A particle is moved from \( (0,0) \) to \( (a, a) \) under a force \( \vec{F}=(3 \hat{i}+4 \hat{....

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A particle is moved from \( (0,0) \) to \( (a, a) \) under a force \( \vec{F}=(3 \hat{i}+4 \hat{j}) \) from two paths. Path 1 is \( O P \) and path
\( \mathrm{P} \)
2 is \( O Q P \). Let \( W_{1} \) and \( W_{2} \) be the work done by this force in these two paths. Then:
(1) \( W_{1}=W_{2} \)
(2) \( W_{1}=2 W_{2} \)
(3) \( W_{2}=2 W_{1} \)
(4) \( W_{2}=4 W_{2} \)


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