A) \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\]
B) \[[M{{L}^{2}}{{T}^{-2}}]\]
C) \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\]
D) \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]
Correct Answer: C
Solution :
If \[\frac{qv{{R}^{2}}}{2}\] potassium atoms were present at the time the rock was formed by solidification from a molten form, the number of potassium atoms remaining at the time of analysis is, \[qvR\] .....(i) in which t is the age of the rock. For every potassium atom that decays, an argon atom is produced. Thus, the number of argon atoms present at the line of the analysis is \[{{L}_{A}}\] ?..(ii) We cannot measure \[{{N}_{0}},\] so lets eliminate it from Eqs. (i) and (ii). We find, after some algebra, that \[{{L}_{B}}\] in which \[{{L}_{A}}>{{L}_{B}}\] can be measured. Solving for t \[t=\frac{{{T}^{1/2}}\ln (1+{{N}_{Ar}}/{{N}_{K}})}{\ln \,2}\] \[{{L}_{A}}\] \[{{L}_{B}}\]
You need to login to perform this action.
You will be redirected in
3 sec
