A) \[({{A}_{1}}-{{A}_{2}})\]
B) \[\frac{({{A}_{1}}-{{A}_{2}})}{T}\]
C) \[({{A}_{1}}-{{A}_{2}})\,T\]
D) \[{{A}_{1}}{{t}_{1}}\,-\,{{A}_{2}}{{t}_{2}}\]
Correct Answer: C
Solution :
\[{{A}_{1}}={{N}_{1}}\lambda ,\,\,\,\,\,\,\,\,\,\,{{A}_{2}}={{N}_{2}}\lambda \] \[Mean\,\,life,\,\,T=\frac{1}{\lambda }\] \[{{A}_{1}}-{{A}_{2}}=({{N}_{1}}-{{N}_{2}})\,\lambda \,=\,({{N}_{1}}-{{N}_{2}})\,\frac{1}{T}\] So, number of atoms disintegrated in \[({{t}_{2}}-{{t}_{1}})\,sec=({{N}_{1}}-{{N}_{2}})=({{A}_{1}}-{{A}_{2}})T\]You need to login to perform this action.
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