$A$ wire of length $L$,cross-sectional area $A$,and Young's modulus $Y$ is suspended,and a spring of force constant $k$ is attached to its lower end. If a mass $m$ is suspended from the spring and set into oscillations,what will be the time period of the system?
- A$2\pi \sqrt{\frac{m}{k}}$
- B$2\pi \sqrt{\frac{mYA}{kL}}$
- C$2\pi \sqrt{\frac{mk}{YA}}$
- D$2\pi \sqrt{\frac{m(kL + YA)}{kYA}}$
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