Question

The ratio of the areas within the electron orbits for the first excited state to the ground state for the hydrogen atom is –

• A. 2 : 1
• B. 4 : 1
• C. 8 : 1
• D. 16 : 1

Answer 1

Answer: (D)

16 : 1

Answer 2

A₁ = p$r_{1}^{2}$ = p$r_{0}^{2}$

r₂ = n² r₁ = 2² r₁ = 4 r₀

\ A₂ = p$r_{2}^{2}$ = p(4r₀)² = 16p$r_{0}^{2}$

\ $\frac{A_{2}}{A_{1}} = \frac{16}{1}$