MHT CET · Chemistry · Structure of Atom
What is the energy associated with first orbit of \(\mathrm{He}^{+}\)?
- A \(-2.18 \times 10^{-18} \mathrm{~J}\)
- B \(-4.36 \times 10^{-18} \mathrm{~J}\)
- C \(-6.54 \times 10^{-18} \mathrm{~J}\)
- D \(-8.72 \times 10^{-18} \mathrm{~J}\)
Answer & Solution
Correct Answer
(D) \(-8.72 \times 10^{-18} \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
For the first orbit of monopositive \(\mathrm{He}^{+}\)ion,
\(Z=2, n=1\)
\(E_n=-2.18 \times 10^{-18}\left(\frac{Z^2}{n^2}\right) J\)
\(\therefore E_1=-2.18 \times 10^{-18}\left(\frac{2^2}{1^2}\right)=\) \(-8.72 \times 10^{-18} \mathrm{J}\)
\(Z=2, n=1\)
\(E_n=-2.18 \times 10^{-18}\left(\frac{Z^2}{n^2}\right) J\)
\(\therefore E_1=-2.18 \times 10^{-18}\left(\frac{2^2}{1^2}\right)=\) \(-8.72 \times 10^{-18} \mathrm{J}\)
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