Achieve #18


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lilyhoke 2E
Posts: 40
Joined: Fri Sep 29, 2023 10:35 am

Achieve #18

Postby lilyhoke 2E » Sun Oct 29, 2023 9:46 pm

I have been working at problem 18 of the achieve homework, but keep getting wrong answers. I understand we need to use the Heisenberg equation, but I don't feel confident in applying it. Could someone walk me through the steps they took in solving this?

sambrown12
Posts: 82
Joined: Fri Sep 29, 2023 11:04 am

Re: Achieve #18

Postby sambrown12 » Sun Oct 29, 2023 10:00 pm

Hi! In order to solve it, I just plugged in all of the values that were given to us. I used Planck's constant, delta v, and the mass of an electron (plus 4 pi). Thats how I got my answer at least!

Hope this helps!

605988349
Posts: 80
Joined: Fri Sep 29, 2023 10:39 am

Re: Achieve #18

Postby 605988349 » Sun Oct 29, 2023 10:48 pm

Hi!

In more details it would the formula provided delta >- h/4pimdeltav (the equation is stated in the problem)

Now, we now that h is Planck's constant = 6.62608*10^34J.s
pi = 3.14
delta v (is given)= 0.01*10^6 m/s
mass of an electron (since this is a problem about the position of an electron, also remains the same throughout all problems) = 9.11*10^-31kg

Now, since we have all the data needed, we can just input it into the formula which would look like:

delta x >- (6.626*10^-34kg.m^2/s) /(4(3.14)(9.11*10^-31kg)(0.01*10^6m/s))

which is about 5.79*10^-9m

Hope this clarifies more the steps!


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