An energy of 68.0 eV is required to excite a electron in hydrogen like atom from its second Bohr orbit to third. The nuclear charge is Ze. Given that e = 1.6 × 10 –19 coulomb, m = 9.1 × 10 –31 kg, 
= 36 π × 10 9 V-m /A-s, h = 6.6 × 10 –34 J-s, c =3 × 10 8 m/s.
(i) The value of atomic number Z is given by:
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(i)
Sol. Total energy of the hydrogen like atom (atomic number Z) in the nth Bohr obit is:
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