Test Academy | One end of a long metallic wire of length L, area of cross-section A and Young’s modulus Y is tied to the ceiling. The other end is tied to a massless spring of force constant k. A mass m hangs freely from the free end of the spring. It is slightly pulled down and released. Its time period is given by 2π √(m/K), 2π √(mYA/KL), 2π √(mK/YA), 2π √{m(KL+YA)/KYA}

Question

One end of a long metallic wire of length L, area of cross-section A and Young’s modulus Y is tied to the ceiling. The other end is tied to a massless spring of force constant k. A mass m hangs freely from the free end of the spring. It is slightly pulled down and released. Its time period is given by

Options :

2π √(m/K)
2π √(mYA/KL)
2π √(mK/YA)
2π √{m(KL+YA)/KYA}

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