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Motion In Straight Line

Question
CBSEENPH11020554

If ve is escape velocity and vo is orbital velocity of a satellite for orbit close to the Earth's surface, then these are related by

  • straight nu subscript degree equals square root of 2 straight v subscript straight e
  • straight v subscript straight o space equals straight v subscript straight e
  • straight v subscript straight e space equals square root of 2 straight v subscript straight o end root
  • straight v subscript straight o space equals square root of 2 straight v subscript straight e end root

Solution

C.

straight v subscript straight e space equals square root of 2 straight v subscript straight o end root Orbital space velocity space of space satelite space is space given space by
straight v subscript straight o space equals space square root of fraction numerator 2 GM over denominator straight R end fraction end root
Hence comma space straight v subscript straight e space equals space square root of 2 straight v subscript straight o end root