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 ×

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🧑‍🏫 Author: Aditya Bhatt Sir   |   🕒 Last Updated: July 13, 2025

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📘Question

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 excited state is (1) 4 

(2) 9 

(3) 3 

(4) 16       (JEE-2025)   

✅ Answer

Ans. (1) 

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 excited state is  (1) 4  (2) 9  (3) 3  (4) 16   

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