$A$ wheel with $10$ metallic spokes,each $0.5 \; m$ long,is rotated with a speed of $120 \; rev/min$ in a plane normal to the horizontal component of the Earth's magnetic field $H_{E}$ at a place. If $H_{E} = 0.4 \; G$ at the place,what is the induced $emf$ between the axle and the rim of the wheel? $(1 \; G = 10^{-4} \; T)$
- A$1.56 \times 10^{-4} \; V$
- B$9.42 \times 10^{-5} \; V$
- C$6.28 \times 10^{-5} \; V$
- D$3.14 \times 10^{-5} \; V$
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