One end of a long metallic wire of length $L$ is tied to the ceiling. The other end is tied to a massless spring of spring constant $K$. $A$ mass $m$ hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are $A$ and $Y$ respectively. If the mass is slightly pulled down and released,it will oscillate with a time period $T$ equal to
- A$2\pi \sqrt{\frac{m}{K}}$
- B$2\pi \sqrt{\frac{(YA + KL)m}{YAK}}$
- C$2\pi \frac{mYA}{KL}$
- D$2\pi \frac{mL}{YA}$
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