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Question

The energy of second Bohr orbit of the hydrogen atom is 328 kJ mol1; hence the energy of fourth Bohr orbit would be

A
41 kJ mol1
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B
1312 kJ mol1
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C
164 kJ mol1
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D
82 kJ mol1
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Solution

The correct option is D 82 kJ mol1
From Bohr's theory, if an electron of an hydrogen atom, orbits in orbit n with energy En, then, En1n2
Since, Z = 1 for H-atom
So,
Ratio of energies for 2nd orbit (n2=2) and 4th orbit (n4=4) is,
E2E4=n24n22=41
E4=E24=82 KJ mol1

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