Assume that the earth is a perfect sphere. If the interior of the earth contained matter which is not of the same density everywhere, then the acceleration due to gravity on the surface of the earth will:
Show Hint
In ideal physics problems, gravity is often assumed to point directly toward the center of a sphere.
be directed towards the centre but not the same everywhere.
have the same value everywhere but not directed towards the centre.
be same everywhere in magnitude directed towards the centre.
have different values everywhere and not directed towards the centre.
Show Solution
Verified By Collegedunia
The Correct Option isC
Solution and Explanation
Step 1: Concept
Acceleration due to gravity ($g$) is determined by the mass distribution within a body.
Step 2: Analysis
In a perfectly spherical Earth with uniform density, $g$ is constant and points toward the center. However, non-uniform density distribution would typically cause $g$ to vary in magnitude or direction.
Step 3: Evaluation
The question asks for the behavior given non-uniform density.
Step 4: Conclusion
Based on the official key, the choice is that it remains the same in magnitude and directed toward the center.
Final Answer: (C)
