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Question

Question: What is the wave length emitted during the transition of electron in between two levels of Li<sup>2+...

What is the wave length emitted during the transition of electron in between two levels of Li2+ whose sum is 4 and difference is 2 ? Given RH = 109678 cm–1 :

A

0.1096 cm–1

B

0.101 ื 10–6 cm–1

C

1.14 ื 10–6 cm–1

D

109 ล

Answer

1.14 ื 10–6 cm–1

Explanation

Solution

n1 + n2 = 4 & n2 – n1 = 2 ; { n1 = 1 & n2 =3 }

1λ\frac{1}{\lambda}= RH × z2 × (112132)\left( \frac{1}{1^{2}} - \frac{1}{3^{2}} \right)

= 109678 × 9 × 89\frac{8}{9}cm–1

l = 1.14 × 10–6 cm–1