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Consider the relationship between gravitational acceleration (g), Earth's radius (R), and distance (d): (i) g is at its peak on Earth's surface, (ii) g becomes zero at Earth's center, (iii) g is highest at the poles and lowest at the equator. Which of the following equations holds true?

1. The gravitational force GM_m/(R+h)^2 equals 1GM_m/16R^2.
2. The square of (R+h) equals 1/16 of R^2.
3. The ratio R/(R+h) equals 1/4.
4. The sum of R and h equals 4R.

Correct answer: The sum of R and h equals 4R.

Solution

The correct answer is D) R+h = 4R because the question relates to the variation of gravitational acceleration (g) with distance (R and h). The given conditions align with the relationship where g decreases with increasing distance from the Earth's surface.

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