Figure shows a conducting disc rotating about its axis in a perpendicular uniform and constant m...

Figure shows a conducting disc rotating about its axis in a perpendicular uniform and constant magnetic field \( B \). A resistor of resistance \( R \) is connected between the centre and the rim. The radius of the disc is \( 5.0 \mathrm{~cm} \), angular speed \( \omega=40 \mathrm{rad} / \mathrm{s}, B=0.10 \mathrm{~T} \) and \( R=1 \Omega \). The current through the resistor is
(a) \( 5 \mathrm{~mA} \)
(b) \( 50 \mathrm{~A} \)
(c) \( 5 \mathrm{~A} \)
(d) \( 10 \mathrm{~mA} \)