Question

The velocity of an electron in the orbit of hydrogen atom is $5.47\times {10}^5$ m/s. Total number of waves formed by the electron in one complete revolution is: (give the answer in the nearest integer value)

Answer 1

We know, velocity (V) of an electron in an orbit of hydrogen atom or hydrogen like atom can be given by,
$V=2.188\times {10}^6\times \frac{Z}{n}$
$\Rightarrow 5.47\times {10}^5=2.188\times {10}^6\times \frac{1}{n}$
$\therefore n=\frac{2.188\times {10}^6\times 1}{5.47\times {10}^5}=4$
According to de Broglie, total number of waves made by an electron in one complete revolution =n = 4.