Which of the following statements is true?

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(D) Option $(D)$ is correct.According to the Lorentz force law,the magnetic force acting on a charged particle is given by $\vec{F} = q(\vec{v} 	imes

Vedclass · Accepted Answer

There is no change in the energy of a charged particle moving in a magnetic field although a magnetic force is acting on it.

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(D) Option $(D)$ is correct.According to the Lorentz force law,the magnetic force acting on a charged particle is given by $\vec{F} = q(\vec{v} 	imes \vec{B})$.Since the magnetic force $\vec{F}$ is always perpendicular to the velocity vector $\vec{v}$,the work done by the magnetic force on the particle is $W = \int \vec{F} \cdot d\vec{r} = \int \vec{F} \cdot \vec{v} dt = 0$.According to the work-energy theorem,the change in kinetic energy is equal to the work done by the net force.Since the work done by the magnetic force is zero,the kinetic energy of the charged particle remains constant,even though a magnetic force acts on it.

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