Escape speed from a planet calculation

Practice question

Question

What is the escape speed from a planet with mass 4.5×1024kg and radius 6×106m? (G\=6.67×10−11N m2/kg2)

Options

Choose one · Correct answer highlighted

9.8 km/s 9.9 km/s 10.0 km/s Correct 10.1 km/s

Explanation

ve = 2GMR. ve = 2×6.67×10−11×4.5×10246×106. ve = 1.0005×108≈1.00×104m/s = 10.0km/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 10.0 km/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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