A) \[\sqrt{{{k}_{1}}{{k}_{2}}}\]
B) \[({{k}_{1}}+{{k}_{2}})/2\]
C) \[{{k}_{1}}+{{k}_{2}}\]
D) \[{{k}_{1}}{{k}_{2}}/({{k}_{1}}+{{k}_{2}})\]
Correct Answer: D
Solution :
In series combination \[\frac{1}{{{k}_{S}}}=\frac{1}{{{k}_{1}}}+\frac{1}{{{k}_{2}}}=\frac{{{k}_{2}}+{{k}_{1}}}{{{k}_{1}}{{k}_{2}}}\]\[\Rightarrow {{k}_{S}}=\frac{{{k}_{1}}{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}}\].
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