1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are vectors. a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed? b) What is the uncertainty in the runner's velocity if the position is to be determined within one wavelength?

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Chapter1: Units, Trigonometry. And Vectors
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1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any
matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are
vectors.
a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the
wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed?
b) What is the uncertainty in the runner's velocity if the position is to be determined within one
wavelength?
Transcribed Image Text:1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are vectors. a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed? b) What is the uncertainty in the runner's velocity if the position is to be determined within one wavelength?
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