Question

A radioactive sample X decays into another substance Y. Initially only X was present. x and y are the disintegration constants of X and Y. Ny will be maximum when

Answer 1

Answer:

  λxNx =λyNy

Explanation:

dN / dt = λxNx - λyNy

ie when X disintegrate to form Y rate increases by λxNx

But as the object is  radioactive , it further degenerate

ie the formed Y decompose , decreasing the rate and that is why we subtracted

For max value  derivative should be 0 ie dN / dt = 0

For that    λxNx =λyNy