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Q.

The variation of gravitational force on a mass due to the solid sphere of mass M and radius R is depicted as

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a

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b

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c

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d

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answer is C.

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Detailed Solution

The gravitational force due to solid sphere is

from universal law of gravitation   F=GMmr2 case 1:   for a point inside sphere, Force of attraction is,                 F=GMmR3r......for r<R here universal gravitation constant=G; mass=m ; sphere mass=M; distance=r; radius of the sphere=R                here if r=0 then F=0                if rR then F α r  , hence graph is a straight line upto r=R  case 2:    for a point outside sphere, Force of attraction is,            F=GMmr2 for rR            for rR,  F α 1r2 graph is a curve

 

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