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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

FIGURE Q39.6 shows wave packets for particles 1, 2, and 3. Which particle can have its velocity known most precisely? Explain.

The velocity of particle 1 is the most exact.

See the step by step solution

Step by Step Solution

Step 1: Given information

Given: Graphs for wave functions of each particle.

Step 2: Which particle has most precise wavelength.

When compared to particle 1, the wave functions of particles 2 and 3 are less spatially stretched. The more specific the position is known, the less precise the momentum is known, according to Heisenberg's Uncertainty Principle. Particles 2 and 3 have more exact position because their wave functions are less spatially stretched, but they have less precise momentum.

The most exact momentum belongs to particle 1.

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