The mass moment of inertia of the two rotors in a two rotor system are \(100 \mathrm{~kg} \cdot \mathrm{m}^{2}\) and \(10 \mathrm{~kg} \cdot \mathrm{m}^{2}\). The length of the shaft of uniform diameter between the rotors is \(110 \mathrm{~cm}\). The distance of node from the rotor of lower moment of inertia is

(a) \(80 \mathrm{~cm}\)

(b) \(90 \mathrm{~cm}\)

(c) \(100 \mathrm{~cm}\)

(d) \(110 \mathrm{~cm}\).