Question

# Taking the gravitational potential at a point infinte distance away as zero, the gravitational potential at a point A is âˆ’5 unit. If the gravitational potential at a point infinite distance away is taken as +10 units, the potential at a point A is

A
5 unit
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B
+5 unit
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C
+10 unit
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D
+15 unit
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Solution

## The correct option is B +5 unitThe gravitational potential V at a point distance ′r′ from a body a mass m is equal to the amount of work done in moving a unit mass from infinity to that pointVr−V∞=−∫r∞¯E.d¯r=−GM(1/r−1/∞)=−GMr[As¯E=−dVdr](i) In the first case when V∞=0,Vr=−GMr=−5 unit(ii) In the second case V∞=+10 unit Vr−10=−5or Vr=+5 unit

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