Due to the magnetic force, a positively charged particle executes uniform circular motion within a uniform magnetic field 'B'. If the charge is 'q' and radius of its path is r, which of the expressions gives the magnitude of the particle's linear momentum:
Correct answer: A. qBr
- A. qBr
- B. qB/r
- C. q/(Br)
- D. B
Explanation
Here the centripetal force will balance the magnetic force. So, mv2/r=qvB or mv=qBr Thus, linear momentum, p=mv=qBr
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About Charged Particle in a Magnetic Field
A charged particle moving through a magnetic field experiences the Lorentz force, which is perpendicular to both its velocity and the field. The motion may be circular or helical, with questions involving radius, angular frequency, time period, and work done. A stationary charge feels no magnetic force.
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