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A particle is...

Question

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

A

W_{2} = 2 W_{2}

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B

W_{2} = 4 W_{1}

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C

W_{1} = 2 W_{2}

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D

W_{1} = W_{2}

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Solution

The correct option is D $W_{1} = W_{2}$
The force $\to F = 3^i + 4^j$ is constant
and non dissipating and hence conservative

$W_{1} = W_{2}$
Final Answer: (a)

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