A) \[R(T)=\frac{{{R}_{0}}}{{{T}^{2}}}\]
B) \[R(T)={{R}_{0}}{{e}^{-{{T}^{2}}/T_{0}^{2}}}\]
C) \[R(T)={{R}_{0}}{{e}^{-T_{0}^{2}/T_{{}}^{2}}}\]
D) \[R(T)={{R}_{0}}{{e}^{T_{{}}^{2}/T_{0}^{2}}}\]
Correct Answer: C
Solution :
\[\frac{\frac{1}{{{T}^{2}}}}{\frac{1}{T_{0}^{2}}}+\frac{\ell n(T)}{\ell nR({{T}_{0}})}=1\] \[\Rightarrow \ell nR(T)=[\ell nR({{T}_{0}})]\left( 1-\frac{T_{0}^{2}}{{{T}^{2}}} \right)\] \[\Rightarrow R(T)={{R}_{0}}{{e}^{\left( -\frac{T_{0}^{2}}{{{T}^{2}}} \right)}}\]You need to login to perform this action.
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