Be sure to answer all parts. A baseball pitcher's fastballs have been clocked at about 97 mph (1 mile = 1609 m). (a) Calculate the wavelength of a 0.148−kg baseball (in nm) at this speed. × 10 nm (Enter your answer in scientific notation) (b) What is the wavelength of a hydrogen atom at the same speed? nm

a) The wavelength of the baseball is .

b) 9.131 nm is the wavelength of a hydrogen atom at the 43.35 m/s.

Explanation:

Velocity of the baseball = v = 97 mile/hour

1 mile = 1609 meter

1 hour = 3600 seconds

Mass of baseball = m = 0.148 kg

Wavelength of the baseball:

    De Broglie wavelength

h =Planck's constant

The wavelength of the baseball is .

b)

Mass of the hydrogen atom =

Velocity of hydrogen atom = u = 43.35 m/s

   De Broglie wavelength

9.131 nm is the wavelength of a hydrogen atom at the 43.35 m/s.