Question

In a hydrogen atom the electron moves in an orbit of radius 0.5 A° making 10 revolutions per second, the magnetic moment associated with the orbital motion of the electron will be ______.

Options

• 2.512 × 10^-38 Am²

• 1.256 × 10^-38 Am²

• 0.628 × 10^-38 Am²

• zero

Answer 1

In a hydrogen atom the electron moves in an orbit of radius 0.5 A° making 10 revolutions per second, the magnetic moment associated with the orbital motion of the electron will be 1.256 × 10^-38 Am².

Explanation:

R = 0.5 A°

ω = 10 rsp = 10 × 2π rad/s

v = 10 Hz

M = IA = e v π r²

= 1.6 × 10^-19 × 10 × 3.14 × 0.5 × 0.5 × 10^-10 × 10^-10

= 1.256 × 10^-38 Am²