GATE 2021 MT – Question 48
The work by $\mathbf F=2x\mathbf i+3y\mathbf j$ along a straight line from (0,0) to (1,2) is ______ (nearest integer).
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Correct answer: 7 to 7
Explanation
The force is conservative with potential φ=x²+1.5y². Work is φ(1,2)−φ(0,0)=1+6=**7**. Equivalently integrate with y=2x along the path.