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MHT CET 2025 (22 Apr, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2025 (22 Apr, Shift 2)

Q40MHT CET 2025 · 22 APR · SHIFT 2Medium

Matter Waves: de Broglie Wavelength

When the electron orbiting in hydrogen atom goes from one orbit to another orbit (principal quantum number $= n$ ), the de-Broglie wavelength ( $\lambda$ ) associated with it is related to $n$ as

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Answer: (d)

Bohr condition: $2\pi r_n = n\lambda \Rightarrow \lambda = \dfrac{2\pi r_n}{n}$ .
$r_n \propto n^2$ , so $\lambda \propto \dfrac{n^2}{n} = n$ (equivalently $v \propto 1/n$ ).
So the answer is (d) $\lambda \propto n$ .

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