An electron in the ground state of the hydrogen atom has the orbital radius of \(5.3\times {10}^{-11}\mathrm{m}\) while that for the electron in third excited state is \(8.48\times {10}^{-10}\mathrm{m}\). The ratio of the de Broglie wavelengths of electron in the ground state to that in the excited state is:

[JEE Main 2025, 22 Jan (Shift 1)]

Question

An electron in the ground state of the hydrogen atom has the orbital radius of \(5.3\times {10}^{-11}\mathrm{m}\) while that for the electron in third excited state is \(8.48\times {10}^{-10}\mathrm{m}\). The ratio of the de Broglie wavelengths of electron in the ground state to that in the excited state is:

[JEE Main 2025, 22 Jan (Shift 1)]

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An electron in the ground state of the hydrogen atom has the orbital radius of \(5.3\times {10}^{-11}\mathrm{m}\) while …

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