A) \[{{\left( \frac{{{K}_{1}}+{{K}_{2}}}{m} \right)}^{\frac{1}{2}}}\]
B) \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{m({{K}_{1}}+{{K}_{2}})} \right]}^{\frac{1}{2}}}\]
C) \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{({{K}_{1}}-{{K}_{2}})m} \right]}^{\frac{1}{2}}}\]
D) \[{{\left[ \frac{K_{1}^{2}K_{2}^{2}}{({{K}_{1}}+{{K}_{2}})m} \right]}^{\frac{1}{2}}}\]
Correct Answer: A
Solution :
When springs are in parallel, then\[T=2\pi \sqrt{\frac{m}{{{K}_{1}}+{{K}_{2}}}}\Rightarrow \frac{2\pi }{T}=\omega =\sqrt{\frac{{{K}_{1}}+{{K}_{2}}}{m}}\]You need to login to perform this action.
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