question_answer

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 \[{{W}_{3}}\]             [IIT-JEE Screening 2003]

A)             \[{{W}_{1}}>{{W}_{2}}>{{W}_{3}}\]

B)               \[{{W}_{1}}={{W}_{2}}={{W}_{3}}\]

C)             \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\]

D)             \[{{W}_{2}}>{{W}_{1}}>{{W}_{3}}\]