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Q.

The force acting on a particle moving along x–aixs varies with the position of the particle shown in the figure then body is in stable equilibrium at 

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a

x=x1

b

x=x2

c

both  x1 and  x2

d

neither  x1  nor  x2

answer is B.

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Detailed Solution

If particle at  x2 is displaced to right, the force on it is negative and is brought back to x2 . Similarly if particle is displaced to left, the force on it is positive and is again brought back to  x2. Hence the particle is in stable equilibrium at x2 .

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