Practice question
Question
A body experiences g\=7.35m/s2 at a certain height above Earth. What is the height? (g0\=9.8m/s2,RE\=6.4×106m)
Explanation
g(h) = g0(1+h/RE)2. 7.35 = 9.8(1+h/RE)2. (1+h/RE)2 = 9.87.35≈1.333. 1+h/RE = 1.333≈1.154. h/RE = 0.154. h = 0.154×6.4×106≈9.86×105m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 9.9 × 10⁵ m. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
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