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AP EAMCET · Chemistry · Structure of Atom

The ratio of radii of second orbit of hydrogen atom to fourth orbit of \(\mathrm{He}^{+}\)ion is

  1. A \(1: 4\)
  2. B \(2: 1\)
  3. C \(1: 2\)
  4. D \(2: 3\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1: 2\)

Step-by-step Solution

Detailed explanation

For hydrogen and hydrogen like atoms \(r_n=n^2 / Z\) where, \(r_n\) is radius of \(n\)th orbit of revolution of electron, \(Z\) is the atomic number. For hydrogen atom, \(Z=1\). Hence, radius of second orbit is \(r_2=\frac{(2)^2}{1}=4\) For helium atom, \(Z=2\). Hence, radius of…