Work by a Variable Force question from JEE Main 2022 (26 Jun, Shift 2)

Answer: (a)

1. Work = signed area under each $F$-$x$ graph (below the axis counts negative).
2. (a): small negative triangle $(0 \to x_0)$ + positive triangle $(x_0 \to x_1)$.
3. (b): same as (a) plus a positive rectangle $(x_1 \to x_2)$, so $W_2 > W_1$.
4. (c): same as (b) plus a positive triangle beyond $x_2$, so $W_3 > W_2$.
5. (d): a small positive part, then a large negative area up to $x_2$; net is the least, so $W_4$ is smallest.
6. So the answer is (a) $W_3 > W_2 > W_1 > W_4$.