Calculate the de broglie wavelength (in picometers) of a hydrogen atom traveling at 425 m/s.

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Physics

Eileen Matthews

29 September, 02:33

Calculate the de broglie wavelength (in picometers) of a hydrogen atom traveling at 425 m/s.

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Malachi Leach · Answer 1

To find this wavelength, we work with the equation of (momentum) = (Planck's Constant) / (wavelength). Momentum is the mass of the atom multiplied by the speed of the atom. Manipulating the variables gives: Wavelength = (Planck's Constant) / (Mass*Velocity). Plugging in the proper values for each gives: (6.626*10^-34) / (1.67*10^-27) * (425), leading to a value of: Wavelength = 0.00933*10^-7 m, or 933 pm when rounded to 3 significant figures.