Question

Match the following

(1) Energy of ground state of He+ (i) + 6.04 eV

(2) Potential energy of $I$ orbit of H-atom (ii) –27.2 eV

(3) Kinetic energy of $II$ excited state of He+ (iii) 54.4 V

(4) Ionisation potential of He+ (iv) – 54.4 eV

• A. A – (i), B – (ii), C – (iii), D – (iv)
• B. A – (iv), B – (iii), C – (ii), D – (i)
• C. A – (iv), B – (ii), C – (i), D – (iii)
• D. A – (ii), B – (iii), C – (i), D – (iv)

Answer 1

Answer: (C)

A – (iv), B – (ii), C – (i), D – (iii)

Answer 2

(1) Energy of ground state of He+

= – 13.6 × 22 = – 54.4 eV (iv)

(2) Potential energy of $I$ orbit of H-atom

= – 27.2 × 12 = – 27.2 eV (ii)

(3) Kinetic energy of $II$ excited state of He+

= 13.6 × $\frac{2^{2}}{3^{2}}$ = 6.04 eV (i)

(4) Ionisation potential of He+

= 13.6 × 22 = 54.4 V (iii)