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MHT CET 2021 (21 Sep, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2021 (21 Sep, Shift 1)

Q87MHT CET 2021 · 21 SEP · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

When an electron in hydrogen atom jumps from third excited state to the ground state, the de- Broglie wavelength associated with the electron becomes

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Answer: (b)

Third excited state is $n = 4$ ; ground state $n = 1$ .
$\lambda = \frac{2\pi r_n}{n} \propto \frac{n^2}{n} = n$
$\frac{\lambda_1}{\lambda_4} = \frac{1}{4}$
So the answer is (b) $\frac{1}{4}$ th.

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