JEE Mains · Chemistry · STD 11 - 2. structure of atom
The energy of an electron in the first Bohr orbit of hydrogen atom is \(-2.18 \times 10^{-18}\,J\). Its energy in the third Bohr orbit is \(........\).
- A \(\frac{1}{27}\) of this value
- B One third of this value
- C Three times of this value
- D \(\frac{1}{9}\) th of this value
Answer & Solution
Correct Answer
(D) \(\frac{1}{9}\) th of this value
Step-by-step Solution
Detailed explanation
\(E _{ n }=\frac{-2.18 \times 10^{-18} Z ^2}{ n ^2}\) \(\text { i.e. } E _{ n } \propto \frac{1}{ n ^2}\)
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