Which of thefollowingmost closely depicts the correctvariation of the gravitational potential V(r )due toa large planet of radius R and unifrom mass denisty ?

Which of thefollowingmost closely depicts the correctvariation of the

1.	Which of thefollowingmost closely depicts the correctvariation of the gravitational potential V(r )due toa large planet of radius R and unifrom mass denisty ?
Answer» Solution :Here LARGE planet is assumed to be a solid sphere of radius R at an internal point of this sphere `r lt R` the gravitonalpotentialvaries non lineraly with r as `V_(in)=-(GM)/(2r^(3))(3R^(2)-r^(2))` clearly v will b maximum at centre and minimum at the surfaceaso the valueof potential is negatve (as `r lt R)`so the GRAPH given in option c is hte correct ONE

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Which of thefollowingmost closely depicts the correctvariation of the gravitational potential V(r )due toa large planet of radius R and unifrom mass denisty ?

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