\(100 \mathrm{~kW}\) power is supplied to the machine through a gear box which uses an epicyclic gear train. The power is supplied at \(100 \mathrm{rad} / \mathrm{s}\). The speed of the output shaft of the gear box is \(10 \mathrm{rad} / \mathrm{s}\) in a sense opposite to the input speed. What is the holding torque on the fixed gear of the train?

(a) \(8 \mathrm{kNm}\)

(b) \(9 \mathrm{kNm}\)

(c) \(10 \mathrm{kNm}\)

(d) \(11 \mathrm{kNm}\).