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NEET 2013 · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from NEET 2013

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Bohr Model: Orbits, Speed & Angular Momentum

An electron in hydrogen atom makes a transition n1 $\to$ n2 where n1 and n2 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 state. The possible values of n1 and n2 are

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Answer: (d)

$T \propto n^3$
$\frac{T_1}{T_2} = 8 \Rightarrow \left(\frac{n_1}{n_2}\right)^3 = 8 \Rightarrow n_1 = 2n_2$
Only $n_1 = 4,\ n_2 = 2$ fits.
So the answer is (d).

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