The ground state energy of hydrogen atom is -13.6 eV. Consider an electronic state $ψ$ of $H e^{\oplus}$ whose total energy, azimuthal quantum number and magnetic quantum number are -3.4 eV, 2 and 0, respectively.
Which of the following statement(s) is (are) true the state $ψ$ .

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It is a 4d state

It has 3 radial nodes

The nuclear charge experienced by the electron in this state is less than 2e, where e is the magnitude of the electronic charge

It has 2 angular node

answer is A, B.

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Detailed Solution

$- 3.4 = \frac{- 13.6 \times 2^{2}}{n^{2}}$

$n = 4, l = 2$

Subshell =4d

Angular nodes = $l = 2$

Radial nodes = $n - l - 1 = 4 - 2 - 1 = 1$

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