A) \[\frac{Mg}{{{K}_{1}}+{{K}_{2}}}\]
B) \[\frac{Mg\,({{K}_{1}}+{{K}_{2}})}{{{K}_{1}}{{K}_{2}}}\]
C) \[\frac{Mg\,{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}}\]
D) \[\frac{{{K}_{1}}+{{K}_{2}}}{{{K}_{1}}{{K}_{2}}Mg}\]
Correct Answer: B
Solution :
For series combination \[{{k}_{eq}}=\frac{{{k}_{1}}{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}}\] \[F={{k}_{eq}}x\Rightarrow mg=\left( \frac{{{k}_{1}}{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}} \right)x\]\[\Rightarrow x=\frac{mg({{k}_{1}}+{{k}_{2}})}{{{k}_{1}}{{k}_{2}}}\]You need to login to perform this action.
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