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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