Massive Particle de Broglie Wavelength

Classical Mechanics Level 1

Compute the de Broglie wavelength of a massive particle with mass $1 \text{ g}$ traveling at $1 \text{ m}/\text{s}$ .

6.63 \times 10^{-28} \text{ m}

6.63 \times 10^{-13} \text{ m}

6.63 \times 10^{-34} \text{ m}

6.63 \times 10^{-31} \text{ m}

1 solution

Trenton Rosenquist
Apr 4, 2016

The formula for the de Broglie wavelength is $\frac {h}{p}$ , where "h" is Planck's constant ( $6.626 \cdot 10^{-34} m^2 \frac {kg}{s}$ ) and "p" is the momentum of the particle ( $mass \times velocity$ ). Since momentum is in units of $kg \cdot \frac {m}{s}$ we must first convert from grams to kilograms (1g $\rightarrow 0.001 kg$ ). Finally, we can input the values into the equation, yielding $\frac {6.626 \cdot 10^{-34} m^2 \frac {kg}{s}}{0.001 kg \cdot 1 \frac {m}{s}}$ = $6.63 \cdot 10^{-31}$ m.

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Mattheos Hailemariam - 6 months, 1 week ago

Massive Particle de Broglie Wavelength

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