Q.

The energy of second Bohr orbit of hydrogen atom is -328kJ.mol-1 , hence energy of fourth Bohr orbit would be

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a

-82kJ.mol-1

b

-41kJ.mol-1

c

-1312kJ.mol-1

d

-164kJ.mol-1

answer is B.

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Detailed Solution

The energy of hydrogen atom in Bohr’s orbit is

En=-1312n2kJ.mol-1

For hydrogen atom, the ratio of energy between two different orbits is

E1E2=n22n12; Here E1 and E2 are the energies of the orbits of n1 and n2.Energy of Bohr’s second orbit ( n=2 ) is E2=-328kJ.mol-1.

Energy of Bohr’s fourth orbit ( n = 4 ) is E4=?

From the equation,

E1E2=n22n12; then E4E2=2242

E4=2242×E2=2242×-328kJ.mol-1

E4=-82kJ.mol-1

As we going away from nucleus magnitude of energy increases.

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