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Using the known values for haydrogen atom, calculate. (a) radius of thirdj orbit for `Li^(+2)`. (b) speed of electron in fourth orbit for `He^+`. (c ) angular momentum of electron in 3rd orbit of `He^+.` |
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Answer» Correct Answer - A::B::C (a) `Z = 3 for Li^+2` . Further we know that `r_n = (n^2)/(Z) a_0` . Substituting, `n = 3, Z = 3` and `a_0 =0.529Å` . We have r_3 for `Li^(+2) = ((3)^2/(3)) (0.529)Å`. (b) `Z = 2 for He^+`. Also we know that . `v_n = (Z)/(n) v_1` .Substituting,` n = 4, Z=2 and V_1 = 2.19xx10^6 m//s` . We get, `v_4 for `He^+ = ((2)/(4)) ((2.19xx10^6))m//s` . `= 1.095xx10^6m//s`. (c ) `L_n = n((h)/(2pi))` . For `n = 3, L_3 = 3((h)/(2pi))` |
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