Isotope R has a half-life of

PHYSICS · Single correct · GCSE · Physics · Atomic Structure · Atomic Structure

Problem

Isotope R has a half-life of 2.0 h2.0\,\text{h}, whereas isotope S has a half-life of 8.0 h8.0\,\text{h}. A sample initially contains equal numbers of atoms of R and S. Which statement correctly compares the numbers of atoms of R and S remaining after 16 h16\,\text{h}? (a) Fewer atoms of R remain because R has undergone eight half-lives, whereas S has undergone only two (b) Fewer atoms of R remain because R has undergone four half-lives while S has undergone only two (c) More atoms of R remain because the shorter half-life means it decays more slowly than S (d) Fewer atoms of S remain because S has undergone eight half-lives, whereas R has undergone only two

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