The potential energy is U(x)=E₀ for 01. The total energy is 2E₀. The de Broglie wavelengths in 0≤x≤1 and x1 are λ₁ and λ₂, respectively. Find λ₁/λ₂.

Question

The potential energy is U(x)=E₀ for 01. The total energy is 2E₀. The de Broglie wavelengths in 0≤x≤1 and x>1 are λ₁ and λ₂, respectively. Find λ₁/λ₂.

G1 Physics · Accepted Answer

From the printed question: inside, K₁=2E₀−E₀=E₀; outside, K₂=2E₀. Since λ∝1/√K, λ₁/λ₂=√2. The source answer key prints 2, so the printed question/key appear inconsistent.

The potential energy is U(x)=E₀ for 0<x<1 and U(x)=0 for x>1. The total energy is 2E₀. The de Broglie wavelengths in 0≤x≤1 and x>1 are λ₁ and λ₂, respectively. Find λ₁/λ₂.