Satellite orbital speed at 11RE from Earth’s center

Practice question

Question

A satellite orbits Earth at 11RE from the center. What is its orbital speed? (g\=9.8m/s2,RE\=6.4×106m)

Options

Choose one · Correct answer highlighted

2.3 × 10³ m/s 2.4 × 10³ m/s Correct 2.5 × 10³ m/s 2.6 × 10³ m/s

Explanation

v = gRE2r. r = 11RE, v = 9.8×6.4×10611. v = 5.698×106≈2.39×103m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.4 × 10³ m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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