A baseball weighs 220 g. Top speed for a professional pitcher is about 100 mph when he throws a fast ball. Find the de Broglie wavelength (in nm) associated with a baseball that is moving with a velocity of 42 mph

is the de Broglie wavelength associated with a baseball that is moving with a velocity of 42 mph.

Explanation:

De-Broglie's wavelength, which is:

where,

= De-Broglie's wavelength = ?

h = Planck's constant =

m = mass of particle  =

v = velocity of the particle

We have :

Mass of baseball = m = 220 g = 0.220 kg ( 1g = 0.001 kg)

Velocity of the base ball = v = 42mph =

1 m/s = 2.237 mph

De-Broglie wavelength of the baseball at v:

=1.604\times 10^{-34} m=1.604\times 10^{-25} nm[/tex]

is the de Broglie wavelength associated with a baseball that is moving with a velocity of 42 mph.