A uniform magnetic field B exists in a region. An electron of charge q and mass m moving with velocity v enters the region in a direction perpendicular to the magnetic field. Considering Bohr angular momentum quantization, which of the following statement(s) is/are true ?
1
The radius of nth orbit \(\mathrm{r}_{\mathrm{n}} \propto \sqrt{\mathrm{n}}\).
2
The minimum velocity of the electron is \(\frac{\sqrt{\mathrm{qB} \hbar}}{\mathrm{m}}\).
3
Energy of the nth level En ∞ n.
4
Transition frequency ω between two successive levels is independent of n.