A satellite of mass $m$ is at a distance $a$ from $a$ star of mass $M$. The speed of satellite is $u$. Suppose the law of universal gravity is $F =  - G\frac{{Mm}}{{{r^{2.1}}}}$  instead of $F =  - G\frac{{Mm}}{{{r^2}}}$, find the speed of the statellite when it is at $a$ distance $b$ from the star.

  • A

    $\sqrt {{u^2} + 2GM\left( {\frac{1}{{{b^{1.1}}}} - \frac{1}{{{a^{1.1}}}}} \right)} $

  • B

    $\sqrt {{u^2} + GM\left( {\frac{1}{{{a^{1.1}}}} - \frac{1}{{{b^{1.1}}}}} \right)}$

  • C

    $\sqrt {{u^2} + \frac{2}{{1.1}}GM\left( {\frac{1}{{{b^{1.1}}}} - \frac{1}{{{a^{1.1}}}}} \right)}$

  • D

    $\sqrt {{u^2} + \frac{2}{{2.1}}GM\left( {\frac{1}{{{b^{1.1}}}} - \frac{1}{{{a^{1.1}}}}} \right)}$

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