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anonymous
 4 years ago
Estimate the wavelength (in nm) of such a proton moving at 2.81x10^8 m/s (mass of a proton = 1.673x10^27 kg).
anonymous
 4 years ago
Estimate the wavelength (in nm) of such a proton moving at 2.81x10^8 m/s (mass of a proton = 1.673x10^27 kg).

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Xishem
 4 years ago
Best ResponseYou've already chosen the best response.1To look at a particle as a wave, we need to us the de Broglie equation...\[\lambda = \frac{h}{mv}\]Where... Lambda is the wavelength. h is Planck's constant m is the mass of the particle, and v is the velocity of the particle This is easy enough. It's already solved for the value we want to find, so we can just plug in some numbers...\[\lambda = \frac{6.626*10^{34}J*s}{(1.673*10^{27}kg)(2.81*10^{8}m*s^{1})}\] All of the units cancel appropriately to give us the wavelength in meters...\[\lambda = 1.41m*10^{15}*(\frac{1*10^9nm}{1m})=1.41*10^{6}nm\]
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