Concepts Of Physics MCQ Edition [Volume 2]PhysicsMagnetic Field
Which of the following particles will exhibit the minimum frequency of revolution when projected with identical velocities perpendicular to a magnetic field?
Options
- AElectron
- BLi ^+
- CProton
- DHe ^+
Correct answer
B. Li ^+
Step-by-step solution
The frequency of revolution of a charged particle in a uniform magnetic field is given by f = qB 2 m . This shows that the frequency is independent of the velocity of the particle and is directly proportional to its specific charge q m . Let us compare the specific charge q m for the given particles: For an electron, q m = e m_e For a proton, q m = e m_p For He ^+ , q m = e 4m_p For Li ^+ , q m = e 7m_p Since Li ^+ has the largest mass among the given ions with the same magnitude of charge e , it has the minimum va