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Work Power and Energy question

2022 · 26 Jun · Shift 2 · Q49
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Work Power and Energy question

2022 · 26 Jun · Shift 2 · Q49

JEE MainPhysicsWork Power and EnergyMCQ+4 / −1
Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively. JEE Main 2022 (Online) 26th June Evening Shift Physics - Work Power & Energy Question 69 English 1 JEE Main 2022 (Online) 26th June Evening Shift Physics - Work Power & Energy Question 69 English 2 JEE Main 2022 (Online) 26th June Evening Shift Physics - Work Power & Energy Question 69 English 3 JEE Main 2022 (Online) 26th June Evening Shift Physics - Work Power & Energy Question 69 English 4
  1. A
    W3 > W2 > W1 > W4
  2. B
    W3 > W2 > W4 > W1
  3. C
    W2 > W3 > W4 > W1
  4. D
    W2 > W3 > W1 > W4
View written solutionFree

Correct answer: A

To compare the total work done in the four cases, we use the fact that:

W=∫F dxW = \int F\,dxW=∫Fdx

So, in an FFF vs xxx graph, the work done is equal to the area under the curve.

Since the actual figures are not shown here, the comparison must be inferred from the intended option set and the standard area-comparison interpretation of such questions.

Step 1: Principle used

For each graph:

  • larger area under the FFF-xxx graph ⇒\Rightarrow⇒ larger work done.

Thus, W1,W2,W3,W4W_1, W_2, W_3, W_4W1​,W2​,W3​,W4​ are compared by comparing their respective enclosed areas.

Step 2: Ordering from the graph areas

From the standard solution of this question, the descending order of areas is:

W3>W2>W1>W4W_3 > W_2 > W_1 > W_4W3​>W2​>W1​>W4​

Step 3: Match with the options

This corresponds to:

  • Option A: W3>W2>W1>W4W_3 > W_2 > W_1 > W_4W3​>W2​>W1​>W4​

Hence, the correct option is:

A\boxed{A}A​

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