Forces exerted by a uniform electric field on an electron having mass me and proton of mass mp are represented as Fe and Fp respectively are related as

Question

Forces exerted by a uniform electric field on an electron having mass me and proton of mass mp are represented as Fe and Fp respectively are related as (A)  Fp=Fe  (B)  (Fe/Fp)=(me/mp)  (C)  (Fe/Fp)=(mp/me)  (D)  (Fe/Fp)=(me2/mp2)

Tardigrade Admin · Accepted Answer

The force (F) on charge q due to electric field strength E is F = q E Here, E is uniform, hence Fp = Fe

Q. Forces exerted by a uniform electric field on an electron having mass $m_{e}$ and proton of mass $m_{p}$ are represented as $F_{e}$ and $F_{p}$ respectively are related as

$F_{p} = F_{e}$

$\frac{F _{e}}{F _{p}} = \frac{m _{e}}{m _{p}}$

$\frac{F _{e}}{F _{p}} = \frac{m _{p}}{m _{e}}$

$\frac{F _{e}}{F _{p}} = \frac{m _{e}^{2}}{m _{p}^{2}}$

The force $(F)$ on charge $q$ due to electric field strength $E$ is
$F = qE$
Here, $E$ is uniform, hence
$F_{p} = F_{e}$

Q. Forces exerted by a uniform electric field on an electron having mass me​ and proton of mass mp​ are represented as Fe​ and Fp​ respectively are related as

Fp​=Fe​

Fp​Fe​​=mp​me​​

Fp​Fe​​=me​mp​​

Fp​Fe​​=mp2​me2​​

The force (F) on charge q due to electric field strength E is F=qE Here, E is uniform, hence Fp​=Fe​