If the velocity of an electron is (2 hat{i} + | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The magnetic force on a moving charge is given by $\vec{F} = q(\vec{v} 	imes \vec{B})$.Given $\vec{v} = (2 \hat{i} + 3 \hat{j}) 	ext{ m s}^{-1}$

Vedclass · Accepted Answer

the direction of its velocity will change.

Vedclass · Answer

(D) The magnetic force on a moving charge is given by $\vec{F} = q(\vec{v} 	imes \vec{B})$.Given $\vec{v} = (2 \hat{i} + 3 \hat{j}) 	ext{ m s}^{-1}$ and $\vec{B} = 4 \hat{k} 	ext{ T}$.Since $\vec{v}$ lies in the $xy$-plane and $\vec{B}$ is along the $z$-axis,the velocity vector is perpendicular to the magnetic field $(\vec{v} \perp \vec{B})$.The magnetic force $\vec{F}$ acts perpendicular to both $\vec{v}$ and $\vec{B}$.Because the magnetic force is always perpendicular to the velocity,it does no work on the electron,meaning the speed (kinetic energy) remains constant.However,the force causes a change in the direction of the velocity,resulting in circular motion.Therefore,the direction of its velocity will change.

If the velocity of an electron is $(2 \hat{i} + 3 \hat{j}) \text{ m s}^{-1}$ and it enters a magnetic field of $4 \hat{k} \text{ T}$,then . . . . . . .

Similar Questions

$A$ charge moving with velocity $v$ in $X$-direction is subjected to a field of magnetic induction in the negative $X$-direction. As a result,the charge will

An electron is moving in the north direction. It experiences a force in the vertically upward direction. The magnetic field at the position of the electron is in the direction of

An electron (mass $m$) is accelerated through a potential difference of $V$ and then it enters a magnetic field of induction $B$ normal to the field lines. The radius of the circular path is ($e$ = electronic charge).

$A$ charged particle is moving in a uniform magnetic field in a circular path with radius $R$. When the energy of the particle is doubled,then the new radius will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module