# Problem: What is the wavelength of the line corresponding to n=5 in the Balmer series?

###### FREE Expert Solution

We can determine the wavelength, λ of the line corresponding to n=5 in the Balmer series using the Balmer Equation shown below:

Recall that for the Balmer series the final principal energy level nf is always = 2.

$\overline{)\frac{1}{\lambda }{=}{R}{×}\left(\frac{1}{{{n}_{f}}^{2}}-\frac{1}{{{n}_{i}}^{2}}\right)}$

λ  = wavelength, m

R = 1.0974 x 107m-1 (Rydberg Constant)      **value can be found in textbooks or online
ni = initial principal energy level
nf = final principal energy level = 2 for Balmer Series ###### Problem Details

What is the wavelength of the line corresponding to n=5 in the Balmer series?
{"ft_lang_label":"__label__en","ft_lang_prob":0.8921297,"math_prob":0.997788,"size":821,"snap":"2020-24-2020-29","text_gpt3_token_len":193,"char_repetition_ratio":0.13586292,"word_repetition_ratio":0.071428575,"special_character_ratio":0.2180268,"punctuation_ratio":0.065789476,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99880815,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-04T05:12:25Z\",\"WARC-Record-ID\":\"<urn:uuid:ca98fc08-cd9c-42f2-9e7d-44c34cb1b5e0>\",\"Content-Length\":\"168760\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1ed7cabd-a83a-46cc-ab28-36a89be096bf>\",\"WARC-Concurrent-To\":\"<urn:uuid:0601b683-87a1-4cfe-bb95-757e8074ff64>\",\"WARC-IP-Address\":\"34.227.164.168\",\"WARC-Target-URI\":\"https://admin.clutchprep.com/chemistry/practice-problems/132342/what-is-the-wavelength-of-the-line-corresponding-to-n-5-in-the-balmer-series\",\"WARC-Payload-Digest\":\"sha1:KKOBNAQC6ZYR556LWRH6ZAN7WZBJ7D4X\",\"WARC-Block-Digest\":\"sha1:XGEYYUKJEWFYPJMP24JVTKFLYFFLYEZT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655884012.26_warc_CC-MAIN-20200704042252-20200704072252-00130.warc.gz\"}"}