Which particle will have a minimum frequency of revolution when projected with the same velocity and perpendicular to a magnetic field?

Question

Which particle will have a minimum frequency of revolution when projected with the same velocity and perpendicular to a magnetic field? (A) Li+ (B) Electron (C) Proton (D) He+

Tardigrade Admin · Accepted Answer

Since, we know, Frequency, upsilon=(q B/2 π m) upsilon; propto (q/m) In the given particles, (q/m) is a minimum for Li+. ∴ Li+ will have the minimum frequency.

Q. Which particle will have a minimum frequency of revolution when projected with the same velocity and perpendicular to a magnetic field?

$L i^{+}$

Electron

Proton

$H e^{+}$

Since, we know,
Frequency, $υ = \frac{qB}{2 πm} υ; \propto \frac{q}{m}$
In the given particles,
$\frac{q}{m}$ is a minimum for $L i^{+} .$
$∴ L i^{+}$ will have the minimum frequency.