Need help on uncertainty principle

AI Thread Summary
To determine if a neutron can exist in a nucleus, its wavelength must be less than the nucleus's size, approximately 2 x 10^-15 m. The uncertainty principle can be applied to show that a neutron's kinetic energy is significantly lower than its rest mass energy. The discussion highlights the challenge of calculating energy without knowing time, suggesting the use of the position-momentum form of the uncertainty principle instead. Participants are encouraged to provide guidance on solving the problem. The thread emphasizes the importance of understanding the relationship between energy, time, and the uncertainty principle in quantum mechanics.
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Homework Statement


In order for a neutron can exist in a nucleus, its wavelength must be smaller than the size of the nucleus (say 2 x 10-15 m)
Use the uncertainty principle to calculate and show that a neutron would have a kinetic energy much smaller than its rest mass energy


Homework Equations



ΔE Δt > h/4π


The Attempt at a Solution



I had no clue in how to solve this problem. At first, I was thinking to solve for E, but figured that I don't know how to calculate for t.

Can anyone help me with this question?
 
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There's another version of the uncertainty principle, involving position and momentum. Try that.

p.s. welcome to PF.
 

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