A charged particle moves in a circle of radius 2 cm in a 1 T magnetic …

Question

A charged particle moves in a circle of radius 2 cm in a 1 T magnetic field with speed 4 × 10⁶ m/s. Mass-to-charge ratio m/q:

Accepted Answer

A. 5 × 10⁻⁹ kg/C

r = mv/(qB). So m/q = rB/v = (0.02)(1)/(4 × 10⁶) = 5 × 10⁻⁹ kg/C. For comparison, electron m/e ≈ 5.7 × 10⁻¹² kg/C (much smaller, meaning electron mass is light).

Answer

5 × 10⁻⁸ kg/C

Answer

2.5 × 10⁻⁸ kg/C

Answer

8 × 10⁻⁹ kg/C