Practice question
Question
What does the constant k in Kepler’s third law (T2\=kr3) depend on for satellites?
Explanation
T2 = 4π2GMEr3 for satellites, where k = 4π2GME. Thus, k depends on the mass of the central body (Earth) and universal constants, not the satellite’s mass. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Mass of the central body. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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