A satellite in a circular orbit of radius around Earth takes to complete one revolution

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A satellite in a circular orbit of radius 42 400 km42\,400\,\text{km} around Earth takes 24 h24\,\text{h} to complete one revolution. Approximately what orbital radius is required for another satellite to have a period of 12 h12\,\text{h}? (a) 21 200 km21\,200\,\text{km} (b) 29 000 km29\,000\,\text{km} (c) 26 700 km26\,700\,\text{km} (d) 30 000 km30\,000\,\text{km}

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