SEMF liquid drop model: when does B(ε)-B(0) indicate spontaneous fission?

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Lengalicious
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Homework Statement



See attachment.
Only struggling with (ii).

Homework Equations


The Attempt at a Solution



So ultimately after doing everything, calculating B(ε)-B(0) & assuming z>>1 and z2/A > 47

I find that B(ε)-B(0) > 0.048ε2A2/3

I don't really see how this tells me if the nuclei will spontaneously fission or not, I still haven't used the assumption R is proportional to A1/3 though.

Any help please?
 
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  • Printed exam question 3 on the Liquid Drop Model: prolate ellipsoid nucleus, surface area factor (1 + 2/5 e^2 + ...) and Coulomb energy factor (1 - 1/5 e^2 + ...), parts (i) and (ii).
    3.png
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