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The given plot shows the variation of $U,$ the potential energy of interaction between two particles, with the distance separating them is $r$
(i) B and D are equilibrium points.
(ii) C is a point of stable equilibrium

(iii) The force of interaction between two particles is attractive between points C and B, and repulsive between points D and E on the curve.
(iv) The force of interaction between the particles is repulsive between points C and A.
Which of the following statements are correct?

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(i) and (iii)

(ii) and (iii)

(i) and (iv)

(ii) and (iv)

answer is C.

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Detailed Solution

At point C the potential energy is minimum, hence it is a point of stable equilibrium. Also from C to A, the slope is negative (i.e) $\frac{d U}{d r} < 0.$ Hence the force of interaction between the particles is repulsive between points C and A.

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