{"id":131149,"date":"2023-02-15T11:59:52","date_gmt":"2023-02-15T06:29:52","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=131149"},"modified":"2023-02-15T11:59:52","modified_gmt":"2023-02-15T06:29:52","slug":"the-short-wavelength-limit-for-the-lyman-series-of-the-hydrogen-spectrum-is-913-4","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/education\/the-short-wavelength-limit-for-the-lyman-series-of-the-hydrogen-spectrum-is-913-4","title":{"rendered":"The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;."},"content":{"rendered":"<h2>Question 4:The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4 A0 . Calculate the short wavelength limit for the Balmer series of the hydrogen spectrum.<\/h2>\n<h3>The correct answer is &#8211; The Balmer series of the hydrogen spectrum consists of the spectral lines that result from electronic transitions between the excited states of hydrogen atoms and the n=2 energy level. The shortest wavelength limit for the Balmer series corresponds to the transition from the third energy level (n=3) to the second energy level (n=2). This is known as the Balmer limit.<\/h3>\n<h3>The energy of a hydrogen atom in the nth energy level is given by the formula:<\/h3>\n<h3>E_n = -13.6 eV \/ n^2<\/h3>\n<h3>where eV represents electron volts, a unit of energy.<\/h3>\n<h3>The difference in energy between the n=3 and n=2 energy levels is:<\/h3>\n<h3>\u0394E = E_3 &#8211; E_2 = (-13.6 eV \/ 3^2) &#8211; (-13.6 eV \/ 2^2) = 1.51 eV<\/h3>\n<h3>To convert this energy difference to a wavelength, we can use the formula:<\/h3>\n<h3>\u03bb = hc \/ \u0394E<\/h3>\n<h3>where \u03bb is the wavelength, h is Planck&#8217;s constant, and c is the speed of light.<\/h3>\n<h3>Substituting the values, we get:<\/h3>\n<h3>\u03bb = (6.626 x 10^-34 J s) x (2.998 x 10^8 m\/s) \/ (1.51 eV x 1.602 x 10^-19 J\/eV) = 364.6 nm<\/h3>\n<h3>Converting this to angstroms, we get:<\/h3>\n<h3>\u03bb = 364.6 nm x 10 A\/nm = 3646 \u00c5<\/h3>\n<h3>Therefore, the short wavelength limit for the Balmer series of the hydrogen spectrum is 3646 \u00c5.<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Question 4:The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4 A0 . Calculate the short wavelength limit for the Balmer series of the hydrogen spectrum. The correct answer is &#8211; The Balmer series of the hydrogen spectrum consists of the spectral lines that result from electronic transitions between the excited [&hellip;]<\/p>\n","protected":false},"author":21830,"featured_media":131018,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":{"0":"post-131149","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-education"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/131149","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=131149"}],"version-history":[{"count":2,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/131149\/revisions"}],"predecessor-version":[{"id":131151,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/131149\/revisions\/131151"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/131018"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=131149"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=131149"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=131149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}