Statement I: If a charged particle is projected into a region where the magnetic field B is perpendicular to its velocity, the net force acting on the particle is independent of its mass. Statement II: The particle performs uniform circular motion, and the net force acting on it is mv²/r. Which of the following is correct?

PhysicsMediumHigh School (11–12)jee-main

The magnetic force on a moving charge is $F = qvB\sin\theta$ , which depends only on charge, speed, field strength, and angle — not on mass. This same force happens to supply the centripetal force $mv^2/r$ for the resulting circular motion, but writing it that way obscures the mass-independence rather than explaining it.

Statement I: If a charged particle is projected into a region where the magnetic field $B$ is perpendicular to its velocity, the net force acting on the particle is independent of its mass. Statement II: The particle performs uniform circular motion, and the net force acting on it is $\dfrac{mv^2}{r}$ . Which of the following is correct?

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← Statement I: A cyclotron is a device used to accelerate positively charged ions to high energies. Statement II: The cyclotron (resonance) frequency of a charged particle depends upon its speed. Which of the following is correct?Statement I: A charged particle moving with uniform velocity in a magnetic field may travel along the magnetic field lines without being deflected. Statement II: The magnetic force on a moving charged particle is always perpendicular to both its velocity and the magnetic field B. Which of the following is correct? →

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