A) \[\frac{1}{2\pi }\sqrt{\frac{({{k}_{1}}+{{k}_{2}})m}{{{k}_{1}}{{k}_{2}}}}\]
B) \[\frac{1}{2\pi }\sqrt{\frac{{{k}_{1}}{{k}_{2}}}{({{k}_{1}}+{{k}_{2}})m}}\]
C) \[\frac{1}{2\pi }\sqrt{\frac{k}{m}}\]
D) \[2\pi \sqrt{\frac{k}{m}}\]
Correct Answer: B
Solution :
Let at any instant the displacement of the body m from the equilibrium position is y. As force constants of both the springs are different the extensions in their lengths will also be different. Let extension in length of spring \[{{0}^{o}}C\] be \[({{T}^{o}}C)\] and that of \[E=AT-\frac{1}{2}B{{T}^{2}}\] be \[A=16,\,B=0.08\].ThenYou need to login to perform this action.
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