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An electron is moving in an orbit around the nucleus in an atom. Let m , b orbital magnetic moment and L be angular momentum of the electron, then

Options

  1. Am and L are in opposite direction perpendicular to the plane of orbit.
  2. Bm and L are in opposite direction parallel to the plane of orbit.
  3. Cm and L are in the same direction perpendicular to the plane of the orbit.
  4. Dm and L are in the same direction parallel to plane of the orbit.

Correct answer

A. m and L are in opposite direction perpendicular to the plane of orbit.

Step-by-step solution

Consider the following diagram: The magnetic moment due to the movement of electron is given by, m =i A The direction of magnetic moment will be into the paper, using the right hand curl rule. The angular momentum of electron is given by, L = r p We know p is along u as shown in the figure, then L =m r u The direction of angular momentum of the electron will be out of the plane of the paper.

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