Substitute known quantities and solve for the unknown quantities. (cont.) Solving the uncertainty principle expression f
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Substitute known quantities and solve for the unknown quantities. (cont.) Solving the uncertainty principle expression f
Substitute known quantities and solve for the unknown quantities. (cont.) Solving the uncertainty principle expression for Av. the uncertainty in the x-component of the electron's velocity, we find h Av, a ARM Ax where m,-9.11x10-31 kg. Substituting known values gives h 6.63 x 104) s Av 22 - 29.0 m/s, 4km Ax 4x(9.11x 10 kg)(2.00×10 m) so that Av 2 29.0 m/s, and the minimum uncertainty is (Av)min 29.0 m/s. The electron's x-component of velocity has a mininkum uncertainty of 29.0 m/s. Note the following two points: This minimum uncertainty does not specify the actual uncertainty in the measurement, it only gives the smallest possible value. These uncertainties for quantities along the x-axis have no impact on any uncertainties along a different axis, the y-axis, for example. What is the minimum uncertainty (Av)min in the x-component of the proton's velocity? m/s
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