A 10 eV electron moves in a plane perpendicular to a uniform magnetic induction of 10⁻⁴ Wb/m² (1 gauss). Calculate the radius of its circular path.
Options

Question

A 10 eV electron moves in a plane perpendicular to a uniform magnetic induction of 10⁻⁴ Wb/m² (1 gauss). Calculate the radius of its circular path.

G1 Physics · Accepted Answer

Step 1: For circular motion in uniform transverse B, kinetic energy K=(1/2)mv² and r=mv/(eB). Step 2: Eliminate v: r=√(2mK)/(eB). Convert K from eV to joules. Step 3: Source lists r≈1cm (option C), but the OCR of B is corrupted; verify the magnetic-field magnitude before accepting the numerical result. Final answer: (C) 11 cm.