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Question

The given plot shows the variation of U, the potential energy of interaction between two particles with the distance separating them be r, then which of the following is correct?
(1) B and D are equilibrium points
(2) C is a point of stable equilibrium
(3) The force of interaction between the two particles is attractive between points C and D and repulsive between points D and E on the curve.
(4) The force of interaction between the particles is repulsive between points E and F on the curve.

188714_7477f18cd4e144068005d43cdce9d116.png

A
1 and 3
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B
1 and 4
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C
2 and 4
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D
2 and 3
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Solution

The correct option is C 2 and 4
weknowthatdU=FdrF=dUdrForequilibriumpositionF=0dUdr=0So,pointCistheequilibriumpositionAlsod2Udx2>0atpointC,ThereforepointCisthepointofstableequilibriumbetweenDandE,dU>0Fdr>0Fdr<0BothFanddrareinoppositedirectionThereforebetweenDandEforceisattractiveSimilarly,betweenpointsEandFFdr>0BothFanddrareinthesamedirectionThereforebetweenEandFforceisrepulsive

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