A) \[{{R}_{1}}{{t}_{1}}-{{R}_{2}}{{t}_{2}}\]
B) \[{{R}_{1}}-{{R}_{2}}\]
C) \[\frac{{{R}_{1}}-{{R}_{2}}}{T}\]
D) \[({{R}_{1}}-{{R}_{2}})T\]
Correct Answer: B
Solution :
\[{{R}_{1}}=\lambda {{N}_{1}}=\lambda {{N}_{0}}{{e}^{-\lambda {{t}_{1}}}}\] \[{{R}_{2}}=\lambda {{N}_{2}}=\lambda {{N}_{0}}{{e}^{-\lambda {{t}_{2}}}}\] Atoms which have been disintegrated in time \[{{t}_{2}}-{{t}_{1}}\]are: \[{{N}_{1}}-{{N}_{2}}=\frac{{{R}_{1}}-{{R}_{2}}}{\lambda }=({{R}_{1}}-{{R}_{2}})T\]
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