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) ?

Please help!

1 Answer
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"