KCET · Chemistry · Structure of Atom
The energy associated with first orbit of \(\mathrm{He}^{+}\) is
- A 0 J
- B \(-8.72 \times 10^{-18} \mathrm{~J}\)
- C \(-4.58 \times 10^{-18} \mathrm{~J}\)
- D \(-0.545 \times 10^{-18} \mathrm{~J}\)
Answer & Solution
Correct Answer
(B) \(-8.72 \times 10^{-18} \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
Given,
\(Z=2\)
\(n=1\)
Using the formula of energy
\(E=-218 \times 10^{-18} \times \frac{Z^2}{n^2}\)
On substituting the value of \(Z\) and \(n\)
\(=-2.18 \times 10^{-18} \times \frac{(2)^2}{(1)^2}\)
\(E=-8.72 \times 10^{-18} \mathrm{~J}\)
\(Z=2\)
\(n=1\)
Using the formula of energy
\(E=-218 \times 10^{-18} \times \frac{Z^2}{n^2}\)
On substituting the value of \(Z\) and \(n\)
\(=-2.18 \times 10^{-18} \times \frac{(2)^2}{(1)^2}\)
\(E=-8.72 \times 10^{-18} \mathrm{~J}\)
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