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 in multiple of τ ?

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 in multiple of τ ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

At t=T Nx=Ny (one half life) ⇒ T=τ

Q. 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 $T$ in multiple of $τ$ ?

At $t = T$
$N_{x} = N_{y}$ (one half life)
$\Rightarrow T = τ$

Q. 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 in multiple of τ ?

At t=T Nx​=Ny​ (one half life) ⇒T=τ

Q. 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 $T$ in multiple of $τ$ ?

At $t = T$
$N_{x} = N_{y}$ (one half life)
$\Rightarrow T = τ$