A) \[{{K}_{1}}+{{K}_{2}}\]
B) \[{{K}_{1}}{{K}_{2}}/{{K}_{1}}+{{K}_{2}}\]
C) \[{{K}_{1}}-{{K}_{2}}\]
D) \[{{K}_{1}}{{K}_{2}}/{{K}_{1}}-{{K}_{2}}\]
Correct Answer: A
Solution :
When external force is applied, one spring gets extended and another one gets contracted by the same distance hence force due to two springs act in same direction. i.e. \[F={{F}_{1}}+{{F}_{2}}\]Þ \[-\,kx=-\,{{k}_{1}}x-{{k}_{2}}x\Rightarrow \]\[k={{k}_{1}}+{{k}_{2}}\]
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