A) \[({{R}_{1}}{{T}_{1}}-{{R}_{2}}{{T}_{2}})\]
B) \[({{R}_{1}}-{{R}_{2}})\]
C) \[({{R}_{1}}-{{R}_{2}})/T\]
D) \[({{R}_{1}}-{{R}_{2}})\times T\]
Correct Answer: D
Solution :
\[1.\,\lambda =\frac{0.693}{{{t}^{1/2}}}\] 2. \[R=\lambda {{N}_{t}}\] Radioactivity at \[{{T}_{1}}\] is \[{{R}_{1}}=\lambda {{N}_{1}},\] Radioactivity at \[{{T}_{2}}\] is \[{{R}_{2}}=\lambda {{N}_{2}}\] \[\therefore \]Number of atoms decayed in time \[({{T}_{1}}-{{T}_{2}})=({{N}_{1}}-{{N}_{2}})\] or \[\frac{{{R}_{1}}-{{R}_{2}}}{\lambda }=\frac{({{R}_{1}}-{{R}_{2}})T}{0.693}\]i.e., \[\alpha ({{R}_{1}}-{{R}_{2}})T\]You need to login to perform this action.
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