There is a constant homogeneous electric field of 100 V m–1 within the region x = 0 and x = 0.167 m pointing in x-direction. There is a constant homogeneous magnetic field B within the region x = 0.167 m and x = 0.334 m pointing in the z-direction. A proton at rest at the origin is released in positive x-direction. Find the minimum strength of the magnetic field B (in T), so that the proton is detected back at x = 0, y = 0.167 m. (mass of proton = 1.67 × 10–27 kg)
(a) 3.34 × 10–9
(b) 1.25 × 10–8
(c) 7.07 × 10–3
(d) 9.11 × 10–5