A radioactive nucleus X decays to a nucleus Y with a decay constant λx = 0.1 s-1 . Y further decays to a stable nucleus Z with a decay constant λy = 1/30 s-1. Initially, there are only X nuclei and their number is N0 = 1020. Set up the rate equations for the populations of X, Y and Z. The population of Y nucleus as a function or time is given by NY (t) = (N0 λλ (λx – λy)) {exp (-λyt)-exp (-λxt) – exp (λx t)}. Find the time at which NY is maximum and determine the populations X and Z at that instant
A radioactive nucleus X decays to a nucleus Y with a decay constant λx = 0.1 s-1 . Y further decays to a stable nucleus Z with a decay constant λy = 1/30 s-1. Initially, there are only X nuclei and their number is N0 = 1020. Set up the rate equations for the populations of X, Y and Z. The population of Y nucleus as a function or time is given by NY (t) = (N0 λλ (λx – λy)) {exp (-λyt)-exp (-λxt) – exp (λx t)}. Find the time at which NY is maximum and determine the populations X and Z at that instant
Amit Saxena , 11 Years ago
Grade upto college level
