A pure sample of nuclide A and a pure sample of nuclide B have the same activity at time t = 0. Nuclide A has a half-life of T, nuclide B has a half-life of 2T.

What is \(\frac{{{\text{activity of A}}}}{{{\text{activity of B}}}}\) when t = 4T?

A.  4

B.  2

C.  \(\frac{1}{2}\)

D.  \(\frac{1}{4}\)

D