Question

Particles pass through a single slit of width 2.3 mm (see Figure 29.15). The de Broglie wavelength of each particle is 500 nm. After the particles pass through the slit, they spread out over a range of angles. Assume that the uncertainty in the position of the particles is one-half the width of the slit, and use the Heisenberg uncertainty principle to determine the minimum range of angles. Moving electron P_x W Single slit ?P_y ? P_x First dark fringe Midpoint of central bright fringe First dark fringe Screen Figure 29.15 ? =

Uploaded: 2021-09-02T20:22:10-08:00
Duration: 3 min 10 s
Channel: Umar Sohail Qureshi

          Particles pass through a single slit of width 2.3 mm (see Figure 29.15). The de Broglie wavelength of each particle is 500 nm. After the particles pass through the slit, they spread out over a range of angles. Assume that the uncertainty in the position of the particles is one-half the width of the slit, and use the Heisenberg uncertainty principle to determine the minimum range of angles. Moving electron P_x W Single slit ?P_y ? P_x First dark fringe Midpoint of central bright fringe First dark fringe Screen Figure 29.15 ? =

Particles pass through a single slit of width 2.3 mm (see Figure 29.15). The de Broglie wavelength of each particle is 500 nm. After the particles pass through the slit, they spread out over a range of angles. Assume that the uncertainty in the position of the particles is one-half the width of the slit, and use the Heisenberg uncertainty principle to determine the minimum range of angles. Moving electron Px W Single slit ?Py ? Px First dark fringe Midpoint of central bright fringe First dark fringe Screen Figure 29.15 ? =

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Umar Sohail Qureshi

09/02/2021

Step 1

The Heisenberg uncertainty principle states that the product of the uncertainties in the position and momentum of a particle is greater than or equal to a certain constant. Mathematically, this is expressed as Δx * Δp ≥ h/4π, where Δx is the uncertainty in Show more…

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Particles pass through a single slit of width 2.3 mm (see Figure 29.15). The de Broglie wavelength of each particle is 500 nm. After the particles pass through the slit, they spread out over a range of angles. Assume that the uncertainty in the position of the particles is one-half the width of the slit, and use the Heisenberg uncertainty principle to determine the minimum range of angles.