MHT CET · Chemistry · Structure of Atom
What is the radius of the fourth orbit of hydrogen atom?
- A \(846.4 \mathrm{pm}\)
- B \(211.6 \mathrm{pm}\)
- C \(476.1 \mathrm{pm}\)
- D \(1322.5 \mathrm{pm}\)
Answer & Solution
Correct Answer
(A) \(846.4 \mathrm{pm}\)
Step-by-step Solution
Detailed explanation
\(
\mathrm{r}_{\mathrm{n}}=\frac{52.9(\mathrm{n})^2}{\mathrm{Z}} \mathrm{pm}
\)
For hydrogen, \(Z=1\)
\(
r_n=\frac{52.9 \times 4^2}{1}=846.4 \mathrm{pm}
\)
\mathrm{r}_{\mathrm{n}}=\frac{52.9(\mathrm{n})^2}{\mathrm{Z}} \mathrm{pm}
\)
For hydrogen, \(Z=1\)
\(
r_n=\frac{52.9 \times 4^2}{1}=846.4 \mathrm{pm}
\)
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