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Conservative and Non Conservative Forces

If W1, W2 and...

Question

If $W_{1}, W_{2} a n d W_{3}$ 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 $W_{1}, W_{2} a n d W_{3}$ [IIT JEE 2003]

A

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

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B

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

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C

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

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D

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

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Solution

The correct option is B
$W_{1} = W_{2} = W_{3}$

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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If $W_{1}, W_{2} a n d W_{3}$ 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 $W_{1}, W_{2} a n d W_{3}$ [IIT JEE 2003]

If $W_{1}, W_{2} a n d W_{3}$ 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 $W_{1}, W_{2} a n d W_{3}$ [IIT JEE 2003]

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