A pro tennis playerâs serve can reach speeds of more than 100 mph. Compare the de Broglie wavelength of an electron moving with a velocity of 5.0 x 10^6 m/s with that of a tennis ball traveling at 56.0 m/s.

Mass of e-= 9.11 x 10^-31kg

Mass of tennis ball = 0.0567 kg

h= 6.626 x 10^-34 JÂ·s and 1 J = 1kgÂ·m^2 s^-2

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1. (A) Find the de Broglie wavelength (in nm) associated with an electron that is moving with a velocity of 2310 km/s. The electron rest mass is 9.11 x 10^-31 kg.

Note, electrons having this speed would need to be treated as waves in atoms because the wavelength is on the order of the size of atoms.

(B) 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 87 mph.

(C) What is the wavelength (in nm) of the line in the spectrum of the hydrogen atom that arises from the transition of the electron from the orbital with n =3 to the orbital with n = 2?

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1. A baseball weighs 220 g. Top speed for a professional pitcher isabout 100 mph when he throws a fast ball. Find the de Brogliewavelength (in nm) associated with a baseball that is moving with avelocity of 70 mph.

2. Find theuncertainty in position (in nm) associated with an electron that ismoving with a velocity of 417 km/s. The uncertainty in the velocityis 5.00%. The electron rest mass is 9.11 x 10^-31 kg.(Use delta x * delta v >= h/4 pi m; Hint: > is ignored forthis type of problem)

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