The de Broglie wavelength of an electron (m = 9.11 × 10^-³¹ kg) is 1.2 × 10^-¹⁰ m. Determine the kinetic energy of the electron. A)1.5 × 10^-¹⁵ J B)1.6 × 10^-¹⁶ J C)1.7 × 10^-¹⁷ J D)1.8 × 10^-¹⁸ J E)1.9 × 10^-¹⁹ J

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Quizplus · Accepted Answer

The de Broglie wavelength λ is given by λ = h/p, where h is Planck's constant and p is momentum. Solving for p and using p = mv, we find the velocity. The kinetic energy KE is then (1/2)mv². Calculating gives KE ≈ 1.7 × 10⁻¹⁷ J.

The De Broglie Wavelength of an Electron (M = 9