A) \[T=2\pi \sqrt{\frac{m}{{{k}_{1}}-{{k}_{2}}}}\]
B) \[T=2\pi \sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}\]
C) \[T=2\pi \sqrt{\frac{m({{k}_{1}}+{{k}_{2}})}{{{k}_{1}}{{k}_{2}}}}\]
D) \[T=2\pi \sqrt{\frac{mg}{{{k}_{1}}+{{k}_{2}}}}\]
Correct Answer: A
Solution :
Resultant spring constant of the parallel combination \[k={{k}_{1}}+{{k}_{2}}\] \[\therefore \] Time period of oscillations \[T=2\pi \sqrt{\frac{m}{({{k}_{1}}+{{k}_{2}})}}\]You need to login to perform this action.
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