Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Which of the following equations is an expression of Kepler's third law?
Options
A T² = 4π²R³/gr²
Correct Answer
B mω²r = GmM/r²
C mg = gr/G
D T² = 4π²R³/gr²
Correct Answer

Option A is the correct answer.

Detailed Explanation

Kepler's third law: T² ∝ R³. For circular orbits, T² = (4π²/GM)R³. Option A has gr² in denominator, which is not correct. But among given, A and D are same, and resemble the form with g and r, but g depends on planet. None are exact.

Hint

T² ∝ R³.

Question Info