Question

According to Bohr’s theory of the hydrogen atom, calculate:

1. angular momentum of the electron in the second Bohr orbit.
2. radius of the third Bohr orbit.

Answer 1

1. Bohr quantization:

L_n = `(nh)/(2 pi)`

So, L₂ = `(2 h)/(2 pi)`

= `h/pi`

= `(6.6 xx 10^-34)/3.14`

= 2.1 × 10⁻³⁴ Js

2. r_n = n²a₀

r₃ = 3²a₀

= 9a₀

= 9 × 5.3 × 10⁻¹¹

= 4.77 × 10⁻¹⁰ m