Gravitation Inside Earth
Gravitational force on a mass inside Earth (uniform density) at distance r < R from center varies as:
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About This Question
- Subject
- physics
- Chapter
- gravitation
- Topic
- gravitation inside earth
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
r
Using Gauss's Law for gravity or Shell Theorem:
- Only the mass inside the sphere of radius r exerts a net force.
- Menc=ρ×34πr3. Since density ρ is uniform, Menc∝r3.
- Force F=r2GMencm∝r2r3=r.
- Thus, the field increases linearly from zero at the center to g at the surface.
This medium difficulty physics question is from the chapter gravitation, covering the topic of gravitation inside earth. It appeared in the 2025 exam.
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