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Identify the relevant quantum physics topic: the photoelectric effect, the dual nature of light and matter, or the uncertainty principle. (cont.) This question deals with the uncertainties in a particle's position and velocity, so the relevant topic is the uncertainty principle. Apply the relevant quantum physics expressions. The uncertainty principle states that If a measurement of the position of a particle is made with precision Ax and a simultaneous measurement of linear momentum is made with precision Ap, the product of the two uncertainties can never be smaller than h/4x. h AxAp, 21 4 The electron and the proton have an x-component of momentum given by p, mv, where m is the particle's mass and v, is the x-component of its velocity. The mass of each particle is known so that Ap, may, Substituting this expression into the uncertainty principle we obtain. h Ax(mav) z where Ax2.00 m2.00- 10 m is the uncertainty in the particle's position along the x-axis and h6.63 104 1-sis Planck's constant. Substitute known quantities and solve for the unknown quantities. What is the minimum uncertainty (Av) in the x-component of the electron's velocity?
Part 3 of 5 Identify the relevant quantum physics topic: the photoelectric effect, the dual nature of light and matter, or the uncertainty principle. (cont.) This question deals with the uncertainties in a particle's position and velocity, so the relevant topic is the uncertainty principle. Apply the relevant quantum physics expressions. The uncertainty principle states that If a measurement of the position of a particle is made with precision Ax and a simultaneous measurement of linear momentum is made with precision Ap,, the product of the two uncertainties can never be smaller than h/4. h AxAp, z The electron and the proton have an x-component of momentum given by p, mv, where m is the particle's mass and v, is the x-component of its velocity. The mass of each particle is known so that Bộ môn Substituting this expression into the uncertainty principle we obtain n Ax(mav,) z where Ax= 2.00 m2.00 x 10 m is the uncertainty in the particle's position along the x-axis and h-6.63 x 10-43-sis Planck's constant. Substitute known quantities and solve for the unknown quantities. What is the minimum uncertainty (armin in the x-component of the electron's velocity? m/s