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mechanics
Easy

Question

A particle of mass M is situated at the centre of a spherical shell of same mass and radius R. The gravitational potential at a point situated at 5 distance from the centre will be

  1. negative fraction numerator G M over denominator R end fraction
  2. negative fraction numerator 4 G M over denominator R end fraction
  3. negative fraction numerator 2 G M over denominator R end fraction
  4. negative fraction numerator 3 G M over denominator R end fraction

The correct answer is: negative fraction numerator 3 G M over denominator R end fraction


    V subscript 1 equals negative fraction numerator G M over denominator left parenthesis R divided by 2 right parenthesis end fraction

    table attributes columnalign left end attributes row cell V subscript 2 equals negative fraction numerator G M over denominator R end fraction end cell row cell V equals V subscript 1 plus V subscript 2 end cell row cell equals negative fraction numerator G M over denominator left parenthesis R divided by 2 right parenthesis end fraction plus open parentheses negative fraction numerator G M over denominator R end fraction close parentheses equals negative fraction numerator 2 G M over denominator R end fraction minus fraction numerator G M over denominator R end fraction equals negative fraction numerator 3 G M over denominator R end fraction end cell end table

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