Question

According to the Bohr's model of a hydrogen atom, what would be the ratio of Bohr's radius of ${}_1$H${}^1$, ${}_1$H${}^2$ and ${}_1$H${}^3$ be?

• A. 1:1:1
• B. 2:3:4
• C. 3:2:1
• D. 1:4:9

Answer 1

The correct option is A

1:1:1

Bohr's radius for the hydrogen atom and hydrogen-like species depends a${}_0$
= 0.529 (n${}^2$/z)
Where n = principal quantum number
Z = atomic number
Clearly the given isotopes have the same values of n and Z (why?)

So answer is 1:1:1