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Find the value of r that minimizes V(r). r=

Find the value of r that minimizes V(r). r=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

1-4d)

Find the value of r that minimizes V(r). (c) Would you still expect there to be a spacing that minimizes V(r) if A were a negative number? Justify your answer. O A. IfA is a negative number, then V'(r) is negative for all r. Thus there will be no spacing that minimizes V(r). O B. IfA is a negative number, then V'(r) is positive for all r. Thus there will be no spacing that minimizes V(r). OC. IfA is a negative number, then V'(r) is negative for all r. Thus there will be spacing that minimizes V(r). O D. IfA is a negative number, then V'(r) is positive for all r. Thus there will be spacing that minimizes V(r).
Transcribed Image Text:Find the value of r that minimizes V(r). (c) Would you still expect there to be a spacing that minimizes V(r) if A were a negative number? Justify your answer. O A. IfA is a negative number, then V'(r) is negative for all r. Thus there will be no spacing that minimizes V(r). O B. IfA is a negative number, then V'(r) is positive for all r. Thus there will be no spacing that minimizes V(r). OC. IfA is a negative number, then V'(r) is negative for all r. Thus there will be spacing that minimizes V(r). O D. IfA is a negative number, then V'(r) is positive for all r. Thus there will be spacing that minimizes V(r).
One popular model for the interactions between two molecules is the Leonard-Jones 6-3 potential. According to this model, the energy of interaction between two molecules that are distance r apart is given by the following function. Molecules will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficient A is a positive constant. Complete parts (a) through (c). A V(r) =
Transcribed Image Text:One popular model for the interactions between two molecules is the Leonard-Jones 6-3 potential. According to this model, the energy of interaction between two molecules that are distance r apart is given by the following function. Molecules will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficient A is a positive constant. Complete parts (a) through (c). A V(r) =
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