One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to 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

Options

A. `2pi((m)/(k))^(1//2)`
B. `2pisqrt((m(YA+kL))/(YAk))`
C. `2pi[((mYA)/(kL))^(1//2)]`
D. `2pi[((mL)/(YA))^(1//2)]`

Answer

B