Bond Strength and Force constant

  • #1
Muthumanimaran
81
2

Homework Statement


3.png


Homework Equations




The Attempt at a Solution


(a) Total energy is
$$E=\frac{-e^2}{4\pi\epsilon_{0}R}-\frac{B}{R^{5/6}}$$

Taking derivative of E with respect to R and equating it to zero when R=R0 yields,
i.e,
$$\frac{dE}{dR}{\bigg|}_{R=R_0}=0$$
when R=R0
yields,
$$B=\frac{3e^2}{10\pi\epsilon_{0}{R_{0}}^{1/6}}$$

How to proceed with part (b) and part (c)? giving me hints to solve this problem is highly helpful.
 

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Answers and Replies

  • #2
haruspex
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There seems to be a problem with the signs. Doesn't your energy expression lead to a negative value for B?
 
  • #3
mjc123
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You haven't finished part a yet. The question asks you to calculate a value.
For b and c, What is the definition of bond energy? What is the definition of spring constant? If you don't know equations for finding these, can you work them out by thinking logically about the situation?
 

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