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Question: In a certain electronic transition in the hydrogen atoms from an initial state (1) to a final state ...

In a certain electronic transition in the hydrogen atoms from an initial state (1) to a final state (2), the difference in the orbital radius (r1 – r2) is 24 times the first Bohr radius. Identify the transition.

A

5 → 1

B

25 → 1

C

8 → 3

D

6 → 5

Answer

5 → 1

Explanation

Solution

r1 – r2 = 24 × (r1)H

0.529×n1210.529×n221=24×0.529\frac{0.529 \times n_{1}^{2}}{1} - \frac{0.529 \times n_{2}^{2}}{1} = 24 \times 0.529

(n12n22)=24\therefore \left( n_{1}^{2} - n_{2}^{2} \right) = 24