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Q.

Referring the graphs, which of the following is/are correct

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a

The particle has stable equilibrium at points 3 and b.

b

The particle is in neutral equilibrium at points b and 2.

c

No power is delivered by the force on the particle at points 1, 3, and b.

d

The particle has least kinetic energy at position 1.

answer is A.

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Detailed Solution

Option (a) is correct because at 3, force is opposite to displacement.At (b), u is minimum.Option (b) is incorrect because at 2, there is net force and hence no equilibrium.Option (c) is correct because at 1, 3 and (b) force is zero.du At (b), dudx=−F=0Option (d) is correct. Positive work is done after position 1, hence KE will increase. So KE is least at 1.
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Referring the graphs, which of the following is/are correct