Which graph correctly shows how the magnitude of Earth’s gravitational field intensity E varies with distance r from Earth’s centre (uniform density approximation)?
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Question

Which graph correctly shows how the magnitude of Earth’s gravitational field intensity E varies with distance r from Earth’s centre (uniform density approximation)?

G1 Physics · Accepted Answer

Step 1: Inside the sphere, E=GM(r)/r² ∝r, so E rises linearly from zero at the centre. Step 2: For r>R, E=GM/r² and decreases smoothly. The graph combining the linear rise with inverse-square decline is Image 2. Final answer: B — Image 2.