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Question

Chemistry Question on Bohr’s Model for Hydrogen Atom

An electron in hydrogen atom makes a transition n1n2n_1 \rightarrow n_2 where n1n_1, and n2n_2 are principal quantum numbers of the two states. Assuming Bohr?? model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible

A

n1=8,n2=1n_1 = 8, n_2 = 1

B

n1=6,n2=2n_1 = 6, n_2 = 2

C

n1=4,n2=2n_1 = 4, n_2 = 2

D

n1=8,n2=2n_1 = 8, n_2 = 2

Answer

n1=4,n2=2n_1 = 4, n_2 = 2

Explanation

Solution

As T αn3\alpha \, n^3 , we get, T1T2=648\frac{T_1}{T_2} = \frac{64}{8} for n1n_1 = 4 and n2n_2 = 2