A) \[\left( m+n \right)\]
B) \[\left( n-m \right)\]
C) \[{{2}^{\left( n+m \right)}}\]
D) \[\frac{1}{{{2}^{\left( m+n \right)}}}\]
Correct Answer: C
Solution :
[c] \[Rat{{e}_{1}}=k{{[A]}^{n}}{{[B]}^{m}};\,\,Rat{{e}_{2}}=k{{[2A]}^{n}}{{[{\scriptstyle{}^{1}/{}_{2}}B]}^{m}}\] \[\therefore \frac{Rat{{e}_{2}}}{Rat{{e}_{1}}}=\frac{k{{[2A]}^{n}}{{[{\scriptstyle{}^{1}/{}_{2}}B]}^{m}}}{k{{[A]}^{n}}{{[B]}^{m}}}\] \[={{[2]}^{n}}{{[{\scriptstyle{}^{1}/{}_{2}}]}^{m}}={{2}^{n}}.\,{{2}^{-m}}={{2}^{n-m}}\]
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