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.
A
U1=U2=U3
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B
U1>U2>U3
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C
U1<U2<U3
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D
U1>U2<U3
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Solution
The correct option is AU1=U2=U3 Gravitational potential energy is path independent because gravitational force is conservative in nature. Thus, U1=U2=U3