The wavelength of spectral line obtained in the spectrum of LI 2+ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is (A) 2.28 × 10 –7 cm (B) 2.28 × 10 –6 cm

Question

The wavelength of spectral line obtained in the spectrum of LI 2+ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is

(A) 2.28 × 10 –7 cm
(B) 2.28 × 10 –6 cm
(C) 1.14 × 10 –7 cm
(D) 1.14 × 10 –6 cm

Prashant Kotian · Accepted Answer

Correct answer: D. n1  lower energy level n2  higher energy level n1 + n2 = 4, n2 = 3 n2 – n1 = 2, n1 = 1 Rydberg’s formula : H 2 2 1 R Z n n          H 2 1 R (3) 3          H 8R   H 8R  1 8 1.1 10    8.8  × 10 –8 cm  = 113.63 × 10 –8 cm  1.14 × 10 –6 cm

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