Asked in MDCAT Test Series 16 — Electromagnetism, Induction and Atomic Spectra (18 March 2025) 2025Moderate

An α-particle, a deuteron, and a proton are moving with the same momentum in a uniform magnetic field. The ratio of their speeds will be:

Correct answer: A. 1:2:4

  • A. 1:2:4
  • B. 4:2:1
  • C. 1:1:1
  • D. 2:2:4

Explanation

p = mv, p = constant. Charge on proton, deuteron, and α-particle is +e, +e, and +2e respectively.

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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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