A bullet leaves the barrel of a rifle with a speed of 300.0 m / s. The mass of the bullet is 10

step 1 In question A, we have to find what is the Debrilis wavelength of a bullet that has a mass of 10

A bullet leaves the barrel of a rifle with a speed of 300.0...

A bullet leaves the barrel of a rifle with a speed of $300.0 \mathrm{~m} / \mathrm{s}$. The mass of the bullet is $10.0 \mathrm{~g}$. (a) What is the de Broglie wavelength of the bullet? (b) Compare $\lambda$ to the diameter of a proton (about $1 \mathrm{fm}$ ). (c) Is it possible to observe wave properties of the bullet, such as diffraction? Explain.

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Key Concepts

de Broglie Wavelength

This concept refers to the idea that every particle with momentum has an associated wavelength, given by the formula ? = h/p, where h is Planck’s constant and p is the momentum of the particle. It is foundational in quantum mechanics, linking the particle-like and wave-like behaviors of matter.

Wave-Particle Duality

Wave-particle duality is the principle that every particle or quantum entity exhibits both wave-like and particle-like properties. It is a core concept in quantum mechanics that explains phenomena such as interference and diffraction, typically observable at atomic and subatomic scales.

Observability of Quantum Effects

This involves understanding that while microscopic particles exhibit clear quantum behavior like diffraction and interference, macroscopic objects (with large mass and momentum) have de Broglie wavelengths that are extremely small. As a result, any wave properties become negligible at such scales, making them unobservable in practical experiments.

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