st","extracted_subject":"PHYSICS","extracted_chapter":"ATOMS","extracted_topic":"BOHR MODEL OF THE HYDROGEN ATOM","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_816.png?top_left_x=0&top_left_y=985&width=532&height=262&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23c9870136192204c033e","slug":"the-energy-of-hydrogen-atom-in-nsupthsup-orbit-is-","content":"The energy of hydrogen atom in n^th orbit is E_n; then the energy in n^th orbit of singly ionized helium atom will be –","options":[{"_id":"68a4080b7f15af4716c92fcf","text":"4E_n","sequence":0,"isCorrect":true},{"_id":"68a4080b7f15af4716c92fd0","text":"\\(\\frac{E_{n}}{4}\\)","sequence":1,"isCorrect":false},{"_id":"68a4080b7f15af4716c92fd1","text":"2E_n","sequence":2,"isCorrect":false},{"_id":"68a4080b7f15af4716c92fd2","text":"\\(\\frac{E_{n}}{2}\\)","sequence":3,"isCorrect":false}],"correct_answer":"4E_n","explanation":"E_n = – \\(\\frac{13.6}{n^{2}}\\) eV For H–like atom\n\nEn' = \\(\\frac{–13.6}{n^{2}}\\)× 2² eV\n\nE_n' = E_n × (2)²\n\nE_n' = 4E_n","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:41:44.259Z","__v":0,"vector_store_id":"69b4f911-7a28-48be-af5d-eca0c05eb575","updated_at":"2024-08-30T21:41:44.259Z","isStarred":false},"params":{"questionSlug":"the-energy-of-hydrogen-atom-in-nsupthsup-orbit-is-"}}]}]]

Question: The energy of hydrogen atom in n<sup>th</sup> orbit is E<sub>n</sub>; then the energy in n<sup>th</s...

Solution