Question

Radius of the first Bohr orbit of hydrogen atom is 0.05nm. Calculate the radius of the third orbit.

Answer 1

Given: Radius of the first Bohr orbit (r₁) = 0.05 nm

Principal quantum number for the first orbit (n₁) = 1

Principal quantum number for the target orbit (n₃) = 3

r_n = r₁ × n₂

r₃ = 0.05 nm × (3)²

= 0.05 × 9

= 0.45 nm