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Q.

A particle is moving in a conservative force field from A to point B and no other force is acting. $U_{A} a n d U_{B}$ are the potential energies of the particle at points A and B and $W_{C}$ is the positive work done in the process of taking the particle from A to B.

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a

U_{A} > U_{B}

b

U_{B} > U_{A}

c

W_{C} = U_{B}

d

W_{C} = U_{A} + U_{B}

answer is C.

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Detailed Solution

$U_{A} > U_{B}$

Change in kinetic energy or potential energy is work done. Since it's positive the only possibility UA>UB

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A particle is moving in a conservative force field from A to point B and no other force is acting. UA and UB are the potential energies of the particle at points A and B and WC is the positive work done in the process of taking the particle from A to B.