Earth's Gravitational Potential Calculation Question

Practice question

Question

What is the gravitational potential due to Earth at 1.92×107m from its center? (ME\=6×1024kg,G\=6.67×10−11N m2/kg2)

Options

Choose one · Correct answer highlighted

-2.0 × 10⁷ J/kg -2.1 × 10⁷ J/kg Correct -2.2 × 10⁷ J/kg -2.3 × 10⁷ J/kg

Explanation

U = −GMEr. U = −6.67×10−11×6×10241.92×107. U = −2.083×107J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -2.1 × 10⁷ J/kg. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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