AP EAMCET · Chemistry · Structure of Atom
The energy (in J) released when an excited electron of \(5^{\text {th }}\) orbit of hydrogen atom returns to its ground state is
- A \(2.091 \times 10^{-18}\)
- B \(4.182 \times 10^{-18}\)
- C \(6.273 \times 10^{-18}\)
- D \(8.364 \times 10^{-18}\)
Answer & Solution
Correct Answer
(A) \(2.091 \times 10^{-18}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } \mathrm{E}=2.18 \times 10^{-18}\left(\frac{1}{\mathrm{n}_1^2}-\frac{1}{\mathrm{n}_2^2}\right) \\ & =2.18 \times 10^{-18}\left(\frac{1}{5^2}-\frac{1}{1^2}\right)=2.18 \times 10^{-18}(-0.96) \\ & =-2.091 \times 10^{-18} \mathrm{~J}\end{aligned}\)
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