Use the de Broglie's Wave Equation to find the wavelength of a 2.22 g ball moving at 2 m/s. Please show your work. Note: h = Plank's constant (6.62607 x 10-34 J s) ?

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1 Answer
Nam D.
Jun 29, 2018

#1.49*10^-31# meters

Explanation:

de Broglie wavelength of an object is given by the equation:

#lambda=h/(mv)#

where:

  • #lambda# is the wavelength of the object in meters

  • #h# is Planck's constant, which is #6.62607*10^-34 \ "J s"#.

  • #m# is the mass of the object in kilograms

  • #v# is the velocity of the object in meters per second

So, we get:

#lambda=(6.62607*10^-34 \ "J s")/(2.22*10^-3 \ "kg"*2 \ "m/s")#

#=(6.62607*10^-34 \ "kg m"^2"s"^-2*"s")/(4.44*10^-3 \ "kg ms"^-1)#

#=(6.62607*10^-34 \ "kg m"^2"s"^-1)/(4.44*10^-3 \ "kg ms"^-1)#

#=(6.62607*10^-34color(red)cancelcolor(black)("kg m"^2)^"m"color(red)cancelcolor(black)("s"^-1))/(4.44*10^-3color(red)cancelcolor(black)("kg m")color(red)cancelcolor(black)("s"^-1))#

#=1.49*10^-31 \ "m"#

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