Atomic StructureHard
Question
The electron in a hydrogen atoms makes a transition n1 → n2, n1 and n2 are the principal quantum number of two states. Assume the Bohr′s model to be valid. The time period of the electrons in the initial state is eight times that in the final state. The possible values of n1 and n2 are
Options
A.n1 = 4, n2 = 2
B.n1 = 8, n2 = 2
C.n1 = 8, n2 = 1
D.n1 = 6, n2 = 3
Solution
Time period, Tn = 
i.e., Tn ∝
But rn ∝ n2 and
Therefore, Tn ∝ n3
Given, Tn1 = 8Tn2
Hence, n1 = 2n2
Therefore, options (a) and (d) are correct.
i.e., Tn ∝
But rn ∝ n2 and
Therefore, Tn ∝ n3
Given, Tn1 = 8Tn2
Hence, n1 = 2n2
Therefore, options (a) and (d) are correct.
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