Gravitation Question 229

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 ) in the gravitational field of a point mass m, find the correct relation between $ [W_{1}] $ ,$ [W_{2}] $ and $ [W_{3}] $ .

Options:

A) $ [W_{1}>W_{2}>W_{3}] $

B) $ [W_{1}=W_{2}=W_{3}] $

C) $ [W_{1}<W_{2}<W_{3}] $

D) $ [W_{2}<W_{1}<W_{3}] $

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Answer:

Correct Answer: B

Solution:

  • As gravitational force is a conservative force, work done is independent of path. $ [\therefore W_{1}=W_{2}=W_{3}] $


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