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(B) The maximum value of the magnetic quantum number $(m_l)$ is given as $+3$. For a given azimuthal quantum number $(l)$,the range of $m_l$ is $-l$ t

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$4$

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(B) The maximum value of the magnetic quantum number $(m_l)$ is given as $+3$. For a given azimuthal quantum number $(l)$,the range of $m_l$ is $-l$ to $+l$. Since the maximum value of $m_l = 3$,the value of $l$ must be $3$ (which corresponds to an $f$-orbital). The principal quantum number $(n)$ is related to $l$ by the condition $n > l$. For the first orbital where $l = 3$,the principal quantum number is $n = 4$. The number of waves made by an electron in an orbit is equal to the principal quantum number $(n)$. Therefore,the number of waves is $4$.

The number of waves made by an electron moving in an orbit having a maximum magnetic quantum number $(m_l) = +3$ is:

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