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Motion In Straight Line

Question
CBSEENPH11020677

A particle of mass M is situated at the centre of spherical shell of mass and radius a. Th magnitude of the gravitational potential at a points situated at a/2 distance from the centre, will be

  • 2GM/a

  • 3GM/a

  • 4GM/a

  • GM/a

Solution

B.

3GM/a

VP = Vsphere + Vpractical


straight V subscript straight p space equals space GM over straight a space plus fraction numerator GM over denominator straight a divided by 2 end fraction

straight V space equals space GM over straight a space plus space fraction numerator 2 GM over denominator straight a end fraction

straight V subscript straight p space equals fraction numerator space 3 GM over denominator straight a end fraction