A) \[\left| \ell n\left( \frac{2{{A}_{1}}}{{{A}_{2}}} \right) \right|\]
B) \[\ell n2\left| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right|\]
C) \[\left| \ell n\left( \frac{{{A}_{1}}}{2{{A}_{2}}} \right) \right|\]
D) \[\ell n2\left| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right|\]
Correct Answer: C
Solution :
[c] \[{{A}_{1}}=(\lambda {{N}_{0}}){{e}^{-\lambda {{t}_{1}}}}\] .....(i) \[{{A}_{2}}=(\lambda 2{{N}_{0}}){{e}^{-\lambda {{t}_{2}}}}\] ....(ii) \[{{t}_{1}}-{{t}_{2}}=\frac{1}{\lambda }\ell n\left( \frac{{{A}_{2}}}{2{{A}_{1}}} \right)=\ell n\left( \frac{{{A}_{2}}}{2{{A}_{1}}} \right)\]You need to login to perform this action.
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