AMU Engineering 2018 solved paper Solved Paper

As we know, for a conservative force field
dU=−Fcondr
where, dU= change in potential energy,
Fcon = conservative force (or Fin )
and dr= change in position of the particle.
dU=−Findror ΔU=−

r2

∫

r1

Findr
U2−U1=−

r2

∫

r1

Fin dr=− work done by Fin (or Win )
2For graph (i), Win =

F1.x1

2

For graph (ii), Win =F1.x1
and for graph (iii), Win =

−F1.x1

2

Thus, change in potential energy
For graph (i), ΔU1=

−F1x1

2

graph (ii) ΔU2=−F1x1 graph, (iii) ΔU3=

F1x1

2

Thus, we have,
ΔU2<ΔU1<ΔU3 (according to the question)
or (ii) < (i) < (iii)