For small depths inside the Earth

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

For small depths d (d≪R)d\,(d \ll R) inside the Earth, which of the following best describes the shape of the graph of acceleration due to gravity gg plotted against depth dd from the surface down to the centre? (a) gg increases linearly with depth, reaching 2g2g at d=Rd = R (b) gg decreases linearly with depth, reaching 00 at d=Rd = R (c) gg follows a downward-opening parabola, touching the dd-axis at d=Rd = R (d) gg decreases linearly but would reach 00 only at d=2Rd = 2R if the line is extrapolated

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