A particle is moving in a conservative force field from point A to point `B.U_(A)` and `U_(B)` are the potential energies of the particle at point A and B and `W_(C)` is the work done by conservative forces in the process of taking the particle from A and B, which of the following is true?

Options

A. `W_(c)=U_(B)-U_(A)`
B. `W_(C)=U_(A)-U_(B)`
C. `U_(A) gt U_(B)`
D. `U_(B) gt U_(A)`

Answer

B

Explanation

(b) Work done by conservative force =-DeltaU
`rArr " " W_(C)=-(U_(B)-U_(A)) rArr W_(C)=U_(A)-U_(B)`
Initail mechanical energy is same for all.