A proton and an alpha - particle (with their | vedclass

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Question

${{	ext{m}}_p} = {	ext{m}}$               ${{	ext{q}}_{	ext{p}}} = {	ext{q}}$

Vedclass · Accepted Answer

$1: \sqrt 2$

Vedclass · Answer

${{	ext{m}}_p} = {	ext{m}}$               ${{	ext{q}}_{	ext{p}}} = {	ext{q}}$               ${{	ext{k}}_{	ext{p}}} = {	ext{qV}} = {	ext{k}}$

${{	ext{m}}_\alpha } = {	ext{4m}}$               ${q_\alpha } = 2q$               ${k_\alpha } = 2qV = 2k$

Radius of circular path,

$r=\frac{m v}{q B}=\frac{\sqrt{2 k m}}{q B}$

$ \Rightarrow $ $\frac{{{r_p}}}{{{r_\alpha }}} = \frac{1}{{\sqrt 2 }}$

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