An electron in a hydrogen atom is moving in a circular orbit of radius with a speed of

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

An electron in a hydrogen atom is moving in a circular orbit of radius

4.76\times10^{-10}\,\text{m}

with a speed of

7.30\times10^{5}\,\text{m s}^{-1}

. Take

m_e = 9.1\times10^{-31}\,\text{kg}

and

\hbar = 1.05\times10^{-34}\,\text{J s}

. Find the principal quantum number

n

of this orbit. (a)

1

(b)

3

(c)

6

(d)

9