A) \[\mu k\]
B) \[^{40}Ar\]
C) \[^{40}k\]
D) \[2.95\times {{10}^{11}}yr\]
Correct Answer: D
Solution :
Number of nuclei remained after time t can be written as \[\pi \] where \[\pi \] is initial number of nuclei of both the substances. \[\pi \] ?.....(i) and \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\] ?...(ii) Dividing Eq. (i) by Eq. (ii), we obtain \[[M{{L}^{2}}{{T}^{-2}}]\] But, we have given \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\] Hence, \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\] Comparing the powers, we get \[\frac{pV}{nT}\] or \[{{T}_{1}}>{{T}_{2}}\]
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