If the potential energy between two molecules is given by $$U=$$−$$Ar6+Br12$$, then at equilibrium, separation between molecules, and the potential energy are :

Correct option is 42BA16, −A24B

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If the potential energy between two molecules is given by $U = - \frac{A}{r^{6}} + \frac{B}{r^{12}},$ then at equilibrium, separation between molecules, and the potential energy are :

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BA16, 0

B2A16, −A22B

2BA16, −A22B

2BA16, −A24B

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detailed solution

Correct option is D

U=−Ar6+Br12 For equilibrium, net force should be zero.⇒F=-dUdr=0⇒6Ar7=12Br13∴r=2BA16 and U=−A24B

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If the potential energy between two molecules is given by U=−Ar6+Br12, then at equilibrium, separation between molecules, and the potential energy are :

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Ready to Test Your Skills?

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If the potential energy between two molecules is given by $U = - \frac{A}{r^{6}} + \frac{B}{r^{12}},$ then at equilibrium, separation between molecules, and the potential energy are :