Which of the following statements are true?
$(A)$ The subsidiary quantum number $\ell$ describes the shape of the orbital occupied by the electron.
$(B)$ The image shows the boundary surface diagram of the $2p_x$ orbital.
$(C)$ The $+$ and $-$ signs in the wave function of the $2p_x$ orbital refer to charge.
$(D)$ The wave function of the $2p_x$ orbital is zero everywhere in the $yz$ plane.

  • A
    $(B)$ and $(D)$ only
  • B
    $(A)$,$(B)$ and $(C)$ only
  • C
    $(C)$ and $(D)$ only
  • D
    $(A)$ and $(B)$ only

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Which pair of atoms or ions will have the same electronic configuration?

The total number of unpaired electrons in $d$-orbitals of atoms of element of atomic number $29$ is

The electronic configuration $1s^2 2s^2 2p_x^1 2p_y^1 2p_z^1$ corresponds to which of the following elements?

Identify which of the following sets of quantum numbers are not possible and explain why.
$(a) n = 0, l = 0, m_l = 0, m_s = +1/2$
$(b) n = 1, l = 0, m_l = 0, m_s = -1/2$
$(c) n = 1, l = 1, m_l = 0, m_s = +1/2$
$(d) n = 2, l = 1, m_l = 0, m_s = -1/2$
$(e) n = 3, l = 3, m_l = 3, m_s = +1/2$
$(f) n = 3, l = 1, m_l = 0, m_s = +1/2$

The values of $n$ and $l$ for orbital $A$ are $3$ and $2$ respectively. The values of $n$ and $l$ for orbital $B$ are $5$ and $0$ respectively. Compare their energies.

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