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Q.

The potential energy of a particle of mass 0.1kg.  Moving along the x-axis, is given by   U=5xx4J where x is in meter. It can be concluded that

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a

The speed of the particle is maximum at x=2m.

b

The particle executes SHM.

c

The period of oscillation of the particle is  π5 sec.

d

The particle is acted upon by a constant force.

answer is B, C, D.

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Detailed Solution

m=0.1kg  Moving xaxis

Potential energy  U=5xx4J

F=dUdx=ddx5xx4

F=ddx5x220x

F=10x+20

 Particle execute SHM about 20m,

At x=2 then F=0

It is mean position velocity is maximum ω=km=100.1=10

T=2πω=π5sec

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