JEE Main 2017 — Gravitation Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
The mass density of a spherical body is given by
(r) = for r R and (r) = 0 for r > R,
where r is the distance from the centre.
The correct graph that describes qualitatively the acceleration, a, of a test particle as a function of r is :
(r) = for r R and (r) = 0 for r > R,
where r is the distance from the centre.
The correct graph that describes qualitatively the acceleration, a, of a test particle as a function of r is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation
For inside the spherical body, we have
Therefore, = constant
For inside the spherical body, we have
Therefore, the correct graph that describes qualitatively the acceleration, a, of a test particle as a function of r is the one depicted in option (c).
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