At what speed (m/s)must a 10.0-mg object be moving to have a de Broglie wavelength of 3.3 × 10^-41 m? A)4.1 m/s B)1.9 × 10^-11 m/s C)2.0 × 10¹² m/s D)3.3 × 10^-42 m/s E)1.9 × 10¹³ m/s

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Quizplus · Accepted Answer

The de Broglie wavelength is given by the equation λ = h/p, where h is Planck's constant and p is the momentum of the object. The momentum of the object is given by the equation p = mv, where m is the mass of the object and v is its velocity. Substituting these equations into the first equation, we get λ = h/mv. Solving for v, we get v = h/mλ. Plugging in the given values, we get v = (6.63 × 10^-34 J s)/(10.0 × 10^-12 kg)(3.3 × 10^-41 m) = 2.0 × 10^12 m/s.

At What Speed (M/s)must a 10