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Question
If g represents the gravitational field due to a solid sphere of radius R, then a plot of
$gR_{3}$
v/s R in the region from r=0 to r=R will be
A
A straight line parallel to Y-axis
B
A straight line parallel to X-axis
C
A straight line passing through the origin, whose slope is GM
D
A straight line passing through the origin, whose slope is g
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Correct option is C)
We know that field inside a solid sphere is given by
$g=GMx/R_{3}⟹gR_{3}=GMx$
Thus a plot of
$gR_{3}$
v/s x will give rise to a straight line , whose slope is GM
The correct option is (c)
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