A) \[k=\frac{{{k}_{1}}+{{k}_{2}}}{{{k}_{1}}{{k}_{2}}}\]
B) \[k=\frac{{{k}_{1}}-{{k}_{2}}}{{{k}_{1}}{{k}_{2}}}\]
C) \[k=\frac{{{k}_{1}}{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}}\]
D) \[k=\frac{{{k}_{1}}{{k}_{2}}}{{{k}_{1}}-{{k}_{2}}}\]
Correct Answer: C
Solution :
In series, resultant force constant is given as \[\frac{1}{{{k}_{eq}}}=\frac{1}{{{k}_{1}}}+\frac{1}{{{k}_{2}}}\] \[\Rightarrow \] \[{{k}_{eq}}=\frac{{{k}_{1}}{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}}\]You need to login to perform this action.
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