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Question

A plot of gravitational field v/s distance of a point from the center for a solid sphere of radius R revealed
  1. the slope of the curve from r=0 to r=R is a straight line with slope being proportional to density of the object
  2. the slope of the curve from r=0 to r=R is a straight line with slope = g
  3. the slope of the curve from r=0 to r=R is a straight line with slope = 0
  4. the slope of the curve from r=0 to r=R is a straight line with slope = GM

A
the slope of the curve from r=0 to r=R is a straight line with slope being proportional to density of the object
B
the slope of the curve from r=0 to r=R is a straight line with slope = 0
C
the slope of the curve from r=0 to r=R is a straight line with slope = g
D
the slope of the curve from r=0 to r=R is a straight line with slope = GM
Solution
Verified by Toppr

The field is found to be linearly proportional to the distance until r=R and is given by g=GMx/R3.

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