Practice question
Question
A satellite orbits a planet at 6×107m from its center with a period of 15 hours. What is the planet’s mass? (G\=6.67×10−11N m2/kg2)
Explanation
M = 4π2r3GT2. T = 15×3600 = 54000s, T2 = 2.916×109s2. r3 = (6×107)3 = 2.16×1023m3. M = 4×(3.14)2×2.16×10236.67×10−11×2.916×109. M = 8.51×10241.948×10−1≈4.37×1025kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.4 × 10²⁵ kg. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
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