Q 11-05-123JEE MainJEE Main 2022 (26 Jun, Shift 2)Medium
Arrange the four graphs in descending order of total work done, where $W_1, W_2, W_3$ and $W_4$ are the work done corresponding to figures $a, b, c$ and $d$ respectively.
Answer: (A) $W_3 > W_2 > W_1 > W_4$
Work is the signed area under each $F$–$x$ graph.
(a) The negative and positive triangles are equal, so $W_1 = 0$.
(b) The two triangles cancel, leaving the positive rectangle from $x_1$ to $x_2$: $W_2 > 0$.
(c) Same as (b) plus an extra positive triangle after $x_2$: $W_3 > W_2$.
(d) The triangles before $x_1$ cancel, the rectangle from $x_1$ to $x_2$ is negative and larger than the small positive triangle at the end: $W_4 < 0$.
Hence $W_3 > W_2 > W_1 > W_4$.
Solution by Sreeraj P, M.Sc Physics