In an ore containing uranium, the ratio of \[{{U}^{238}}\] to \[P{{b}^{206}}\]nuclei is 3. Calculate the age of the ore, assuming that all the lead present in the ore in the final stable product of \[{{U}^{238}}\]. Take the half-life of \[{{U}^{238}}\]to be \[4.5\times {{10}^{9}}\]ear.

• A. \[1.8\times {{10}^{9}}\] year
• B. \[2.3\times {{10}^{10}}\]year
• C. \[5.1\times {{10}^{7}}\] year
• D. \[6.2\times {{10}^{6}}\]year