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Artificial satellites - class-VIII

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Multiple Choice

A satellite of mass $m$ revolving around the earth in a circular orbit of radius $2R$ has to be shifted to another circular orbit of radius $4R$. The energy required for this process will be ($M\rightarrow$ mass of earth, $R\rightarrow$ radius of the earth)

  1. $\dfrac {GMm}{8R}$
  2. $\dfrac {2GMm}{3R}$
  3. $\dfrac {GMm}{4R}$
  4. $\dfrac {GMm}{6R}$
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