A uniform magnetic field vec B,, = ,,{B_0},hat{j} exists in a space. A particle of mass m and charge

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4.Moving Charges and Magnetism

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A uniform magnetic field $\vec B\,\, = \,\,{B_0}\,\hat j$ exists in a space. A particle of mass $m$ and charge $q$ is projected towards negative $x$-axis with speed $v$ from the a point $(d, 0, 0)$. The maximum value $v$ for which the particle does not hit $y-z$ plane is

A

$\frac{{2Bq}}{{dm}}$

B

$\frac{{Bqd}}{m}$

C

$\frac{{Bq}}{{2dm}}$

D

$\frac{{Bqd}}{{2m}}$

Solution

$R \leq d \Rightarrow \frac{m V}{q B} \leq d$

$V \leq \frac{B q d}{m} \Rightarrow V_{\max }=\frac{B q d}{m}$

Standard 12

Physics

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