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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3as051

For the electron of $Li X^{2 +}$ in its ground state (Bohr model, use $13.6 eV$ for hydrogen), select the correct statements.

AThe kinetic energy is $+ 122.4 eV$
BThe potential energy is $- 244.8 eV$
CThe total energy is $- 61.2 eV$
DThe energy needed to remove the electron completely is $122.4 eV$

Answer: A, B, D

E_{t o t a l}

= -13.6

Z^{2}

= -13.6 x 9 = -122.4 eV. In the Bohr model KE =

- E_{t o t a l}

= +122.4 eV and PE =

2 E_{t o t a l}

= -244.8 eV. The ionisation energy equals

∣ E_{t o t a l} ∣

= 122.4 eV. The total energy is -122.4 eV, so the value -61.2 eV is wrong.

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