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Artificial Satellites

If W1,W2, and...

Question

If $W_{1}, W_{2}$ , and $W_{3}$ represent the work done in moving a particle from $A$ to $B$ along three different paths $1, 2$ and $3$ respectively (as shown) in the gravitational field of a point mass $m$ , find the correct relation between $W_{1}, W_{2}$ and $W_{3}$

A

W_{1} < W_{2} < W_{3}

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B

W_{1} > W_{2} > W_{3}

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C

W_{2} > W_{1} > W_{3}

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D

W_{1} = W_{2} = W_{3}

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Solution

The correct option is D $W_{1} = W_{2} = W_{3}$
Gravitational force is a conservative force and work done against it is a point function i.e., does not depend on the path.

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Artificial Satellites

Standard VIII Physics

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