Proton kinetic energy from de Broglie wavelength

Practice question

Question

A proton has a de Broglie wavelength of 1.5 × 10⁻¹² m. What is its kinetic energy? (h = 6.626 × 10⁻³⁴ J s, mₚ = 1.67 × 10⁻²⁷ kg)

Choose one · Correct answer highlighted

2.918 × 10⁻¹⁷ J 8.756 × 10⁻¹⁷ J 3.975 × 10⁻¹⁷ J 5.837 × 10⁻¹⁷ J Correct

v = h/(mλ) = 2.645×10⁵ m s⁻¹. KE = ½mv² = 5.837×10⁻¹⁷ J.

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