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
$k\,\,\frac{{{e^2}}}{{{r^2}}}\,\,\hat r$
$ - k\,\,\frac{{{e^2}}}{{{r^3}}}\,\,\hat r$
$k\,\,\frac{{{e^2}}}{{{r^3}}}\,\,\hat r$
$ - k\,\,\frac{{{e^2}}}{{{r^3}}}\,_r^ \to $
In an atom for the electron to revolve around the nucleus, the necessary centripetal force is obtained from the following force exerted by the nucleus on the electron
Ratio of longest wave lengths corresponding to Lyman and Balmer series in hydrogen spectrum is
In a hydrogen atom, the electron is in $n^{th}$ excited state. It may come down to second excited state by emitting ten different wavelengths. What is the value of $n$ :
An alpha nucleus of energy $\frac{1}{2}mv^2$ bombards a heavy nuclear target of charge $Ze.$ Then the distance of closest approach for the alpha nucleus will be proportional to