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Q.

A particle with the total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when

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a

U(x)<E

b

U(x) =0

c

U(x)E

d

U(x)>E

answer is C.

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Detailed Solution

total energy TE =KE+PE

consider a body dropped from a height h, 

at the dropped point , TE=PE

at the point where the body reaches the surface, TE=KE, here PE =0

hence PE TE  U(x)E 

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A particle with the total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when