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Taking the gravitational potential at a point infinte distance away as zero, the gravitational potential at a point A is 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 unit
The 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 point
VrV=r¯E.d¯r=GM(1/r1/)
=GMr[As¯E=dVdr]
(i) In the first case
when V=0,Vr=GMr=5 unit
(ii) In the second case V=+10 unit
Vr10=5
or Vr=+5 unit

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