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(D) The magnetic Lorentz force on a charged particle moving with velocity $\vec{v}$ in a magnetic field $\vec{B}$ is given by $\vec{F} = q(\vec{v} 	i

Vedclass · Accepted Answer

Both $(B)$ and $(C)$

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(D) The magnetic Lorentz force on a charged particle moving with velocity $\vec{v}$ in a magnetic field $\vec{B}$ is given by $\vec{F} = q(\vec{v} 	imes \vec{B})$.Statement $(A)$ is false because if the initial velocity is zero,the magnetic force $\vec{F} = q(0 	imes \vec{B}) = 0$. Thus,it does not accelerate.Statement $(B)$ is true because the magnetic force is the cross product of $\vec{v}$ and $\vec{B}$,which is always perpendicular to both $\vec{v}$ and $\vec{B}$.Statement $(C)$ is true because the force magnitude is $F = qvB \sin 	heta$,where $	heta$ is the angle between $\vec{v}$ and $\vec{B}$. This is equivalent to $F = qv(B \sin 	heta)$,where $B \sin 	heta$ is the component of the magnetic field perpendicular to the velocity.Therefore,both $(B)$ and $(C)$ are correct.

Consider the following statements regarding a charged particle in a magnetic field. Which of the statements are true?

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