In a Hydrogen Atom the Electron Moves In An Orbit of Radius 0.5 Ao Making 10 Revolutions Per Second | Bzziii

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

(i) 2.512 x `10^{-38}"Am"^{2}`
(ii) 1.256 x `10^{-38}"Am"^{2}`
(iii) 0.628 X `10^{-38}"Am"^{2}`
(iv) zero

(ii) 1.256 x `10^{-38}"Am"^{2}`

Explanation:

Given,

R = 0.5 A°

ω = 10 rps = 10 × 2π rad/s
v = 10 Hz
M = I A = evπ`r^{2}`

= `1.6\times10^{-19}\times10\times3.14\times0.5\times 10^{-10}\times 10^{-10}`

= `1.256\times 10^{-38} "Am"^{2}`

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CBSE Class 12 Physics Sample Paper-2022