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text  Two satellites of masses  end text m subscript 1 text  and  end text m subscript 2 open parentheses m subscript 1 greater than m subscript 2 close parentheses text  are revolving round the earth in circular orbits  end text
text  of radius  end text r subscript 1 text  and  end text r subscript 2 open parentheses r subscript 1 greater than r subscript 2 close parentheses text  respectively. Which of the following statements is true regarding  end text
text  their speeds  end text v subscript 1 text  and  end text v subscript 2 ?

  1. v subscript 1 equals v subscript 2
  2. v subscript 1 less than v subscript 2
  3. v subscript 1 greater than v subscript 2
  4. v subscript 1 over r subscript 1 equals v subscript 2 over r subscript 2

The correct answer is: v subscript 1 less than v subscript 2


    v equals square root of fraction numerator G M over denominator r end fraction end root text  if  end text r subscript 1 greater than r subscript 2 text  then  end text v subscript 1 less than v subscript 2

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