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The number of waves made by an electron moving in an orbit having maximum magnetic quantum number is +3

  • A.4
  • B.5
  • C.2
  • D.Zero

Answer: A

The electron makes 4 waves.

A magnetic quantum number of \(m_l=+3\) requires \(l\ge 3\), and since \(l\) can be at most \(n-1\), the smallest possible principal quantum number is \(n=4\).

De Broglie's condition for a stable orbit is \[2\pi r = n\lambda\] so the number of complete waves in the orbit equals \(n\), giving 4.

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