Question

the graph represents the decay of a newly prepared sample of radioactive nuclide X to a stable nuclide Y.the half-life of X is t. the growth curve for Y intersects the decay curve for X after time T. what is the time t?

Answer 1

Answer:

The answer is T=t1/2=τ

Explanation:

Your question:

The graph represents the decay of a newly-prepared sample of radioactive nuclide X to a stable nuclide Y. The half-life of X is τ . The growth curve for Y intersects the decay curve for X after time T. What is the time T?  

Suggested Solution  

At any time,  

No. of undecayed  

N+ No of decayed N= Total initial No. of N

NX+Ny=N0

Thus 0yx

Nx=N0-Nx

At time T, the two curves intersect, Nx= Ny

Nx=N0-Nx

2N0e- λT = N0

- λT = 1n ½ = -1n 2

T=t1/2=τ