AP EAMCET20224 Jul 2022Morning ShiftPhysicsMagnetic Effects of CurrentActual
Two electrons, e 1 and e 2 of mass m and charge q are injected into the perpendicular direction of the magnetic field B such that the kinetic energy of e 1 is double than that of e 2 . The relation of their frequencies of rotation, f 1 and f 2 is
Options
- Af 1 = f 2
- Bf 1 = 2 f 2
- C2 f 1 = f 2
- D4 f 1 = f 2
Correct answer
A. f 1 = f 2
Step-by-step solution
As elocity of particles are perpendicular to the magnetic field, thus the particles moves in a circle. The centripetal force is experienced by electron is q v B . So, m v 2 r = q v B ⇒ m v r = q B ⇒ m ω = q B ⇒ ω = q B m Frequency is given by f = q B 2 π m . As frequency is independent of kinetic energy, so f 1 = f 2 .