Question

Statement-1 : The radius of the first orbit of hydrogen atom is
0.529Å.
Statement-2 : Radius of each circular orbit (rₙ) - 0.529Å
(n²/Z), where n = 1, 2, 3 and Z = atomic number.

Answer 1

Statement - 1: The radius of the first orbit of hydrogen atom is 0.529 Å

Statement - 2 : Radius for each circular orbit,

rₙ = 0.529Å(n²/Z) where r=1,2,3 and Z = atomic number.

• Both statement 1 and statement 2 is true and statement 2 is correct reason for statement 1

•Reason : Bohr radius for hydrogen atom is given by

=> r = n^2×h^2/4×pi×e^2×m×z

Here, h^2/4×pi×e^2×m = 0.529Å

Putting n = 1 and z = 1

r = 0.529Å

It is the radius of first orbit of hydrogen atom.