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At what velocity will an electron have a wavelength of 1.00 m?

$7.28 \times 10^{-4} \mathrm{m} / \mathrm{s}$

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

Rutgers, The State University of New Jersey

University of Washington

University of Winnipeg

Lectures

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in this problem, we're asked to calculate the velocity that an electron has if it has a wavelength of one meter. So our wavelength equals planks constant, divided by linear momentum and linear momentum could be calculated by mass times velocity. So wavelength is equal to planks constant divided by mass times velocity. We can multiply by velocity to both sides and then divide by wave wings so that we get velocity equals planks divided by mass times wavelength. So our planks constant is 6.63 times 10 to the negative, 34 jewels per second time seconds. And our mass of an electron in this case is not 0.11 times 10 to the negative 31. And our wavelength, we said, was one meter. So our velocity is 7.28 times 10 to the negative four meters per second.

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