De Broglie Wavelength and Wave Nature of a Bullet: Explanation and Significance

In summary, the question asks about the wavelength associated with a bullet of mass 41g traveling at 960m/s and why the wave nature of the bullet does not reveal itself through diffraction effects. The answer is found using the de Broglie wave length formula, but the reason for the lack of diffraction effects is because the wavelength is so small that it is negligible. The correct formula for the de Broglie wavelength is h/mv, not h/mc as initially stated. Thanks to Bill K. for pointing out the mistake.
  • #1
abrowaqas
114
0
This question appeared in my exam .

Q. A bullet of mass 41g travels at 960m/s. what wavelength can we associate with it?
why does the wave nature of the bullet not reveal itself though diffraction effects?

Ans..

i find de broglie wave length by formula

lamda = h/mc

but didnt able to give answer of the WHY question?

somebody help what does it mean?
 
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  • #2
Why? Just because the wavelength is so small that diffraction effects are negligible. By the way, you've got the two wavelengths confused. h/mc is the Compton wavelength. The be Broglie wavelength is h/mv.
 
  • #3
thanks bill k..
yes i put the h/mv..

but written wrong reason there..
 

1. What is the De Broglie explanation?

The De Broglie explanation is a scientific theory proposed by Louis de Broglie in 1924. It suggests that all particles, including subatomic particles like electrons, have both wave-like and particle-like properties. This theory helps to explain the behavior of matter on a quantum scale.

2. How does the De Broglie explanation relate to the wave-particle duality?

The De Broglie explanation is closely related to the wave-particle duality, which states that particles can behave as both waves and particles. This concept is supported by experimental evidence, such as the double-slit experiment, where particles exhibit interference patterns like waves. De Broglie's theory provides a mathematical explanation for this phenomenon.

3. What is the De Broglie wavelength?

The De Broglie wavelength is the wavelength associated with a particle, given by the equation λ = h/mv, where h is Planck's constant, m is the mass of the particle, and v is its velocity. This wavelength represents the wave-like nature of particles and helps to determine the probability of their position in space.

4. How does the De Broglie explanation relate to the Schrödinger equation?

The De Broglie explanation is a key component of the Schrödinger equation, which is the fundamental equation of quantum mechanics. De Broglie's theory provides a physical interpretation for the mathematical equation, linking the wave function to the De Broglie wavelength and describing the behavior of particles on a quantum scale.

5. What are the practical applications of the De Broglie explanation?

The De Broglie explanation has several practical applications in the field of quantum mechanics, including the development of technologies such as electron microscopy, particle accelerators, and quantum computers. It also helps to understand the behavior of particles in physical systems and has implications for the study of fundamental particles and the universe's structure.

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