In an ore containing uranium

PHYSICS · Subjective · A Level · Physics · Nuclear physics · Nuclear physics

Problem

In an ore containing uranium, the ratio of

{}^{238}\mathrm{U}

{}^{206}\mathrm{Pb}

nuclei is

3

. Calculate the age of the ore, assuming that all the lead present in the ore is the final stable product of

{}^{238}\mathrm{U}

. Take the half-life of

{}^{238}\mathrm{U}

to be

4.5\times10^9\ \text{years}