MHT CET · Physics · Atomic Physics
The radius of innermost orbit of hydrogen atom is \(5.3 \times 10^{-11} \mathrm{~m}\). The radius of fourth allowed orbit of hydrogen atom is
- A \(8.48 Å\)
- B \(2 \cdot 12 Å\)
- C \(4.77 Å\)
- D \(0.53 Å\)
Answer & Solution
Correct Answer
(A) \(8.48 Å\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{ll}
& r_n \propto n^2 \\
\therefore & \frac{r_n}{r_0}=\left(\frac{n}{1}\right)^2=(4)^2=16 \\
\therefore & r_4=16 \times\left(5.3 \times 10^{-11}\right)=8.48 Å
\end{array}\)
& r_n \propto n^2 \\
\therefore & \frac{r_n}{r_0}=\left(\frac{n}{1}\right)^2=(4)^2=16 \\
\therefore & r_4=16 \times\left(5.3 \times 10^{-11}\right)=8.48 Å
\end{array}\)
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