Question

In Bohr model of hydrogen atom, calculate the speed of electron in this orbit.

Answer 1

The Bohr model assumes that electrons orbit the nucleus in specific quantized orbits where the angular momentum is an integral multiple of h/2π.

Using standard constants:

ϵ₀ = 8.854 × 10⁻¹² C²/Nm²

h = 6.626 × 10⁻³⁴ Js

m = 9.1 × 10⁻³¹ kg

e = 1.6 × 10⁻¹⁹ C

Speed in n th orbit (v_n) = `e^2/(2 epsilon_0 n h)`

v₁ = `((1.6 xx 10^-19)^2)/((2 * (8.854 xx 10^-12) * 1 * (6.626 xx 10^-34)`

v₁ ≈ 2.18 × 10⁶ m/s