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Calculate Ionisation Energy for this Atom, If the Ground State Energy is -13.6 Ev - Physics

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An electron is orbiting in 5th Bohr orbit. Calculate ionisation energy for this atom, if the ground state energy is -13.6 eV.

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Solution

Ground state energy E1 = −13.6 eV

E5 = ?

Energy of electron in Bohr’s orbit is inversely proportional to the square of the principal quantum number.

`therefore"E"_5/"E"_1="n"_1^2/"n"_5^2`

`therefore"E"_5/"E"_1=1^2/5^2`

`therefore"E"_5=(-13.6)/25=-0.544"eV"`

The ionization energy = E - E5 = 0 − (−0.544) = 0.544 eV

Hence, the ionization energy in the 5th orbit is 0.544 eV.

Concept: Bohr’s Model for Hydrogen Atom
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