A double ionized Lithium atom is hydrogen-like wit

Question

A double ionized Lithium atom is hydrogen-like with atomic number 3. (i) Find the wavelength of the radiation required to excite the electron in Li++ form the first to the third Bohr orbit. (Ionization energy of the hydrogen atom equals 13.6 eV.)(ii) How many spectral lines are observed in the emission spectrum of the above excited system ?

Kevin Nash · Accepted Answer

Hello Student,Please find the answer to your question. (i) En = - 13.6 / n2 Z2 eV / atomFor Li2+ , Z = 3 &there4; En = - 13.6 x 9 / n2 eV / atom&there4; E1 = - 13. 6 x 9 / 1 and E3 = - 13.6 x 9 / 9 = - 13. 6∆E = E3 &ndash; E1 = - 13. 6 &ndash; (- 13.6 x 9)13. 6 x 8 = 108.8 eV /atom&Lambda; = 12400 / E (in eV) Å = 12400 / 108.8 = 114 Å(ii) The spectral line observed will be three namely 3 ⟶ 1,3⟶ 2, ⟶ 1.ThanksKevin NashaskIITians Faculty

Modern Physics> A double ionized Lithium atom is hydrogen...

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Kevin Nash

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Modern Physics> A double ionized Lithium atom is hydrogen...

Radhika Batra , 10 Years ago

Kevin Nash

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