Question

An electron is moving in an orbit of
circumference 14.92 A in Het. What is the
maximum number of electrons that can be
accommodated in the same orbit?
(A)8
(B) 32
(C) 18
(D) 72​

Answer 1

Answer:

The expression for the angular momentum is mvr=

2π

nh

, or 2πr=

mv

nh

......(i)

The wavelength is given by the De Broglie's equation.

λ=

mv

m

.....(ii)

From (i) and (ii), we have

2πr=nλ

Hence, the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie's wavelength associated with the electron revolving around the orbit.