{"id":88357,"date":"2025-06-01T07:08:40","date_gmt":"2025-06-01T07:08:40","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88357"},"modified":"2025-06-01T07:08:40","modified_gmt":"2025-06-01T07:08:40","slug":"the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/","title":{"rendered":"The ionization energy of hydrogen atom in the ground state is"},"content":{"rendered":"<p>The ionization energy of hydrogen atom in the ground state is<\/p>\n<p>[amp_mcq option1=&#8221;13.6 MeV&#8221; option2=&#8221;13.6 eV&#8221; option3=&#8221;13.6 Joule&#8221; option4=&#8221;Zero&#8221; correct=&#8221;option2&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC NDA-2 &#8211; 2017<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-2-2017.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-2-2017\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and take it to the ionization limit (n=infinity).<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe energy of an electron in the n-th energy level of a hydrogen atom is given by E_n = -13.6\/n\u00b2 eV. In the ground state (n=1), the energy is E\u2081 = -13.6\/1\u00b2 = -13.6 eV. At the ionization limit (n=infinity), the energy is E_infinity = -13.6\/infinity\u00b2 = 0 eV. The ionization energy is the difference between these energies: Ionization Energy = E_infinity &#8211; E\u2081 = 0 &#8211; (-13.6 eV) = +13.6 eV.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nMeV (Mega electron Volt) and Joule are also units of energy, but 13.6 eV is the standard and correct value for the hydrogen atom&#8217;s ionization energy. 1 eV is approximately 1.602 x 10\u207b\u00b9\u2079 J. 1 MeV is 10\u2076 eV. 13.6 MeV is an extremely large amount of energy in this context. Zero ionization energy would mean no energy is required to remove the electron, which is incorrect for a bound electron.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>The ionization energy of hydrogen atom in the ground state is [amp_mcq option1=&#8221;13.6 MeV&#8221; option2=&#8221;13.6 eV&#8221; option3=&#8221;13.6 Joule&#8221; option4=&#8221;Zero&#8221; correct=&#8221;option2&#8243;] This question was previously asked in UPSC NDA-2 &#8211; 2017 Download PDFAttempt Online The ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"The ionization energy of hydrogen atom in the ground state is\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/#more-88357\">Detailed Solution<span class=\"screen-reader-text\">The ionization energy of hydrogen atom in the ground state is<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1094],"tags":[1101,1203,1128],"class_list":["post-88357","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1101","tag-nuclear-physics","tag-physics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The ionization energy of hydrogen atom in the ground state is<\/title>\n<meta name=\"description\" content=\"The ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and take it to the ionization limit (n=infinity). The energy of an electron in the n-th energy level of a hydrogen atom is given by E_n = -13.6\/n\u00b2 eV. In the ground state (n=1), the energy is E\u2081 = -13.6\/1\u00b2 = -13.6 eV. At the ionization limit (n=infinity), the energy is E_infinity = -13.6\/infinity\u00b2 = 0 eV. The ionization energy is the difference between these energies: Ionization Energy = E_infinity - E\u2081 = 0 - (-13.6 eV) = +13.6 eV.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The ionization energy of hydrogen atom in the ground state is\" \/>\n<meta property=\"og:description\" content=\"The ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and take it to the ionization limit (n=infinity). The energy of an electron in the n-th energy level of a hydrogen atom is given by E_n = -13.6\/n\u00b2 eV. In the ground state (n=1), the energy is E\u2081 = -13.6\/1\u00b2 = -13.6 eV. At the ionization limit (n=infinity), the energy is E_infinity = -13.6\/infinity\u00b2 = 0 eV. The ionization energy is the difference between these energies: Ionization Energy = E_infinity - E\u2081 = 0 - (-13.6 eV) = +13.6 eV.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:08:40+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"The ionization energy of hydrogen atom in the ground state is","description":"The ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and take it to the ionization limit (n=infinity). The energy of an electron in the n-th energy level of a hydrogen atom is given by E_n = -13.6\/n\u00b2 eV. In the ground state (n=1), the energy is E\u2081 = -13.6\/1\u00b2 = -13.6 eV. At the ionization limit (n=infinity), the energy is E_infinity = -13.6\/infinity\u00b2 = 0 eV. The ionization energy is the difference between these energies: Ionization Energy = E_infinity - E\u2081 = 0 - (-13.6 eV) = +13.6 eV.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/","og_locale":"en_US","og_type":"article","og_title":"The ionization energy of hydrogen atom in the ground state is","og_description":"The ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and take it to the ionization limit (n=infinity). The energy of an electron in the n-th energy level of a hydrogen atom is given by E_n = -13.6\/n\u00b2 eV. In the ground state (n=1), the energy is E\u2081 = -13.6\/1\u00b2 = -13.6 eV. At the ionization limit (n=infinity), the energy is E_infinity = -13.6\/infinity\u00b2 = 0 eV. The ionization energy is the difference between these energies: Ionization Energy = E_infinity - E\u2081 = 0 - (-13.6 eV) = +13.6 eV.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:08:40+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/","name":"The ionization energy of hydrogen atom in the ground state is","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:08:40+00:00","dateModified":"2025-06-01T07:08:40+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The ionization energy of a hydrogen atom is the minimum energy required to remove the electron from the ground state (n=1) and take it to the ionization limit (n=infinity). The energy of an electron in the n-th energy level of a hydrogen atom is given by E_n = -13.6\/n\u00b2 eV. In the ground state (n=1), the energy is E\u2081 = -13.6\/1\u00b2 = -13.6 eV. At the ionization limit (n=infinity), the energy is E_infinity = -13.6\/infinity\u00b2 = 0 eV. The ionization energy is the difference between these energies: Ionization Energy = E_infinity - E\u2081 = 0 - (-13.6 eV) = +13.6 eV.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ionization-energy-of-hydrogen-atom-in-the-ground-state-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-2\/"},{"@type":"ListItem","position":3,"name":"The ionization energy of hydrogen atom in the ground state is"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/88357","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=88357"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/88357\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=88357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=88357"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=88357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}