A) \[f/2\]
B) \[\sqrt{2f}\]
C) \[f/\sqrt{2}\]
D) \[2\sqrt{2f}\]
Correct Answer: B
Solution :
Key Idea: The system executes SHM. The frequency of oscillation of spring mass system is given by \[f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\] For the given arrangement \[k={{k}_{1}}+{{k}_{2}}=k+k=2k\] Hence, frequency of oscillation is \[f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\] \[\Rightarrow \] \[f=\frac{1}{2\pi }\sqrt{\frac{2k}{m}}=\sqrt{2}f\]
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