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Assuming the earth to have a constant density, point out which of the following curves show the variation of acceleration due to gravity from the centre of earth to the points far away from the surface of earth

a
b
c
d
None of these

detailed solution

Correct option is C

acceleration due to gravity inside the earth,g=GMR3r  i.e.,g∝r (if rR) from surface of  the earth, g=GMr2⇒ g∝1r2 (if r> R)

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Assuming the earth to have a constant density, point out which of the following curves show the variation of acceleration due to gravity from the centre of earth to the points far away from the surface of earth 


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