You need to use the de Broglie expression to get an object's wavelength:
sf(lambda=h/(mv))
sf(lambda) is the wavelength
sf(h) is the Planck Constant = sf(6.63xx10^(-34)color(white)(x)Js)
sf(m) is the mass
sf(v) is the velocity
You need to get everything into standard units.
sf(1000color(white)(x)"g"=1"kg")
:.sf(m=145color(white)(x)"g"=145/1000kg=0.145color(white)(x)kg)
sf(60s=1"min")
sf(60min=1hr)
:.sf(1hr=60xx60=3600s)
sf(1000m=1km)
:.sf(v=(141,000)/(3600)=39.16color(white)(x)"m/s")
Now put in the numbers:
sf(lambda=(6.63xx10^(-34))/(0.145xx39.16)m)
sf(lambda=1.167xx10^(-34)color(white)(x)m)
sf(1nm=10^(-9)m)
To convert m to nm we divide by sf(10^(-9)rArr)
sf(lambda=(1.167xx10^(-34))/(10^(-9))=1.17xx10^(-25)color(white)(x)nm)
