If g represents the gravitational field due to a solid sphere of radius R, then a plot of gR3 v/s R in the region from r=0 to r=R will be
A straight line parallel to Y-axis
A straight line parallel to X-axis
A straight line passing through the origin, whose slope is GM
A straight line passing through the origin, whose slope is g
A
A straight line passing through the origin, whose slope is g
B
A straight line parallel to Y-axis
C
A straight line passing through the origin, whose slope is GM
D
A straight line parallel to X-axis
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Solution
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We know that field inside a solid sphere is given by g=GMx/R3⟹gR3=GMx
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