Earth's Gravitational Potential at 4.48×10⁷ m

Practice question

Question

What is the gravitational potential due to Earth at 4.48×107m from its center? (ME\=6×1024kg,G\=6.67×10−11N m2/kg2)

Options

Choose one · Correct answer highlighted

-8.9 × 10⁶ J/kg Correct -9.0 × 10⁶ J/kg -9.1 × 10⁶ J/kg -9.2 × 10⁶ J/kg

Explanation

U = −GMEr. U = −6.67×10−11×6×10244.48×107. U = −8.936×106J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -8.9 × 10⁶ J/kg. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

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