Two radioactive nuclides, X and Y, have half-lives of 50 s and 100 s respectively. At time t = 0 samples of X and Y contain the same number of nuclei.

What is \(\frac{{{\text{number of nuclei of X undecayed}}}}{{{\text{number of nuclei of Y undecayed}}}}\) when t = 200 s?

A.     4

B.     2

C.     \(\frac{1}{2}\)

D.     \(\frac{1}{4}\)

D