Q.

The ground state energy of hydrogen atom is – 13.6 eV. Consider an electronic state Y of He+ whose 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 from the state Y?

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a

It is a 4d state

b

It has 3 radial nodes

c

It has 2 angular nodes

d

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

answer is A.

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Detailed Solution

E=−13.6×22n2=−3.413.6×22n2=3.4n2=42      ⇒n=4Wave function corresponds to ψ4,2,0 4dz2 - orbital which has only one radial nodes and two angular nodes. It experiences nuclear change of 2 electron  units.
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The ground state energy of hydrogen atom is – 13.6 eV. Consider an electronic state Y of He+ whose 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 from the state Y?