Clarification of homework question meaning

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The homework question involves calculating the relative uncertainty in an electron's momentum given its position uncertainty matches its de Broglie wavelength. The uncertainty principle states that ΔxΔp ≥ h(bar)/2, which is crucial for solving the problem. There was initial confusion about whether to find Δp or the ratio Δp/p, but clarification indicates that the focus should be on the relative uncertainty Δp/p. Understanding that Δx is related to momentum is key to solving the problem correctly. The discussion emphasizes the importance of accurately interpreting the question to arrive at the right solution.
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Homework Statement



Suppose you measured the x-component of position of an electron to an accuracy
matching it’s de Broglie wavelength, i.e., Δx = lambda/2. What is the relative
uncertainty in the electron’s x-component of momentum, Δp/p?


Homework Equations



ΔxΔp >= h(bar)/2


The Attempt at a Solution



I just wanted to clarify that relative uncertainty is Δp, not Δp/p. My professor writes these questions and is currently sick, so I feel like he may have not been thinking completely clearly... I am finding Δp, and not the ratio Δp/p? I am pretty sure I merely need Δp.
 
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I'm pretty sure that your professor does want you to find what the relative uncertainty is (which is Δp/p).

The key to this problem is that Δx depends on p.
 
ooh, okay, I got it now, thanks!
 

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