De Broglie Wavelength Thought Problem

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SUMMARY

The discussion centers on calculating the de Broglie wavelength of an Ewok with a mass of 50 kg running at a velocity of 0.5 m/s, using a hypothetical Planck's constant value of 1000 Js. The calculated wavelength is 40 m, derived from the formula λ = h/p. Participants debated the implications of such a large wavelength, particularly regarding self-interference, and clarified that the accepted value of Planck's constant is 6.62606957 × 10-34 joule∙second, which would yield a significantly smaller wavelength.

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  • Familiarity with Planck's constant and its significance
  • Basic knowledge of momentum (p = mv)
  • Concept of wave-particle duality in quantum mechanics
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FaraDazed
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Homework Statement


A) Find the wavelength of an Ewok that has a mass of 50kg and is Running on Edor where 'h' id 1000Js at a velocity of 0.5m/s

Yes the value of h to be used is 1000.

B) What would the implications of him running be?

Homework Equations


\lambda=\frac{h}{p}

The Attempt at a Solution


Part A: \lambda=\frac{h}{p} \\<br /> \lambda=\frac{1000}{50 \times 0.5}=40m

For part B: I wasn't quite sure to be honest, but surely with such a large wavelength and running, he would be "interfering" with himself quite badly ?
 
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I don't know where you got the value for Planck's constant but it is not correct. The accepted value is 6.62606957 × 10−34 joule∙second. Use 6.626x10-34 and your calculated DeB λ will be much smaller.
 
daqddyo1 said:
I don't know where you got the value for Planck's constant but it is not correct. The accepted value is 6.62606957 × 10−34 joule∙second. Use 6.626x10-34 and your calculated DeB λ will be much smaller.

This was a thought experiment, the value to be be used for the question is 1000Js. Its an imaginary scenario. A made up example by our lecturer to get us to think what would the implications be.
 
FaraDazed said:
For part B: I wasn't quite sure to be honest, but surely with such a large wavelength and running, he would be "interfering" with himself quite badly ?
Does anything happen to the de Broglie wavelength when he starts running?
 
DrClaude said:
Does anything happen to the de Broglie wavelength when he starts running?

Ah, yeah. The perticular bit of coursework which had this question on has already been handed in but wanted to know if I got it correct or not, plus its interesting to think about.

I assumed they meant constant velocity, but now thinking about it for part B it probably makes sense to assume he is not running at a constant velocity. But yes, if he speeds up then v will get bigger and the wavelength would therefore get shorter and the other way around if he slowed down.
 
FaraDazed said:
I assumed they meant constant velocity
I wouldn't consider 0.5 m/s running, even for an Ewok :wink:
 
DrClaude said:
I wouldn't consider 0.5 m/s running, even for an Ewok :wink:

True, I didn't think of that. They are much smaller though :p
 

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