Bohr's radius for the H-atom (n =1) is approximately 0.53 Ã…. The radius of the first excited state (n=2) is :

Options

A. 0.13
B. 1.06
C. 4.77
D. 2.12

Answer

D

Explanation

Given : Radius of hydrogen atom `= 0.530 Å` , Numbe r of excited state (n) =2 and atomic number of hydrogen atom (Z) = 1 . We know that the Bohr radius.
`(r) = (n^(2))/(Z) xx "Radius of atom" = ((2)^(2))/(1) xx 0.530`
` = 4 xx 0.53. = 2.12 Å`