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Q.

Consider one He+ ion in excited state (n = 5). Which of the following observations will hold true as per the Bohr's model

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a

10 emission spectral lines will be seen

b

The ionisation energy needed is less than 2eV

c

The longest emitted wavelength is less than 10/R (R = Rydberg's constant)

d

The electronic separation from the center of nucleus is more than 6 Ao

answer is D.

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Detailed Solution

A multitude of He+ will produce 10 possible emission lines.A single He+ can produce maximum 4 lines (not more)5→ 4→ 3→ 2→ 1En=−13.6 z2n2=−13.6 ×  2252= −13.6×425 =−2.176  eVIE=+2.176  eV  >  2eV1λ =  RZ2  1n12−1n221λ =  R.4142 − 1521λ =  4R916 × 251λ = 16 × 254 ×9 ×R=1009R >  10Rrn = 0.53  ×  n2Z=  0.53  × 52Z=6.625  Ao >  6Ao
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