Calculate the de Broglie wavelength associated with a muon traveling at a velocity of 8.85×10^5 cm/s?
i literally have no idea what this is.
- ReginaldLv 79 years agoFavorite Answer
In order to do this, you must first know the mass of the muon, which isn't given here.
EDIT: I found it in a college physics text, the mass is 206.77 times the mass of an
electron,which the same text gives as 9.108 * 10**-28 gram. So the mass of a muon
is 1.883 * 10**-25 grams (to 3 decimal places).
The formula for the deBroglie wavelength (w) is: w = h/p = h/mv, where p is the
particle's momentum, equal to the product of mass (m) and velocity (v). We can find
p = mv = (1.883 * 10**-25 gm)(8.85 * 10**5 cm/sec) = 1.666 * 10**10**-19 g-cm/sec.
h is Planck's constant, equal to 6.625 * 10**-27 erg-sec.
If we divide Planck's constant by p, we get the wavelength in cm.
w = (6.625 * 10**-27)/(1.666 * 10**-19) = 3.976 * 10**-8 cm.
If you want to convert to meters, just divide by 100.
Hope this helps, and that you understand the steps above.Source(s): college physics