MCQ
The energy levels for $_z{A^{( + Z - 1)}}$ can be given by
  • ${E_n}\,for\,{A^{( + Z - 1)}} = {Z^2} \times {{\text{E}}_n}{\text{ for H}}$
  • B
    ${E_n}\,for\,{A^{( + Z - 1)}} = {Z} \times {{\text{E}}_n}{\text{ for H}}$
  • C
    ${E_n}\,for\,{A^{( + Z - 1)}} = \frac{1}{{{Z^2}}} \times {{\text{E}}_n}{\text{ for H}}$
  • D
    ${E_n}\,for\,{A^{( + Z - 1)}} = \frac{1}{{{Z}}} \times {{\text{E}}_n}{\text{ for H}}$

Answer

Correct option: A.
${E_n}\,for\,{A^{( + Z - 1)}} = {Z^2} \times {{\text{E}}_n}{\text{ for H}}$
a
According to Bohr's model, $E =13.6\, k\,cal$ for Hydrogen.

$E =13.6 \frac{ Z ^2}{ n }$

Hence $E _{ n }$ for $A ^{( +Z -1)}= Z ^2 \times E _{ n }$ for $H$.

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