16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T4b2,{"@context":"https://schema.org","@type":"Quiz","name":"Kcet 2018 Atoms And Nuclei PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/kcet/questions/2018/physics/atoms-and-nuclei/m7ishct4","educationalLevel":"Entrance exam preparation","about":"Kcet / Physics / Atoms And Nuclei","hasPart":{"@type":"Question","name":"Kcet 2018 Atoms And Nuclei PYQ with Solution","text":"The period of revolution of an electron in the ground state of hydrogen atom is T. The period of revolution of the electron in the first excited state is","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"D"},"comment":{"@type":"Comment","text":"Let’s analyze the problem using the Bohr model for the hydrogen atom. In the Bohr model, the radius of the electron's circular orbit for the state with principal quantum number n is given by: r_n = n^2 a_0, where a_0 is the Bohr radius. The speed of the electron in the orbit is inversely proportional to n: v_n \\propto \\frac{1}{n}. The time period of revolution T_n is the circumference of the orbit divided by the speed: T_n = \\frac{2\\pi r_n}{v_n}. Substituting the dependencies for r_n and v_n, w..."}}}18:T432,

Let’s analyze the problem using the Bohr model for the hydrogen atom.

In the Bohr model, the radius of the electron's circular orbit for the state with principal quantum number $$n$$ is given by:

$$r_n = n^2 a_0,$$

where $$a_0$$ is the Bohr radius.

The speed of the electron in the orbit is inv

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