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MHT CET2009PhysicsAtomic Physics

In a hydrogen atom, the electron is making 6.6 10¹⁵ revs ⁻¹ around the nucleus in an orbit of radius 0.528 ~A . The magnetic moment ( A - m ² ) will be

Options

  1. A1 10⁻¹⁵
  2. B1 10⁻¹⁰
  3. C1 10⁻²³
  4. D1 10⁻²⁷

Correct answer

C. 1 10⁻²³

Step-by-step solution

Current, I=6.6 10¹⁵ 1.6 10⁻¹⁹=10.5 10⁻⁴ ~A . Area A= R²=3.142 (0.528)² 10⁻²⁰ ~m ² So, Magnetic moment M=I A=10.5 10⁻⁴ 3.142 aligned (0.528)² 10⁻²⁰ & =& 10 10⁻²⁴=10⁻²³ units aligned

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