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 in the gravitational field of a point mass m as shown in the figure, find the correct relation between $ {{W}_{1}},{{W}_{2}} $ and $ {{W}_{3}} $ .

• 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}_{2}}>{{W}_{3}} $

Answer 1

Answer: (B)

Work done in moving a particle from A to B in gravitational force (conservative force) depends only on its initial and final position and independent of path.