A neutron with a mass of 1.68x10^-24g moves from a nuclear reactor with a velocity of 3.22 x 10^3 m/s. What is the de Broglie wavelength of the neutron?
1 Answer
Mar 3, 2018
For a mass-ive particle, the de Broglie wavelength is given by
#lambda = h/(mv)# where
#h# is Planck's constant in#"J"cdot"s"# ,#m# is mass in#"kg"# , and#v# is velocity in#"m/s"# .
Therefore:
#color(blue)(lambda) = (6.626 xx 10^(-34) cancel"kg"cdot"m"^cancel(2)"/"cancel"s")/(1.68 xx 10^(-27) cancel"kg" cdot 3.22 xx 10^3 cancel"m/s")#
#= 1.23 xx 10^(-10) "m"#
#= color(blue)(1.23color(white)(.)Å)#
