Consider a radioactive decay where the parent nucleus (1) decays into a daughter nucleus (2) which in turn decays into another stable daughter nucleus (3). So essentially, we have decay decay daughter nucleus N₁ N₂ №3 (a) Set up and solve the differential equation for N3(t). (b) val@ate N₁ (t) + N₂(t) + N3 & interpret. (c) Eamie N₁ (t), №₂ (t), N3 (t) at Om@llt & interpret. (d) Find the limits of N₁ (t), N₂ (t), N3 (t) ast →∞ & interpret. parent nucleus daughter nucleus

Two radioactive isotopes, X and Y, both decay to stable products. The half-life of X is about aday, while that of Y is about a week. Suppose a radioactive sample consists of a mixture of thesetwo nuclides. If the mixture is such that the activities arising from X and Y are initially equal,then a few days later the activity of the sample will be due ………………………………… .i. predominantly to X.ii. predominantly to Y.iii. to X and Y equally.iv. entirely to Y.

A sample of radioactive isotope is found to have an activity of 110 Bq imediately after it is pulled from the reactor that formed the isotope. Its activity 1 h, 20 min later is measured to be 89 Bq. Find the decay constant of the sample. Answer in units of h-. Find the half-life of the sample. Answer in units of h. How many radioactive nuclei were there in the sample initially?

Consider the fission reaction see image After having found the missing nuclide, calculate the Q-value of the reaction. Enter your result in MeV to 1 decimal place

Thorium  22890Th produces a daughter nucleus that is radioactive. The daughter, in turn, produces its own radioactive daughter, and so on. This process continues until bismuth 21883Bi is reached. What are (a) the total number Nα of α particles and (b) the total number Nβ of β- particles that are generated in this series of radioactive decays?

There is more than one isotope of natural uranium. If a researcher isolates 0.7 mg of the relatively scarce 235U and finds this mass to have an activity of 78.0 Bq, what is its half-life in years? =___years