{"id":253990,"date":"2022-09-10T11:10:53","date_gmt":"2022-09-10T05:40:53","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-ionization-energy-of-the-electron-in-the-hydrogen-atom-in-its-ground-state-is-13-6-ev-the-atoms-are-excited-to-higher-energy-levels-to-emit-radiations-of-6-wavelengths-maximum-wavelength-of-emit\/"},"modified":"2022-09-10T11:10:53","modified_gmt":"2022-09-10T05:40:53","slug":"the-ionization-energy-of-the-electron-in-the-hydrogen-atom-in-its-ground-state-is-13-6-ev-the-atoms-are-excited-to-higher-energy-levels-to-emit-radiations-of-6-wavelengths-maximum-wavelength-of-emit","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-ionization-energy-of-the-electron-in-the-hydrogen-atom-i\/","title":{"rendered":"The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. The atoms are excited to higher energy levels to emit radiations of 6 wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. The atoms are excited to higher energy levels to emit radiations of 6 wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between","custom_permalink":"question\/physics\/the-ionization-energy-of-the-electron-in-the-hydrogen-atom-i\/"},"categories":[],"acf":{"question":"<p>The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. The atoms are excited to higher energy levels to emit radiations of 6 wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between<\/p>","options":[{"option":"<p>n=3 to n=2 states<\/p>","correct":false},{"option":"<p>n=3 to n=1 states<\/p>","correct":false},{"option":"<p>n=2 to n=1 states<\/p>","correct":false},{"option":"<p>n=4 to n=3 states<\/p>","correct":true}],"solution":"<p>Number of spectral lines obtained due to transition of electron from nth orbit to ground state is<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mstyle mathsize=\"14px\"><mrow><mi mathvariant=\"normal\">N<\/mi><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">n<\/mi><mfenced><mrow><mi mathvariant=\"normal\">n<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><\/mstyle><\/math>&nbsp;and for maximum wavelength the difference between the orbits of the series should be minimum.<\/p><p>Number of spectral lines&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mstyle mathsize=\"14px\"><mrow><mi mathvariant=\"normal\">N<\/mi><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">n<\/mi><mfenced><mrow><mi mathvariant=\"normal\">n<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><\/mstyle><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mstyle mathsize=\"14px\"><mtable columnalign=\"left\"><mtr><mtd><mo>\u21d2<\/mo><mfrac><mrow><mi mathvariant=\"normal\">n<\/mi><mfenced><mrow><mi mathvariant=\"normal\">n<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/mrow><mn>2<\/mn><\/mfrac><mo>=<\/mo><mn>6<\/mn><\/mtd><\/mtr><mtr><mtd><mi>or<\/mi><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mtext>\u2009\u2009\u2009\u2009<\/mtext><msup><mi mathvariant=\"normal\">n<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mi mathvariant=\"normal\">n<\/mi><mo>\u2212<\/mo><mn>12<\/mn><mo>=<\/mo><mn>0<\/mn><\/mtd><\/mtr><mtr><mtd><mi>or<\/mi><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mtext>\u2009\u2009\u2009<\/mtext><mfenced><mrow><mi mathvariant=\"normal\">n<\/mi><mo>\u2212<\/mo><mn>4<\/mn><\/mrow><\/mfenced><mfenced><mrow><mi mathvariant=\"normal\">n<\/mi><mo>+<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mo>=<\/mo><mn>0<\/mn><\/mtd><\/mtr><mtr><mtd><mi>or<\/mi><mtext>\u2009&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\u2009\u2009<\/mtext><mi mathvariant=\"normal\">n<\/mi><mo>=<\/mo><mn>4<\/mn><\/mtd><\/mtr><\/mtable><\/mstyle><\/math><\/p><p>Now as the difference in energy between 4 th orbit and 3 rd orbit is minimum , therefore electron jumps from the 4 th orbit to the 3 rd orbit . &nbsp;<\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. 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