Calculate Binding Energy per Nucleon for 2H, 24Mg, 32S & 238U

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The discussion focuses on calculating the binding energy per nucleon for the nuclei 2H, 24Mg, 32S, and 238U using atomic mass data. The formula E=mc^2 is applied, but there are concerns about unit consistency and the accuracy of nucleon masses. A specific example calculation for 32S reveals a discrepancy in the expected mass values. Participants emphasize the importance of using correct atomic mass units and proper unit handling in calculations. The conversation highlights common pitfalls in nuclear physics calculations, particularly regarding nucleon mass approximations.
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Homework Statement



Calculate the binding energy per nucleon for each of the following nuclei. (Use the table of atomic masses as necessary.)

(a) 2H


(b) 24Mg


(c) 32S


(d) 238U


These are all in MeV by the way.

Homework Equations



E=mc^2

The Attempt at a Solution



I found for example c:

32-31.972071= .027929

.027929*(3E8^2)/32

What am I doing wrong?
 
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If you add units (always do this!), you should see an issue.
Another problem: protons and neutrons don't weight 1u.
 
(a) The polarisation pattern is elliptical with maximum (1,1) and minimum (-1,-1), and anticlockwise in direction. (b) I know the solution is a quarter-wave plate oriented π/4, and half-wave plate at π/16, but don't understand how to reach there. I've obtained the polarisation vector (cos π/8, isin π/8) so far. I can't find much online guidance or textbook material working through this topic, so I'd appreciate any help I can get. Also, if anyone could let me know where I can get more...

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