JEE Main · 2017 · 02 Apr 2017 · Offline · Gravitation

The variation of acceleration due to gravity

g

with distance

d

from centre of the earth is best represented by (

R =

Earth's radius):

(A)(see structure)
(B)(see structure)
✓ Correct
(C)(see structure)
(D)(see structure)

Answer: (B)

Solution

Inside the Earth the field climbs in step with distance from the centre,

g \propto d

for

d < R

, a straight line from the origin. Outside, gravity follows the inverse-square law,

g \propto \frac{1}{d ^{2}}

. So

g

rises linearly to its peak right at the surface

d = R

and then tails off as a

\frac{1}{d ^{2}}

curve — that is the graph to pick.

JEE Main · 2017 · 02 Apr 2017 · Offline · Single correct option

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