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Question

If U1,U2,U3 represent the potential energy differences for moving a particle from A to B along three different paths 1,2 & 3 (as shown in the figure) in the gravitational field of point mass m, find the correct relation between U1,U2 & U3.


  1. U1=U2=U3
  2. U1>U2>U3
  3. U1<U2<U3
  4. U1>U2<U3


Solution

The correct option is A U1=U2=U3
Gravitational potential energy is path independent because gravitational force is conservative in nature.
Thus, U1=U2=U3

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