Calculate the de Brogile wavelength of a proton travelig at 3.89 x 10^8 m/s if the mass of the hydrogen molecule is 1.67 x 10^-24 g.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Calculate the de Brogile wavelength of a proton travelig at 3.89 x 10^8 m/s if the mass of the hydrogen molecule is 1.67 x 10^-24 g. 

Expert Solution
Step 1

The de Broglie hypothesis:

De Broglie proposed that just as light has both wave-like and particle-like properties, electrons and all other particles also have wave-like properties. The relationship between the wavelength, λ, associated with a particle and its momentum, p is given by:

Chemistry homework question answer, step 1, image 1

Where ? = wavelength of the particle =?

h = Plank constant = 6.626×10-34 J.s

P = momentum of the particles 

m = mass of the particle = 1.67 x 10^-24 g. 

V = velocity of the particle = 3.89 x 10^8 m/s

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