Atoms - Result Question 17

18. An electron in hydrogen atom makes a transition $n_1 \to n_2$ where $n_1$ and $n_2$ are principal quantum numbers of the two states. Assuming Bohr’s model to be valid the time period of the electron in the initial state is eight times that in the final

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Answer:

Correct Answer: 18. (a)

Solution:

  1. (a) $\because T \propto n^{3}$

$\frac{T_1}{T_2}=\frac{8 T_2}{T_2}=(\frac{n_1}{n_2})^{3}$

Hence, $n_1=2 n_2$