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Question

If ω1,ω2 and ω3 represent the work done in moving a particle from A to B along three different paths 1, 2, and 3 respectively in the presence of a gravitational field, then find the correct relation between ω1,ω2 and ω3.


A

ω1>ω2>ω3

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B

ω1<ω2<ω3

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C

ω1=ω2=ω3

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D

None of these

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Solution

The correct option is C

ω1=ω2=ω3


Gravitational force is conservative in nature, so the work done is independent of the path taken. Hence, ω1=ω2=ω3.


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