An electron in the ground state of the hydrogen atom has the orbital radius of 5.3×10⁻¹¹ m while that for the electron in third excited state is 8.48×10⁻¹⁰ m. The ratio of the de Broglie wavelengths of electron in the ground state to that in the excited state is

Atoms and Nuclei: JEE Main 2025 Physics question

JEE Main 2025 · 22 Jan, Morning shift · Q43

JEE Main 202522 Jan, Morning shiftPhysicsMediumAtoms and Nuclei183× since 2002

An electron in the ground state of the hydrogen atom has the orbital radius of

5.3\times10^{-11}

m while that for the electron in third excited state is

8.48\times10^{-10}

m. The ratio of the de Broglie wavelengths of electron in the ground state to that in the excited state is

JEE Main 2025 Atoms and Nuclei Question with Solution (22 Jan Morning shift, Q43) | JEE Arc

JEE Main 2025 · 22 Jan, Morning shift · Q43

JEE Main 202522 Jan, Morning shiftPhysicsMediumAtoms and Nuclei183× since 2002

An electron in the ground state of the hydrogen atom has the orbital radius of

5.3\times10^{-11}

m while that for the electron in third excited state is

8.48\times10^{-10}

m. The ratio of the de Broglie wavelengths of electron in the ground state to that in the excited state is