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Question
If the potential energy between two molecules is given by
U = $ - {A \over {{r^6}}} + {B \over {{r^{12}}}}$,
then at equilibrium, separation between molecules, and the potential energy are :
${\left( {{{2B} \over A}} \right)^{1/6}}$, $ - {{{A^2}} \over {4B}}$
${\left( {{{2B} \over A}} \right)^{1/6}}, - {{{A^2}} \over {2B}}$
${\left( {{B \over A}} \right)^{1/6}},0$
${\left( {{B \over {2A}}} \right)^{1/6}}, - {{{A^2}} \over {2B}}$

Solution

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