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The orbital with maximum energy is

The maximum number of electrons in a subshell is given by the expression:

When the value of azimuthal quantum number is $l = 3$,the magnetic quantum number $m_l$ can have values:

Which of the following are correct?
$(1)$ Electron density in $XY$ plane for $d_{x^2-y^2}$ orbital is zero.
$(2)$ The energy of $3p$-orbital is higher than the energy of $2p$-orbital.
$(3)$ $3p_z$-orbital has one angular node.
$(4)$ $4f$-orbital has no radial node.

The number of atomic orbitals from the following having $5$ radial nodes is $.......$. $7s, 7p, 6s, 8p, 8d$

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