JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Mock Test - Atomic Structure

  • question_answer
    Which transition in \[L{{i}^{{{2}^{+}}}}\] would have the same wavelength as the \[2\text{ }\to \text{ }4\] transition in \[H{{e}^{+}}\] ion?

    A) 4 \[\to \] 2

    B) 2 \[\to \] 4

    C) 3 \[\to \] 6           

    D) 6 \[\to \] 2

    Correct Answer: C

    Solution :

    [c] \[{{(H{{e}^{+}})}_{2\to }}=(L{{i}^{2+}}){{n}_{4\to {{n}_{3}}}}\]             \[\therefore \frac{{{Z}_{1}}}{{{Z}_{2}}}=\frac{{{n}_{2}}}{{{n}_{4}}}=\frac{{{n}_{1}}}{{{n}_{3}}}\]             or \[\frac{2}{3}=\frac{2}{{{n}_{4}}}=\frac{4}{{{n}_{3}}}\]             \[\therefore {{n}_{4}}=3\] and \[{{n}_{3}}=6\]             \[\therefore \] transition in \[L{{i}^{2+}}\]ion=3\[\to \]6


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