhaps a good way to explain the difference between exponential and nonexponential decay (like perhaps linear decay) would be to use some examples. In radioactive decay, which is exponential decay, the rate of decay is a function of the amount of material present. The more you have to start with, the more decays per unit of time. The less you begin with the smaller that number of decay events in a given period. And as the decay continues the number of decay events per unit of time decreases. (A consequence is that the material might never be seen to all "go away" in time.) Radioactive decay is a function of the amount of material undergoing decay, and the rate of decay is exponential. That is, when we write the equations for the phenomenon, we'll be using exponents in the expressions to account for the dependence of the decay rate on the amount of material present. There is a good comparison to this. Let's say a group of students is in a classroom and leaves at the bell. The all get up and hit the door, but the rate at which the students can get out is basically a function of the width of the doorway, and not how many students are trying to get out. This is easy to see. If the students go through the door at one student per second and 30 students were in the class, it will take 30 seconds for them to all leave. The rate of "decay" of the population in the room is constant at one student per second. It does not change. It was the same when all the students were trying to get out, and remains constant even as the last couple of students are trying to exit. It is a nonexponential "decay" scheme, and is, in fact, a linear one. The equation expressing the egress phenomenon will not have any exponents in it; all the terms will be what are called first order terms. No "powers" of a number or variable will appear. (A consequence is that the room will empty of students, and definitely so. This is a contrast to radioactive decay.)
The constant factor that each value in an exponential decay pattern is multiplied by the next value. The decay factor is the base in an exponential decay equation. for example, in the equation A= 64(0.5^n), where A is he area of a ballot and the n is the number of cuts, the decay factor is 0.5.
The mass number decreases by 4 and the atomic number decreases by 2 after alpha decay. This is because an alpha particle consists of 2 protons and 2 neutrons, which are emitted during the decay process.
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
The atomic number of a nucleus does not change in gamma decay since no particles are emitted. In alpha decay, the atomic number decreases by 2 and the mass number decreases by 4. In beta decay, the atomic number increases by 1 (due to conversion of a neutron to a proton) while the mass number remains the same.
no, halflife is a constant for each isotope's decay process.
To find the decay factor, you need to know the formula y=ab^x where "a" is the initial amount and "b" the growth or decay factor. It is a growth factor if the number next to "a" is bigger than 1, b>1, and it is usually in (). For example y=12(1.3)^x notice that (1.3) is bigger than 1 so it is a growth factor. The decay factor is "b" the same as growth factor but only that b
The atomic number of an atom undergoing alpha decay decreases by 2. Not asked, but answered for completeness, the atomic mass number decreases by 4.
Beta decay decreases atomic mass by 1. In beta decay, a neutron in the nucleus is converted into a proton, releasing a beta particle (an electron) and an antineutrino. This results in an increase of the atomic number by 1, while the atomic mass remains the same.
True
it decreases due to decay of plant and animal material
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It is called beta decay. there are two types: 1) posive beta decay in which atomic number decreases. 2) negative beta decay in which atomic number increases.