Question 1.43


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Karla_Coronado_1J
Posts: 26
Joined: Wed Sep 21, 2016 3:00 pm

Question 1.43

Postby Karla_Coronado_1J » Mon Oct 03, 2016 10:56 pm

The problem reads: What is the minimum uncertainty in the speed of an electron confined to within a lead atom of diameter 350. pm? Model the atom as a one-dimensional box with length equal to the diameter of the actual atom.

I looked at the solutions manual and h is being solved for. I am confused because I thought h was a constant (6.626 x 10 ^-34), so why do we need to solve for it?

Thank you!

Manpreet Singh 1N
Posts: 41
Joined: Wed Sep 21, 2016 2:59 pm
Been upvoted: 1 time

Re: Question 1.43

Postby Manpreet Singh 1N » Mon Oct 03, 2016 11:58 pm

Hello,

h is a constant. However in this answer manual it uses h bar, which is equal to h/(2pi)
when you do the math (6.626x10^-34)/(2pi)=1.0546x10^-34.

just to make it clear (h bar)/2 is the same as h/(4pi).

in the solution manual it has 1/2 separated. But if you do it with h/4pi instead, you should get the same answer.
Hope that helps :)

Karla_Coronado_1J
Posts: 26
Joined: Wed Sep 21, 2016 3:00 pm

Re: Question 1.43

Postby Karla_Coronado_1J » Tue Oct 04, 2016 12:54 am

Yes, that helped a lot! Thank you!


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