At t = 0,a charge q is at the origin and movi | vedclass

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

Question

(A) $1$. For $y > 0$,the magnetic field is $\vec{B}_1 = B_1\hat{k}$ (out of the page). The velocity is $\vec{v} = v\hat{j}$. The magnetic force is $\v

Vedclass · Accepted Answer

$q > 0$ and $|B_1| < |B_2|$

Vedclass · Answer

(A) $1$. For $y > 0$,the magnetic field is $\vec{B}_1 = B_1\hat{k}$ (out of the page). The velocity is $\vec{v} = v\hat{j}$. The magnetic force is $\vec{F}_m = q(\vec{v} 	imes \vec{B}_1) = q(v\hat{j} 	imes B_1\hat{k}) = qvB_1\hat{i}$.$2$. From the diagram,the particle curves towards the positive $x$-axis for $y > 0$,meaning the force is in the $+\hat{i}$ direction. Since $v, B_1 > 0$,$q$ must be positive $(q > 0)$.$3$. The radius of the circular path is given by $R = \frac{mv}{qB}$. The radius $R_1$ in the region $y > 0$ is $R_1 = \frac{mv}{qB_1}$ and the radius $R_2$ in the region $y $4$. Looking at the trajectory,the path in the $y  0$ region,implying $R_2 $5$. Since $R_2  B_1$,or $|B_1| < |B_2|$.

Similar Questions

$A$ uniform magnetic field $B$ is acting from south to north and is of magnitude $1.5 \ Wb/m^2$. If a proton having mass $m = 1.7 \times 10^{-27} \ kg$ and charge $q = 1.6 \times 10^{-19} \ C$ moves in this field vertically downwards with energy $5 \ MeV$,then the force acting on it will be

Work done by a magnetic field of $1\,T$ on a particle of charge $1\,C$ moving with a speed of $5\,m/s$ in one second is........$J$.

The following figure shows the path of an electron that passes through two regions containing uniform magnetic fields of magnitudes $B_1$ and $B_2$. Its path in each region is a half-circle. Choose the correct option.

$A$ particle of charge $e$ and mass $m$ moves with a velocity $v$ in a magnetic field $B$ applied perpendicular to the motion of the particle. The radius $r$ of its path in the field is

An electron moving with a speed $u$ along the positive $x$-axis at $y = 0$ enters a region of uniform magnetic field $\overrightarrow B = -B_0 \hat k$ which exists to the right of the $y$-axis. The electron exits from the region after some time with the speed $v$ at coordinate $y$,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module