What is the de Broglie wavelength of a 243 g baseball with a

What is the de Broglie wavelength of a 243 g baseball with a speed of 30.0 m/s? Express your answer with the appropriate units. What is the speed of a 243 g baseball with a de Broglie wavelength of 0.130 nm? Express your answer with the appropriate units.

Solution

Part A

= h/p

h = planks constant = 6.6 x10^-34 m^2 kg / s

p = momentum = 0.243*33

= (6.6 x10^-34 m^2 kg / s) / 0.243*33

= 8.23 x 10^-35 m

Part B

For v << c, the de Broglie wavelength is given by

= h/(m0*v) or v = h/(m0*)

where

h = planck\'s constant = 6.626*10^-34 J-s

m0 = 0.243 kg

v = 6.626*10^-34 / 0.243*0.130*10^-9) = 2.097*10^-23 m/s