Solveeit Logo

Question

Question: If the speed of electron in the Bohr's first orbit of hydrogen atom is x, the speed of the electron ...

If the speed of electron in the Bohr's first orbit of hydrogen atom is x, the speed of the electron in the third Bohr's orbit is

A

x/9

B

x/3

C

3x

D

9x

Answer

x/3

Explanation

Solution

According to Bohr's model for hydrogen and hydrogen like atoms the velocity of an electron in an atom is quantised and is given by v2πZe2nhv \propto \frac{2\pi Ze^{2}}{nh} so v1nv \propto \frac{1}{n} in this cass n=3n = 3