Work Energy Power

JEE Main level, single correct, medium

20 of 183

Question 20 of 183

Arrange the four graphs in descending order of total work done; where W1,W2,W3{W}_{1},{W}_{2},{W}_{3} and W4{W}_{4} are the work done corresponding to figure a,b,ca,b,c and dd respectively.

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Answer: (A) W3>W2>W1>W4{W}_{3}\gt {W}_{2}\gt {W}_{1}\gt {W}_{4}

As seen from figure, work done in first graph, Wa=0{W}_{a}=0.
Now, work done in figure bb, Wb=+ve{W}_{b}=+ve, and that in figure cc, Wc=+ve{W}_{c}=+ve, >Wb\gt {W}_{b}.
In last graph, work done is Wd=−ve{W}_{d}=-ve.
So, the descending order of total work done is
⇒Wc>Wb>Wa>Wd\Rightarrow {W}_{c}\gt {W}_{b}\gt {W}_{a}\gt {W}_{d}
⇒W3>W2>W1>W4\Rightarrow {W}_{3}\gt {W}_{2}\gt {W}_{1}\gt {W}_{4}

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