A Pelton wheel is to be designed with following specifications:

Shaft power \(=10,000 \mathrm{~kW}\), Head \(=500 \mathrm{~m}\), Speed \(=500 \mathrm{rpm}\), Overall efficiency \(=85 \%\), jet diameter is one-tenth of wheel diameter. Determine: (i) the wheel diameter, (ii) the number of jets required, and (iii) diameter of the jet. Assume \(\mathrm{Cv}=0.98\) and \(\mathrm{Cu}=0.46\).