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

Q. In a hydrogen atom the electron moves in an orbit of radius 0.5 A^o making 10 revolutions per second, the magnetic moment associated with the orbital motion of the electron will be
(i) 2.512 x 10^-38 Am²
(ii) 1.256 x 10^-38 Am²
(iii) 0.628 X 10^-38 Am²
(iv) zero

Answer: (ii) 1.256 x 10^-38 Am²

R = 0.5 A°

ω = 10 rps = 10 × 2π rad/s

v = 10 Hz

M = I A = evπ r²

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

= 1.256 x 10^-38 Am²