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Byju's Answer

Standard XIII

Physics

Law of Conservation of Mechanical Energy

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

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

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

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

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

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Solution

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

As gravitational field is conservative in nature, work done in moving a particle from A to B does not depend upon the path followed by the body. It's equal for all the paths between any two given positions.

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If W1,W2 and W3 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

The correct option is B W1=W2=W3 As gravitational field is conservative in nature, work done in moving a particle from A to B does not depend upon the path followed by the body. It's equal for all the paths between any two given positions.

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

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

As gravitational field is conservative in nature, work done in moving a particle from A to B does not depend upon the path followed by the body. It's equal for all the paths between any two given positions.