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Match the following
Column I Column II
A. Energy of electron in ground state of He⁺ (i) – 6.04 eV
B. Potential energy of electron in of 1^st orbit of H-atom (ii) – 27. 2 eV
C. Kinetic energy of electron in 2^nd excited state of He⁺ (iii) 8.7 x 10^-18 J
D. Ionisation potential of He⁺ (iv) – 54.4 eV
A B C D
1. i ii iii iv
2. iv iii ii i
3. iv ii i iii
4. ii iii i iv

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answer is C.

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Detailed Solution

$E_{n} = - \frac{Z^{2}}{n^{2}} E_{1}; - E_{1} = - 13.6 eV / atom For {He}^{+}, Z = 2; n = 1 . . . . ground state, n = 3 . . . 2^{nd} excited state, IP of {He}^{+} = + 13.6 Z^{2} eV / atom P . E = 2 T . E . . . . with negative sign K . E = T . E . . . . . . . . . with positive sign$

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