How to find the wavelength of a particle with mass?

In summary, the conversation discusses a question about finding the deBroglie wavelength of a particle with mass, with a given speed. The questioner presents their attempt at a solution and asks for confirmation of its correctness. The conversation concludes with a comment on the typical size of the answer.
  • #1
nukeman
655
0

Homework Statement



Does the following question ask what my title says? I study pack says "How to find the wavelength of a particle with mass?" So, is the following question good?

Question: What is the deBroglie wavelength of an electrion with a speed of 2.2x10^6 m/s

Answer I got: First, calculate the momentum, P=MV
(9.11x10^-31)(2.2x10^6m/s) = 2x10^-24

So... Wavelength = h/p = 6.62x10^34/2x10^-24

= 3.33x10^-10

Is this correct guys? Thanks!



Homework Equations





The Attempt at a Solution

 
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  • #2
nukeman said:

Homework Statement



Does the following question ask what my title says? I study pack says "How to find the wavelength of a particle with mass?" So, is the following question good?

Question: What is the deBroglie wavelength of an electrion with a speed of 2.2x10^6 m/s

Answer I got: First, calculate the momentum, P=MV
(9.11x10^-31)(2.2x10^6m/s) = 2x10^-24

So... Wavelength = h/p = 6.62x10^34/2x10^-24

= 3.33x10^-10

Is this correct guys? Thanks!



Homework Equations





The Attempt at a Solution


The method is good - I assume you calculated correctly at each step. That answer is certainly a typical size.
 

FAQ: How to find the wavelength of a particle with mass?

What is the equation for finding the wavelength of a particle with mass?

The equation for finding the wavelength of a particle with mass is given by the de Broglie wavelength equation: λ = h/mv, where λ is the wavelength, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle.

How does the mass of a particle affect its wavelength?

The mass of a particle is inversely proportional to its wavelength. This means that as the mass of a particle increases, its wavelength decreases. This relationship is described by the de Broglie wavelength equation, where a larger mass in the denominator leads to a smaller wavelength.

Can the wavelength of a particle with mass be measured directly?

No, the wavelength of a particle with mass cannot be measured directly. It can only be calculated using the de Broglie wavelength equation, by knowing the values of Planck's constant, the mass of the particle, and its velocity.

How does the velocity of a particle affect its wavelength?

The velocity of a particle is directly proportional to its wavelength. This means that as the velocity of a particle increases, its wavelength also increases. This relationship is described by the de Broglie wavelength equation, where a larger velocity in the numerator leads to a larger wavelength.

Are there any limitations to using the de Broglie wavelength equation to find the wavelength of a particle with mass?

Yes, there are limitations to using the de Broglie wavelength equation. It is only applicable to particles with non-relativistic velocities, meaning that they are not moving at speeds close to the speed of light. Additionally, it does not take into account any quantum effects or interactions with other particles, which can affect the wavelength of a particle. Therefore, it is important to consider these limitations when using the equation to find the wavelength of a particle with mass.

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