Arrange the four graphs in descending order of total work done; where $\mathrm{W}_{1}, \mathrm{~W}_{2}, \mathrm{~W}_{3}$ and $\mathrm{W}_{4}$ are the work done corresponding to figure $\mathrm{a}, \mathrm{b}, \mathrm{c}$ and d respectively. Figure-a Figure-b Figure-c Figure-d

(A) $\mathrm{W}_{3}>\mathrm{W}_{2}>\mathrm{W}_{1}>\mathrm{W}_{4}$

(B) $\mathrm{W}_{3}>\mathrm{W}_{2}>\mathrm{W}_{4}>\mathrm{W}_{1}$

(C) $\mathrm{W}_{2}>\mathrm{W}_{3}>\mathrm{W}_{4}>\mathrm{W}_{1}$

(D) $\mathrm{W}_{2}>\mathrm{W}_{3}>\mathrm{W}_{1}>\mathrm{W}_{4}$

JEE Main · 2022 · 26 Jun 2022 · Shift 2 · Work, Power & Energy

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 figure

a, b, c

and d respectively.

Figure-a

Figure-b

Figure-c

Figure-d

(A) $W_{3} > W_{2} > W_{1} > W_{4}$ ✓ Correct
(B) $W_{3} > W_{2} > W_{4} > W_{1}$
(C) $W_{2} > W_{3} > W_{4} > W_{1}$
(D) $W_{2} > W_{3} > W_{1} > W_{4}$

Answer: (A)

Solution

Work done is equal to the area under the

F - x

curve. Area above the x-axis is positive, and area below the x-axis is negative. Comparing the net areas (positive minus negative) for the four graphs, we find

W_{3} > W_{2} > W_{1} > W_{4}

JEE Main · 2022 · 26 Jun 2022 · Shift 2 · Single correct option

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