12.Atoms
normal

An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius $r$. The Coulomb force $\vec{F}$ between the two is

A

$k\,\,\frac{{{e^2}}}{{{r^2}}}\,\,\hat r$

B

$ - k\,\,\frac{{{e^2}}}{{{r^3}}}\,\,\hat r$

C

$k\,\,\frac{{{e^2}}}{{{r^3}}}\,\,\hat r$

D

$ - k\,\,\frac{{{e^2}}}{{{r^3}}}\,_r^ \to $

Solution

હાઇડ્રોજન પરમાણુના ન્યુક્લિયસનો વિધુતતભાર $q_1 = +e  $

ઇલેકટ્રૉનનો વિધુતભાર $q_2 = -e$

કુલબ બળ   $ = \,\,_{\text{K}}^ \to \,\, = \,\,\frac{{k{q_1}{q_2}}}{{{r^2}}}\,\,\hat r\,\,$

$= \,\,\frac{{k\,\,\left( e \right)\,\,\left( { – e} \right)}}{{{r^2}}}\,\,\hat r\,\, = \,\, – \frac{{k{e^2}}}{{{r^3}}}\,\,_r^ \to $

Standard 12
Physics

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