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JEE Mains · Physics · STD 12 - 12. atoms

Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the \(2^{\text{nd}}\) and \(4^{\text{th}}\) orbits of hydrogen atom _______.

  1. A 8
  2. B 16
  3. C 32
  4. D 40
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Answer & Solution

Correct Answer

(C) 32

Step-by-step Solution

Detailed explanation

The magnetic field at the center of a circular orbit is given by \(B = \dfrac{\mu_0 I}{2r}\). The equivalent current due to the revolving electron is \(I = \dfrac{e}{T} = \dfrac{ev}{2\pi r}\). Substituting \(I\) into the expression for \(B\), we get…
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