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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 

 

Option: 1

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


Option: 2

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


Option: 3

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


Option: 4

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


Answers (1)

best_answer

 

 

Work Done in Conservative and Non-Conservative Field -

  1. Conservative  field- 

  • In the conservative field, work done by the force depends only upon the initial and final position.

  • In the conservative field, work done by the force does not depend on the path.

  • In the conservative field, work done by the force along a closed path is zero.

  1. Conservative force-

  • The forces of these type of fields are known as conservative forces.

                      Example: Electrostatic forces, gravitational forces, the spring force

So,

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

As gravitational field is conservative in nature. So work done in moving a particle from A to B does not depends upon the path followed by the body. It always remains the same. 

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chirag

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