Which one of the following relations is TRUE?

Question

The principal stresses at a point inside a solid object are s₁ = 100 MPa, s₂ = 100 MPa and s₃ = 0 MPa. The yield strength of the material is 200 MPa. The yield strength of the material is 200 MPa. The factor of safety calculated using Tresca (maximum shear stress) theory is n_T and the factor of safety calculated using Von Mises (maximum distortional energy) theory is n_v. Which one of the following relations is TRUE?             

        (a) $n_{T}=\left ( \frac{\sqrt{3}}{2} \right )n_{v}$                                                                    (b) n_T = $\left ( \sqrt{3} \right )$ n_v

         (c) n_T = n_v                                                                                      (d) n_v = $\left ( \sqrt{3} \right )$n_T