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← JEE Main 2016 · 9 Apr · Shift 1
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JEE Main 2016 · 9 Apr · Shift 1, Physics question 22

A hydrogen atom makes a transition from n = 2 to n = 1 and emits a photon. This photon strikes a doubly ionized lithium atom (z = 3) in excited state and completely removes the orbiting electron. The least quantum number for the excited state of the ion for the process is :

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Answer and worked solution

Official answer: C

The photon carries 10.2 eV. In LiX2+\ce{Li^2+} the level n has binding energy 13.6×9n2\frac{13.6\times9}{n^2} eV, which is at most 10.2 eV when n2≥12n^2\ge12: the least n is 4.