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Question

Physics Question on Magnetic properties of materials

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?

A

The radius of n^m orbit rnr_nn\sqrt n

B

The minimum velocity of the electron is qBm\sqrt{\frac{qBℏ}{m}}

C

The energy of the nth level En∞n

D

Transition frequency ω between two successive levels is independent of n.

Answer

The radius of n^m orbit rnr_nn\sqrt n

Explanation

Solution

The correct answer is/are option(s):
(A): The radius of n^m orbit rnr_nn\sqrt n
(B): The minimum velocity of the electron is qBm\sqrt{\frac{qBℏ}{m}}
(C): The energy of the nth level En∞n
(D): Transition frequency ω between two successive levels is independent of n.